experiments.ipynb

{
 "cells": [
  {
   "attachments": {
    "image.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\\Omega = \\left\\{ \\omega = (\\omega_1, \\omega_2, ..., \\omega_n, ...): \\omega_i \\in \\left\\{ 0, 1, 2, ...\\right\\} \\right\\}$$\n",
    "$$\\mathcal{F}=2^\\Omega$$\n",
    "$$P(\\omega_{i+1}=k+1 \\;|\\; \\omega_i=k)=\\frac{\\lambda}{\\mu + \\lambda}$$\n",
    "$$P(\\omega_{i+1}=k-1 \\;|\\; \\omega_i=k)=\\frac{\\mu}{\\mu + \\lambda}$$\n",
    "$$P(\\omega_{i+1}=1 \\;|\\; \\omega_i=0)=1$$\n",
    "$$$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from queue_simulation.markovian import Markovian\n",
    "\n",
    "import plotly.express as px\n",
    "import plotly.graph_objects as go\n",
    "import numpy as np\n",
    "import plotly.io as pio\n",
    "\n",
    "from plotly.subplots import make_subplots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_metrics_time_dependency(lmbd: float, mu: float, runs: int = 10000) -> None:\n",
    "    queue = Markovian(lmbd, mu)\n",
    "    metrics = queue.run(10000)\n",
    "    print(f\"Average Queue Size = {metrics['Average Queue Size']}\")\n",
    "    print(f\"Average System Time = {metrics['Average System Time']}\")\n",
    "\n",
    "    fig = make_subplots(rows=2, cols=1, subplot_titles=(\"Average Queue Size\", \"Average System Time\"))\n",
    "\n",
    "    fig.add_trace(\n",
    "        go.Scatter(x=list(range(len(metrics[\"Average Queue Size Per Moment\"]))), y=metrics[\"Average Queue Size Per Moment\"]), \n",
    "        row=1, col=1\n",
    "    )\n",
    "\n",
    "    fig.add_trace(\n",
    "        go.Scatter(x=list(range(len(metrics[\"Average System Time Per Moment\"]))), y=metrics[\"Average System Time Per Moment\"]), \n",
    "        row=2, col=1\n",
    "    )\n",
    "\n",
    "    fig.update_layout(\n",
    "        title_text=f\"λ = {lmbd}, µ = {mu}\",\n",
    "        height=800, width=1200\n",
    "    )\n",
    "\n",
    "    fig.show(\"svg\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Average Queue Size = 0.1829640170766416\n",
      "Average System Time = 0.5167039849945307\n"
     ]
    },
    {
     "data": {
      "image/svg+xml": "<svg class=\"main-svg\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"1200\" height=\"800\" style=\"\" viewBox=\"0 0 1200 800\"><rect x=\"0\" y=\"0\" width=\"1200\" height=\"800\" style=\"fill: rgb(255, 255, 255); fill-opacity: 1;\"/><defs id=\"defs-38ea28\"><g class=\"clips\"><clipPath id=\"clip38ea28xyplot\" class=\"plotclip\"><rect width=\"1000\" height=\"232.5\"/></clipPath><clipPath id=\"clip38ea28x2y2plot\" class=\"plotclip\"><rect width=\"1000\" height=\"232.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip38ea28x\"><rect x=\"80\" y=\"0\" width=\"1000\" height=\"800\"/></clipPath><clipPath class=\"axesclip\" id=\"clip38ea28y\"><rect x=\"0\" y=\"100\" width=\"1200\" height=\"232.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip38ea28xy\"><rect x=\"80\" y=\"100\" width=\"1000\" height=\"232.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip38ea28y2\"><rect x=\"0\" y=\"487.5\" width=\"1200\" height=\"232.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip38ea28xy2\"><rect x=\"80\" y=\"487.5\" width=\"1000\" height=\"232.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip38ea28x2\"><rect x=\"80\" y=\"0\" width=\"1000\" height=\"800\"/></clipPath><clipPath class=\"axesclip\" id=\"clip38ea28x2y\"><rect x=\"80\" y=\"100\" width=\"1000\" height=\"232.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip38ea28x2y2\"><rect x=\"80\" y=\"487.5\" width=\"1000\" height=\"232.5\"/></clipPath></g><g class=\"gradients\"/><g class=\"patterns\"/></defs><g class=\"bglayer\"><rect class=\"bg\" x=\"80\" y=\"100\" width=\"1000\" height=\"232.5\" style=\"fill: rgb(229, 236, 246); fill-opacity: 1; stroke-width: 0;\"/><rect class=\"bg\" x=\"80\" y=\"487.5\" width=\"1000\" height=\"232.5\" style=\"fill: rgb(229, 236, 246); fill-opacity: 1; stroke-width: 0;\"/></g><g class=\"layer-below\"><g class=\"imagelayer\"/><g class=\"shapelayer\"/></g><g class=\"cartesianlayer\"><g class=\"subplot xy\"><g class=\"layer-subplot\"><g class=\"shapelayer\"/><g class=\"imagelayer\"/></g><g class=\"gridlayer\"><g class=\"x\"><path class=\"xgrid crisp\" transform=\"translate(181.66,0)\" d=\"M0,100v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xgrid crisp\" transform=\"translate(283.31,0)\" d=\"M0,100v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xgrid crisp\" transform=\"translate(384.97,0)\" d=\"M0,100v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xgrid crisp\" transform=\"translate(486.63,0)\" d=\"M0,100v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xgrid crisp\" transform=\"translate(588.29,0)\" d=\"M0,100v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xgrid crisp\" transform=\"translate(689.94,0)\" d=\"M0,100v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xgrid crisp\" transform=\"translate(791.6,0)\" d=\"M0,100v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xgrid crisp\" transform=\"translate(893.26,0)\" d=\"M0,100v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xgrid crisp\" transform=\"translate(994.91,0)\" d=\"M0,100v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/></g><g class=\"y\"><path class=\"ygrid crisp\" transform=\"translate(0,284.26)\" d=\"M80,0h1000\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"ygrid crisp\" transform=\"translate(0,247.64)\" d=\"M80,0h1000\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"ygrid crisp\" transform=\"translate(0,211.01999999999998)\" d=\"M80,0h1000\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"ygrid crisp\" transform=\"translate(0,174.4)\" d=\"M80,0h1000\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"ygrid crisp\" transform=\"translate(0,137.78)\" d=\"M80,0h1000\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"ygrid crisp\" transform=\"translate(0,101.16)\" d=\"M80,0h1000\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/></g></g><g class=\"zerolinelayer\"><path class=\"xzl zl crisp\" transform=\"translate(80,0)\" d=\"M0,100v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 2px;\"/><path class=\"yzl zl crisp\" transform=\"translate(0,320.88)\" d=\"M80,0h1000\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 2px;\"/></g><path class=\"xlines-below\"/><path class=\"ylines-below\"/><g class=\"overlines-below\"/><g class=\"xaxislayer-below\"/><g class=\"yaxislayer-below\"/><g class=\"overaxes-below\"/><g class=\"plot\" transform=\"translate(80,100)\" clip-path=\"url(#clip38ea28xyplot)\"><g class=\"scatterlayer mlayer\"><g class=\"trace scatter tracebf613d\" style=\"stroke-miterlimit: 2; opacity: 1;\"><g class=\"fills\"/><g class=\"errorbars\"/><g class=\"lines\"><path class=\"js-line\" d=\"M0,220.88L0.51,220.88L0.61,11.63L1.83,143.78L1.93,147.64L3.56,180.19L3.66,181.29L3.76,182.33L3.86,145.76L3.96,129.33L4.57,141.27L4.68,142.96L5.79,157.74L5.9,146.4L6.61,109.91L6.81,113.17L6.91,114.73L8.54,134.71L8.64,127.2L11.49,150.21L11.59,144.45L14.84,161.09L14.94,161.49L19.42,175.1L19.52,175.34L19.82,176.04L19.92,172.55L21.75,176.59L21.86,170.02L22.06,170.48L22.16,167.37L22.97,159.57L23.08,159.84L23.18,160.11L25.82,166.31L25.92,160.8L26.94,163.06L27.04,157.79L28.06,160.06L28.16,157.65L30.5,162.48L30.6,155.4L31.21,132.89L31.51,133.74L31.62,134.02L31.72,131.96L32.33,133.63L32.43,133.91L33.34,136.28L33.45,132.1L34.26,119.04L34.46,119.63L34.56,119.93L35.48,122.53L35.58,120.72L35.68,118.93L35.88,117.43L37.71,122.44L37.82,120.74L38.32,112.38L38.93,114.07L39.04,114.35L39.75,110.65L39.95,111.2L40.05,111.48L41.98,114.73L42.09,113.22L42.39,98.23L43,99.96L43.1,100.25L43.81,98.81L43.92,99.09L44.02,99.38L44.12,99.65L44.22,96.57L44.32,93.51L44.93,95.23L45.03,95.51L46.86,100.4L46.97,97.49L47.17,93.3L47.78,94.93L47.88,95.19L50.42,100.04L50.52,98.81L53.27,103.7L53.37,102.53L54.08,104.08L54.18,102.93L54.28,100.41L54.79,97.46L55.1,98.14L55.2,98.36L58.05,104.36L58.15,103.29L58.25,103.49L60.49,107.82L60.79,107.17L60.89,103.7L61.2,100.63L61.81,101.82L61.91,102.01L67.3,111.52L67.4,108.37L67.7,103.39L68.31,104.43L68.42,104.61L69.43,105.24L69.53,103.27L71.16,105.95L71.26,104.03L73.29,106.25L73.4,104.38L73.5,103.53L74.11,104.5L74.21,104.66L75.84,107.15L75.94,105.34L76.14,105.65L76.24,102.88L79.39,106.62L79.5,104.89L82.75,108.55L82.85,107.79L83.56,106.97L83.66,107.11L83.77,107.25L85.7,108.94L85.8,108.2L85.9,107.47L86.51,108.27L86.61,108.4L89.15,110.77L89.25,109.23L89.56,109.61L89.66,108.9L89.76,106.54L89.86,105.85L90.47,106.62L90.58,106.75L90.78,106.19L91.69,107.33L91.8,106.64L91.9,106.77L92,106.09L92.1,104.6L93.12,105.07L93.22,104.4L93.73,101.85L94.03,102.24L94.13,102.37L94.34,100.26L94.95,101.03L95.05,101.16L96.17,102.55L96.27,101.9L96.37,99.71L96.88,90.37L97.39,91.05L97.49,91.18L97.9,91.72L98,91.1L98.1,90.47L101.35,93.92L101.45,93.31L102.27,94.33L102.37,93L102.47,90.95L103.08,91.72L103.18,91.84L104.1,83.69L104.5,84.22L104.61,84.35L105.22,85.15L105.32,83.86L106.23,84.34L106.33,83.77L108.47,85.78L108.57,85.22L108.67,84.67L109.28,85.43L109.38,85.55L110.6,87.04L110.81,86.62L110.91,86.07L112.13,86.87L112.23,86.33L115.18,89.13L115.28,88.6L115.48,88.18L115.99,88.77L116.09,88.88L118.94,91.41L119.04,90.9L122.6,94.06L122.7,93.56L124.02,94.91L124.12,94.42L124.22,93.32L126.97,95.49L127.07,94.42L127.38,91.22L127.99,91.84L128.09,91.94L130.93,94.17L131.04,93.7L135.41,97.26L135.51,95.7L138.46,98.36L138.56,97.92L138.66,97.47L139.68,98.37L139.78,97.93L139.88,97.48L142.01,99.34L142.12,98.38L146.49,101.52L146.59,101.1L146.79,100.76L147.3,101.17L147.4,101.25L151.47,103.97L151.57,103.07L151.67,102.16L152.28,102.64L152.38,102.72L152.59,102.39L153.1,102.78L153.2,102.86L157.87,105.88L157.97,105.01L158.08,104.62L158.69,105.06L158.79,105.14L158.99,105.29L159.19,104.97L159.3,104.57L162.65,106.51L162.75,106.13L169.56,109.86L169.67,109.92L172.72,111.45L172.82,111.08L179.42,114.71L179.53,114.36L179.93,114.6L180.14,113.89L180.24,113.12L180.34,112.77L180.95,113.14L181.05,113.2L185.22,115.22L185.32,114.87L187.76,115.46L187.86,115.51L189.59,115.69L189.69,114.96L192.64,116.19L192.74,115.86L192.84,113.99L193.25,111.9L193.35,110.04L194.16,110.12L194.27,110.18L202.6,113.99L202.7,113.68L203.21,113.95L203.31,112.54L203.82,110.98L204.13,111.15L204.23,111.2L208.8,112.89L208.91,112.59L213.78,114.36L213.89,114.06L215.31,114.08L215.41,113.78L216.12,112.41L216.53,112.62L216.63,112.67L219.88,113.59L219.99,113.3L226.19,115.59L226.29,115.31L226.39,115.03L227,115.31L227.1,115.36L228.22,115.23L228.32,114.95L229.13,115L229.24,115.04L229.34,114.77L229.95,115.05L230.05,115.09L232.69,115.98L232.79,115.06L233,113.56L233.61,113.84L233.71,113.88L233.81,113.61L234.42,113.89L234.52,113.94L238.28,115.31L238.39,114.73L238.49,114.47L239.1,114.74L239.2,114.78L239.3,114.52L239.91,114.79L240.01,114.83L241.74,115.28L241.84,114.71L243.88,115.29L243.98,114.11L244.18,112.98L244.79,113.25L244.89,113.3L250.38,115.06L250.48,114.51L250.79,114.64L250.89,113.79L252.62,114.23L252.72,113.98L252.82,113.73L253.23,113.02L253.63,113.19L253.74,113.23L255.87,113.55L255.97,113.3L262.99,115.6L263.09,115.36L265.22,116.21L265.32,115.69L265.43,115.17L266.85,115.17L266.95,114.66L268.17,114.58L268.27,114.35L268.48,113.04L269.09,113.29L269.19,113.33L270,112.82L270.1,112.86L272.34,113.48L272.44,112.7L273.56,108.79L273.66,108.83L273.76,108.87L274.68,108.16L274.78,108.2L275.19,108.1L275.29,107.6L276.51,106.48L276.61,106.53L281.79,107.84L281.89,107.61L285.05,108.08L285.15,107.6L285.35,106.9L285.96,107.14L286.06,106.92L287.49,107.49L287.59,107.01L287.69,106.27L288.6,105.86L288.71,105.9L293.69,107.34L293.79,107.13L299.07,109.14L299.18,108.68L299.28,108.47L300.9,108.58L301.01,107.88L302.12,107.06L302.23,107.1L307.72,108.65L307.82,108.44L310.26,108.61L310.36,108.4L314.22,109.31L314.32,109.11L316.66,109.7L316.76,109.03L317.68,108.89L317.78,108.92L319.91,108.97L320.02,108.54L322.66,108.77L322.76,108.34L324.08,107.65L324.18,107.69L330.08,109.03L330.18,108.84L331.5,106.6L331.61,106.63L332.62,106.31L332.72,106.34L338.42,107.61L338.52,107.2L339.43,107.07L339.53,107.11L341.87,107.88L341.97,107.48L342.08,107.08L342.18,106.68L342.89,106.92L342.99,106.95L344.41,106.99L344.52,106.37L345.53,106.06L345.63,106.1L348.18,106.29L348.28,106.11L348.38,105.72L349.09,105.96L349.19,105.99L349.6,104.84L350.11,105.01L350.21,105.05L355.39,105.9L355.49,105.51L356,102.96L356.51,103.13L356.61,103.16L360.27,103.74L360.37,103.36L361.8,103.41L361.9,102.82L363.02,101.75L363.12,101.78L365.46,102.34L365.56,101.76L366.27,98.34L366.68,98.47L366.78,98.51L366.88,97.93L367.59,98.17L367.69,98.21L373.49,99.31L373.59,99.14L374.4,99.21L374.5,99.24L378.77,100.22L378.88,99.66L383.45,100.53L383.55,100.36L387.92,101.15L388.02,100.99L389.24,100.6L389.35,100.25L391.48,100.33L391.58,99.98L391.79,99.67L392.29,99.82L392.4,99.86L393.62,100.23L393.82,99.54L393.92,99.38L399.31,100.46L399.41,100.12L400.02,99.93L400.12,99.59L400.22,99.43L405.51,100.28L405.61,100.13L408.46,100.42L408.56,100.09L409.68,99.51L409.78,99.54L409.98,99.6L410.08,99.08L410.19,98.75L414.25,99.23L414.35,99.08L418.01,99.61L418.12,99.29L423.71,100.19L423.81,100.04L425.94,99.6L426.04,99.63L429.09,99.97L429.2,99.3L430.31,98.93L430.42,98.96L432.35,98.81L432.45,98.67L437.02,99.27L437.13,99.29L441.9,100.1L442,99.96L443.63,100.07L443.73,99.6L444.55,99.48L444.65,99.51L447.09,99.51L447.19,99.37L448.51,99.06L448.61,98.43L449.53,98.01L449.63,98.04L450.54,98.12L450.65,97.49L451.76,95.16L451.87,95.19L453.9,95.26L454,94.96L455.42,94.7L455.53,94.56L456.44,94.49L456.54,94.52L460.3,94.9L460.4,94.77L466.61,95.81L466.71,95.68L468.64,95.56L468.74,95.27L470.47,95.09L470.57,94.96L474.43,95.67L474.53,95.07L475.45,93.75L475.55,93.78L477.99,93.18L478.09,93.21L480.33,93.34L480.43,92.74L481.35,91.29L481.45,91.31L487.85,92.56L487.95,92.28L489.58,92.25L489.68,91.82L501.68,94.02L501.78,93.89L502.69,93.83L502.8,93.85L508.29,94.64L508.39,94.37L509.1,93.67L509.3,93.72L509.4,93.75L512.86,92.86L512.96,92.89L518.04,93.42L518.15,93.31L519.77,93.42L519.87,92.87L520.99,91.86L521.09,91.88L523.03,91.79L523.13,91.53L524.04,91.05L524.14,91.07L527.8,91.27L527.9,91.15L531.06,91.22L531.16,91.1L533.8,90.49L533.9,90.52L536.95,90.56L537.05,90.45L538.38,90.63L538.48,90.66L545.29,91.6L545.39,91.21L546.3,90.75L546.41,90.77L549.56,90.84L549.66,90.73L552.71,90.78L552.81,90.67L555.66,90.53L555.76,90.15L556.47,89.78L556.57,89.81L556.67,89.83L563.18,90.68L563.28,90.44L566.53,90.67L566.64,90.03L567.55,89.06L567.65,89.09L572.94,89.52L573.04,89.29L586.97,91.52L587.07,91.29L591.75,91.81L591.85,91.2L592.15,89.64L592.76,89.77L592.86,89.79L595,89.76L595.1,89.79L598.76,89.84L598.86,89.74L604.25,90.17L604.35,90.07L605.67,89.74L605.77,89.76L612.18,90.28L612.28,90.18L613.09,89.99L613.2,90.01L618.18,90.46L618.28,90.12L619.09,90.06L619.19,90.08L619.8,90.21L619.9,89.63L620.01,89.05L620.72,87.04L620.92,87.08L621.02,87.11L628.14,87.79L628.24,87.69L631.59,87.81L631.7,87.6L632.61,87.08L632.71,87.11L646.23,89.33L646.34,89L647.96,89.22L648.06,89.24L649.59,88.86L649.69,88.77L656.91,89.65L657.01,89.45L664.53,90.26L664.63,90.17L669.51,90.34L669.61,90.25L677.85,91.07L677.95,90.87L679.07,90.87L679.17,90.88L681.41,90.66L681.51,90.57L684.15,90.31L684.25,90.22L685.47,90.12L685.57,89.71L686.39,89.54L686.49,89.56L693.3,90.2L693.4,90.12L695.13,90.33L695.23,90.35L702.04,90.98L702.14,90.9L716.48,92.35L716.58,92.16L723.8,92.93L723.9,92.75L735.69,93.89L735.79,93.8L737.01,93.41L737.11,93.22L737.93,92.86L738.03,92.88L749.31,93.91L749.42,93.63L750.43,93.21L750.53,93.23L752.47,93.35L752.57,93.37L755.21,93.33L755.31,93.34L758.06,93.22L758.16,92.94L758.97,92.88L759.07,92.9L764.05,93.05L764.16,92.58L765.07,91.76L765.17,91.78L774.52,92.37L774.63,92.29L780.12,92.82L780.22,92.64L782.66,92.66L782.76,92.68L788.76,92.9L788.86,92.82L790.69,92.36L790.79,92.19L792.21,88.38L792.31,88.21L795.67,88.12L795.77,88.04L797.8,88.19L797.91,88.21L804.41,88.45L804.51,88.37L807.05,88.24L807.16,87.79L807.87,86.34L808.07,86.38L808.17,86.39L810,86.6L810.1,86.62L816.31,87.19L816.41,87.02L817.22,86.97L817.32,86.99L818.44,86.9L818.54,86.37L829.42,87.23L829.52,87.16L830.03,86.7L830.13,86.45L831.35,85.66L831.45,85.68L836.54,85.79L836.64,85.63L840.91,85.7L841.01,85.45L848.63,85.87L848.73,85.8L850.06,85.14L850.16,85.15L857.99,85.96L858.09,85.97L859.31,85.56L859.41,85.31L863.58,85.45L863.68,85.38L865,84.64L865.1,84.66L866.42,84.26L866.52,83.94L871.71,84.07L871.81,83.91L872.52,83.34L872.62,83.27L880.96,83.9L881.06,83.66L890.82,84.49L890.92,84.34L893.67,84.01L893.77,83.86L894.68,83.5L894.78,83.52L897.53,83.19L897.63,83.12L901.7,83.17L901.8,83.18L910.44,83.75L910.54,83.44L911.56,83.19L911.66,83.2L921.42,83.93L921.52,83.87L930.16,84.42L930.26,84.35L932.8,84.09L932.91,83.94L943.28,84.82L943.38,84.75L949.48,85L949.58,84.86L951.71,85.08L951.81,85.1L962.59,85.92L962.69,85.86L974.99,86.88L975.09,86.81L976.11,86.72L976.21,86.74L983.43,87.04L983.53,86.98L991.66,87.48L991.77,87.42L995.32,87.29L995.43,87.08L998.88,86.88L998.98,86.81L1000,86.88\" style=\"vector-effect: non-scaling-stroke; fill: none; stroke: rgb(99, 110, 250); stroke-opacity: 1; stroke-width: 2px; opacity: 1;\"/></g><g class=\"points\"/><g class=\"text\"/></g></g></g><g class=\"overplot\"/><path class=\"xlines-above crisp\" d=\"M0,0\" style=\"fill: none;\"/><path class=\"ylines-above crisp\" d=\"M0,0\" style=\"fill: none;\"/><g class=\"overlines-above\"/><g class=\"xaxislayer-above\"><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"345.5\" transform=\"translate(80,0)\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\">0</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"345.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(181.66,0)\">1k</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"345.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(283.31,0)\">2k</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"345.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(384.97,0)\">3k</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"345.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(486.63,0)\">4k</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"345.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(588.29,0)\">5k</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"345.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(689.94,0)\">6k</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"345.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(791.6,0)\">7k</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"345.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(893.26,0)\">8k</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"345.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(994.91,0)\">9k</text></g></g><g class=\"yaxislayer-above\"><g class=\"ytick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" transform=\"translate(0,320.88)\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\">0</text></g><g class=\"ytick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,284.26)\">0.05</text></g><g class=\"ytick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,247.64)\">0.1</text></g><g class=\"ytick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,211.01999999999998)\">0.15</text></g><g class=\"ytick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,174.4)\">0.2</text></g><g class=\"ytick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,137.78)\">0.25</text></g><g class=\"ytick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,101.16)\">0.3</text></g></g><g class=\"overaxes-above\"/></g><g class=\"subplot x2y2\"><g class=\"layer-subplot\"><g class=\"shapelayer\"/><g class=\"imagelayer\"/></g><g class=\"gridlayer\"><g class=\"x2\"><path class=\"x2grid crisp\" transform=\"translate(181.66,0)\" d=\"M0,487.5v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x2grid crisp\" transform=\"translate(283.31,0)\" d=\"M0,487.5v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x2grid crisp\" transform=\"translate(384.97,0)\" d=\"M0,487.5v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x2grid crisp\" transform=\"translate(486.63,0)\" d=\"M0,487.5v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x2grid crisp\" transform=\"translate(588.29,0)\" d=\"M0,487.5v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x2grid crisp\" transform=\"translate(689.94,0)\" d=\"M0,487.5v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x2grid crisp\" transform=\"translate(791.6,0)\" d=\"M0,487.5v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x2grid crisp\" transform=\"translate(893.26,0)\" d=\"M0,487.5v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x2grid crisp\" transform=\"translate(994.91,0)\" d=\"M0,487.5v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/></g><g class=\"y2\"><path class=\"y2grid crisp\" transform=\"translate(0,649.89)\" d=\"M80,0h1000\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"y2grid crisp\" transform=\"translate(0,591.41)\" d=\"M80,0h1000\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"y2grid crisp\" transform=\"translate(0,532.93)\" d=\"M80,0h1000\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/></g></g><g class=\"zerolinelayer\"><path class=\"x2zl zl crisp\" transform=\"translate(80,0)\" d=\"M0,487.5v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 2px;\"/><path class=\"y2zl zl crisp\" transform=\"translate(0,708.38)\" d=\"M80,0h1000\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 2px;\"/></g><path class=\"xlines-below\"/><path class=\"ylines-below\"/><g class=\"overlines-below\"/><g class=\"xaxislayer-below\"/><g class=\"yaxislayer-below\"/><g class=\"overaxes-below\"/><g class=\"plot\" transform=\"translate(80,487.5)\" clip-path=\"url(#clip38ea28x2y2plot)\"><g class=\"scatterlayer mlayer\"><g class=\"trace scatter tracefffa59\" style=\"stroke-miterlimit: 2; opacity: 1;\"><g class=\"fills\"/><g class=\"errorbars\"/><g class=\"lines\"><path class=\"js-line\" d=\"M0,220.88L0.2,220.88L0.3,212.78L0.41,214.4L0.51,199.7L0.71,11.62L1.32,87.81L1.42,84.34L2.74,139.26L2.85,142.08L3.05,147.16L3.35,139.82L3.66,143.88L3.76,145.91L3.96,93.82L4.57,110.39L4.68,112.75L5.79,128.84L6,126.31L6.1,105.49L8.13,129.83L8.23,130.94L8.64,128.4L9.96,140.55L10.06,141.35L12.3,153.12L12.4,150.64L13.22,154.93L13.32,153.51L13.42,147.71L14.44,151.7L14.64,150.9L14.74,148.96L14.94,145.12L15.25,146.63L15.35,147.12L16.06,148.51L16.16,145.16L16.37,143.93L16.88,145.05L16.98,145L17.08,141.48L17.69,144.2L17.79,144.49L18.5,147.06L18.6,144.48L18.7,144.02L19.11,145.65L19.21,146.05L19.72,147.82L20.03,146.24L20.13,146.04L21.75,151.14L21.86,150.19L21.96,149.36L22.06,149.68L22.16,146.7L22.47,146.31L22.77,147.17L22.87,144.19L23.18,135.29L23.69,136.52L23.79,136.88L24.09,136.08L24.91,138.22L25.01,137.47L25.72,139.76L25.82,139.7L25.92,136.71L27.04,133.37L27.14,133.7L27.96,136L28.06,135.94L28.16,134.4L30.29,140.19L30.5,139.41L30.6,136.35L31.41,108.56L31.51,108.92L31.62,109.28L32.02,109.54L32.63,104.65L32.84,105.37L32.94,105.72L33.34,107.12L33.45,105.97L33.55,99.52L34.06,100.96L34.16,98.46L34.36,96.56L34.87,98.37L34.97,98.72L35.48,100.47L35.58,99.98L35.68,97.04L37.61,101.42L37.71,100.84L37.82,97.73L38.32,82.73L38.73,83.76L38.83,84.12L39.14,84.9L39.34,84.63L39.44,83.33L39.75,82.72L41.98,88.52L42.09,86.83L42.39,73.83L43,75.91L43.1,76.25L44.12,77.74L44.22,76.91L44.53,73.38L44.93,74.71L45.03,75.04L45.14,74.55L45.54,75.85L45.64,76.17L46.86,79.3L46.97,78.54L47.07,76.44L47.17,72.35L47.88,73.38L47.98,73.69L50.32,79.13L50.42,78.7L50.52,78.43L50.93,79.41L51.03,79.66L52.76,83.44L52.86,82.53L53.37,82.01L53.57,82.46L53.67,82.72L54.08,83.17L54.28,81.35L54.39,78.38L54.89,77.82L56.11,80.8L56.22,81.05L56.32,80.26L56.83,81.51L56.93,81.76L57.03,81.64L57.33,82.22L57.44,82.38L60.49,88.42L60.59,88.22L61.1,83.08L61.2,79.31L64.86,86.16L64.96,86.37L67.3,89.62L67.4,88.49L67.7,80.82L68.31,81.6L68.42,81.73L68.92,82.58L69.03,81.02L69.23,80.71L69.43,81.12L69.53,80.42L71.16,82.1L71.26,81.74L72.68,83.78L72.79,83.67L72.89,83.25L73.29,83.89L73.4,82.52L73.5,82.26L73.9,83.03L74.01,83.21L75.73,85.45L75.84,85.22L75.94,83.89L76.04,84.07L76.14,83.94L76.24,82.79L76.34,82.08L76.95,82.87L77.06,83.05L78.78,84.71L78.89,84.7L79.39,85.49L79.5,84.22L79.9,84.64L80,84.5L80.11,83.62L83.46,88.45L83.56,87.63L85.6,90.02L85.7,89.66L85.8,89.3L85.9,87.98L86.61,88.25L86.71,88.41L89.15,90.75L89.36,90.16L89.46,89.84L89.56,89.99L89.66,89.28L89.76,86.89L89.86,85.87L90.47,86.45L90.58,86.6L91.69,87.35L91.8,86.73L92.71,83.44L92.81,83.59L92.91,83.74L93.12,84.02L93.22,83.46L93.32,82L93.42,80.26L94.03,80.94L94.13,81.09L94.74,80.55L94.95,80.85L95.05,81L95.56,80.89L95.76,81.19L95.86,81.34L96.27,81.65L96.37,79.62L96.88,64.52L97.39,65.34L97.49,65.5L99.73,67.7L99.83,67.54L102.27,70.17L102.37,69.48L102.78,65.93L103.18,66.51L103.28,65.72L103.39,65.87L103.49,65.7L103.59,64.58L104.1,59.77L104.5,60.39L104.61,60.55L105.22,61.33L105.32,60.57L105.42,60.1L106.94,60.6L107.04,60.75L107.25,60.52L108.06,61.57L108.26,61.3L108.37,61.24L108.67,60.45L109.18,61.19L109.28,61.06L111.01,62.33L111.11,62.39L113.86,65.39L113.96,65.28L115.18,65.91L115.28,65.55L115.58,64.67L116.09,65.16L116.19,65.3L120.46,69.62L120.57,69.64L122.5,71.54L122.6,71.66L124.12,73.32L124.22,72.23L126.97,74.26L127.07,73.83L127.78,70.3L128.09,70.65L128.19,70.77L129.51,71.33L129.61,70.9L130.93,71.79L131.04,70.9L135.41,75.12L135.51,73.94L135.61,73.62L136.12,74.17L136.22,74.28L138.56,75.36L138.66,74.79L140.9,76.2L141,76.18L141.1,75.73L141.71,76.13L141.81,76.24L142.93,76.43L143.03,76.31L148.62,81.11L148.72,81.1L151.47,82.46L151.57,82.08L151.67,80.9L154.72,81.14L154.82,80.64L155.84,80.63L155.94,80.72L157.87,81.86L157.97,81.61L158.08,80.78L159.8,81.36L159.91,81.2L161.63,82.06L161.74,82.15L165.8,84.52L165.9,84.46L168.75,85.95L168.85,85.84L175.16,88.85L175.26,88.73L177.19,89.41L177.29,89.36L181.66,91.1L181.76,90.93L182.78,91.24L182.88,91.32L184.61,92.1L184.71,91.42L188.07,92.08L188.17,92.15L189.9,92.49L190,92.32L191.12,92.55L191.22,92.55L192.74,93.35L192.84,92.15L193.55,87.98L194.06,88.31L194.16,88.33L196.2,88.93L196.3,88.99L200.77,91.24L200.87,90.77L203.21,91.25L203.31,90.93L203.42,89.6L203.82,87.99L204.43,88.23L204.53,88.29L207.58,89.49L207.69,89.36L208.7,89.09L208.8,88.81L211.95,90.14L212.06,90.2L213.68,90.11L213.78,90.17L214.9,89.89L215,89.95L215.41,90.1L215.51,89.52L215.61,89.32L216.12,88.48L216.53,88.66L216.63,88.73L217.85,88.86L217.95,88.57L221,89.5L221.1,89.44L224.46,90.48L224.56,90.54L227.1,91.13L227.2,91.13L228.52,91.05L228.63,90.84L232.69,92.37L232.79,91.98L233,89.93L233.71,90.18L233.81,89.84L237.67,91.29L237.78,91.34L238.28,91.62L238.59,90.97L238.69,90.98L239.61,90.86L239.71,90.89L241.74,91.2L241.84,90.9L241.94,90.67L242.55,90.97L242.66,90.99L243.88,91.48L243.98,90.89L244.08,90.35L244.18,89.77L244.79,90.09L244.89,90.14L250.28,92.18L250.38,92.17L250.89,91.61L251.19,91.76L251.3,91.81L253.23,91.46L253.33,91.25L256.07,91.45L256.18,91.34L258.82,91.89L258.92,91.86L265.73,93L265.83,92.92L267.15,91.75L267.26,91.8L268.27,91.45L268.37,90.84L268.48,89.5L269.19,89.68L269.29,89.5L269.49,89.14L270,89.39L270.1,89.43L271.63,89.54L271.73,89.59L272.24,89.66L272.34,89.29L272.44,88.85L273.56,84.25L273.66,84.3L273.76,84.29L274.07,83.35L274.68,83.65L274.78,83.7L275.19,83.7L275.29,83.23L275.39,82.83L276.71,82.15L276.81,82.2L284.23,84.01L284.33,83.94L285.25,83.66L285.35,82.98L287.59,83.64L287.69,82.73L288.6,82.51L288.71,82.56L292.47,83.46L292.57,83.45L299.07,85.96L299.18,85.77L299.99,85.69L300.09,85.63L300.9,84.99L301.01,84.29L301.62,83.66L301.82,83.75L301.92,83.67L302.53,83.66L302.63,83.71L302.73,83.76L306.9,85.16L307,84.85L307.11,84.85L309.34,85.28L309.44,84.85L312.19,85.24L312.29,85.2L315.24,85.61L315.34,85.66L316.66,86L316.76,85.46L317.78,85.56L317.88,85.6L320.83,85.76L320.93,85.67L323.07,84.95L323.17,84.71L323.98,84.59L324.08,84.58L329.98,85.87L330.08,85.69L330.59,83.46L330.69,82.68L332.32,82.55L332.42,82.59L337.09,83.68L337.2,83.65L338.62,83.54L338.72,83.05L339.53,83.12L339.64,83.13L341.87,83.73L341.97,83.29L342.08,82.98L342.48,82.82L342.79,82.95L342.89,82.97L344.41,82.81L344.52,81.99L345.53,81.17L345.63,81.21L348.18,81.54L348.28,81.34L348.58,80.69L349.09,80.9L349.19,80.94L349.6,80.23L350.11,80.43L350.21,80.45L355.39,81.76L355.49,81.55L356.1,78.37L356.51,78.47L356.61,78.51L360.37,79.23L360.48,79.08L362,79.02L362.1,78.74L362.81,77.97L363.02,78.05L363.12,77.98L364.24,78.17L364.34,78.18L365.46,78.26L365.56,77.93L365.66,77.19L366.27,74.34L366.58,74.46L366.68,74.45L367.59,74.44L367.69,74.48L373.08,75.78L373.18,75.76L376.94,76.41L377.05,76.38L384.37,77.52L384.47,77.53L386.7,77.69L386.8,77.65L388.23,77.43L388.33,77.41L389.14,77.44L389.24,77.08L389.35,76.26L391.58,76.2L391.68,75.78L393.72,76.19L393.82,75.56L393.92,74.9L394.63,75.06L394.73,75.1L396.16,75.35L396.26,75.39L400.12,75.65L400.22,75.36L405,76.43L405.1,76.36L408.05,76.58L408.15,76.37L408.66,76.09L408.76,75.77L409.58,75.74L409.68,75.77L410.59,75.37L410.69,75.28L424.42,76.53L424.52,76.41L426.86,76.6L426.96,76.62L429.09,76.88L429.2,76.35L430.01,75.9L430.11,75.94L434.89,76.63L434.99,76.61L440.07,77.66L440.17,77.6L443.73,77.88L443.83,77.43L448.31,78.16L448.41,78.01L449.63,76.06L449.73,76.09L450.65,75.85L450.75,74.82L451.05,72.31L451.66,72.51L451.76,72.46L453.39,72.24L453.49,72.23L455.63,71.96L455.73,71.86L456.54,71.78L456.64,71.81L463.56,72.19L463.66,72.22L467.32,72.81L467.42,72.34L473.72,72.65L473.82,72.68L474.43,72.82L474.53,72.26L474.64,71.23L476.77,70.65L476.87,70.36L476.97,69.83L477.69,70.05L477.79,70.08L480.43,69.76L480.53,68.87L481.35,66.9L481.45,66.93L485.31,67.49L485.41,67.52L488.97,67.92L489.07,67.92L489.58,67.56L489.68,67.16L491,67.41L491.11,67.44L492.83,67.77L492.93,67.8L508.39,69.82L508.49,69.48L509.1,68.94L509.3,69L509.4,69.03L514.59,68.85L514.69,68.88L517.43,68.92L517.54,68.87L519.77,68.68L519.87,68.21L520.99,66.72L521.09,66.75L523.43,66.71L523.53,66.66L524.65,66.79L524.75,66.82L527.8,67.06L527.9,66.93L531.26,67.08L531.36,67.01L532.17,66.84L532.28,66.87L535.02,66.68L535.12,66.68L536.44,66.91L536.55,66.94L539.8,67.15L539.9,67.18L544.27,67.71L544.37,67.73L545.39,67.38L545.49,66.94L546.3,66.67L546.41,66.65L549.66,66.85L549.76,66.87L551.39,66.74L551.49,66.53L559.62,67.11L559.72,67.14L563.18,67.25L563.28,66.86L566.53,67.39L566.64,66.76L567.55,65.08L567.65,65.1L569.79,65.45L569.89,65.48L572.94,65.57L573.04,65.44L578.94,66.44L579.04,66.4L581.48,66.5L581.58,66.34L591.75,67.72L591.85,67.4L592.86,65.16L592.97,65.18L595.81,65.61L595.91,65.64L612.18,66.06L612.28,65.94L613.09,65.67L613.2,65.7L619.9,66.13L620.01,65.54L620.82,62.55L621.02,62.6L621.12,62.63L628.85,63.68L628.95,63.71L635.76,64.28L635.86,64.31L641.35,64.94L641.46,64.97L646.34,65.48L646.44,65.42L649.59,65.47L649.69,65.35L680.29,68.27L680.39,68.1L684.05,68.13L684.15,68.07L685.47,67.95L685.57,67.31L686.08,66.65L686.39,66.71L686.49,66.73L696.15,67.59L696.25,67.38L702.04,68.14L702.14,68.01L717.6,69.58L717.7,69.55L723.7,70.28L723.8,70.3L725.32,70.48L725.42,70.5L736.91,71.51L737.01,71.18L737.93,70.32L738.03,70.31L742.71,70.56L742.81,70.5L749.42,71.16L749.52,71.05L750.43,71.01L750.53,71.03L756.33,71.5L756.43,71.52L761,70.68L761.11,70.7L764.26,70.47L764.36,70.16L765.58,69.96L765.68,69.97L766.7,69.83L766.8,69.85L790.69,70.86L790.79,70.6L792.31,61.91L792.42,61.93L799.53,61.98L799.63,61.95L805.02,62.38L805.12,62.21L807.16,62.03L807.26,61.29L807.46,59.69L808.07,59.77L808.17,59.77L811.22,60.22L811.32,60.23L814.78,60.52L814.88,60.54L818.03,60.37L818.14,60.39L820.37,60.08L820.47,60.08L827.18,60.74L827.28,60.76L830.03,59.98L830.13,59.5L831.25,58.38L831.35,58.4L835.93,58.58L836.03,58.54L844.57,58.7L844.67,58.4L846.5,58.54L846.6,58.56L851.17,58.54L851.28,58.48L859.31,58.99L859.41,58.69L862.05,58.65L862.15,58.67L863.98,58.24L864.08,58.07L866.42,57.73L866.52,57.24L872.22,57.38L872.32,57.33L873.34,56.92L873.44,56.94L879.94,57.5L880.04,57.46L886.45,57.92L886.55,57.94L890.52,58.09L890.62,57.98L893.87,57.36L893.97,57.12L896.21,57.34L896.31,57.36L900.48,56.87L900.58,56.88L910.64,56.77L910.75,56.76L913.9,57.04L914,57.05L918.98,57.29L919.08,57.3L925.08,57.73L925.18,57.75L930.87,57.71L930.97,57.52L931.79,57.43L931.89,57.45L933.62,57L933.72,56.85L940.33,57.45L940.43,57.38L945.51,57.46L945.61,57.35L952.63,58.08L952.73,58.1L959.85,58.77L959.95,58.73L973.16,60.04L973.26,60.06L978.75,60.17L978.86,60.04L979.77,60.03L979.87,60.05L989.22,60.68L989.33,60.59L995.32,60.83L995.43,60.59L1000,60.82\" style=\"vector-effect: non-scaling-stroke; fill: none; stroke: rgb(239, 85, 59); stroke-opacity: 1; stroke-width: 2px; opacity: 1;\"/></g><g class=\"points\"/><g class=\"text\"/></g></g></g><g class=\"overplot\"/><path class=\"xlines-above crisp\" d=\"M0,0\" style=\"fill: none;\"/><path class=\"ylines-above crisp\" d=\"M0,0\" style=\"fill: none;\"/><g class=\"overlines-above\"/><g class=\"xaxislayer-above\"><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"733\" transform=\"translate(80,0)\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\">0</text></g><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"733\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(181.66,0)\">1k</text></g><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"733\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(283.31,0)\">2k</text></g><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"733\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(384.97,0)\">3k</text></g><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"733\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(486.63,0)\">4k</text></g><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"733\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(588.29,0)\">5k</text></g><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"733\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(689.94,0)\">6k</text></g><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"733\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(791.6,0)\">7k</text></g><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"733\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(893.26,0)\">8k</text></g><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"733\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(994.91,0)\">9k</text></g></g><g class=\"yaxislayer-above\"><g class=\"y2tick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" transform=\"translate(0,708.38)\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\">0</text></g><g class=\"y2tick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,649.89)\">0.1</text></g><g class=\"y2tick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,591.41)\">0.2</text></g><g class=\"y2tick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,532.93)\">0.3</text></g></g><g class=\"overaxes-above\"/></g></g><g class=\"polarlayer\"/><g class=\"ternarylayer\"/><g class=\"geolayer\"/><g class=\"funnelarealayer\"/><g class=\"pielayer\"/><g class=\"iciclelayer\"/><g class=\"treemaplayer\"/><g class=\"sunburstlayer\"/><g class=\"glimages\"/><defs id=\"topdefs-38ea28\"><g class=\"clips\"/><clipPath id=\"legend38ea28\"><rect width=\"88\" height=\"48\" x=\"0\" y=\"0\"/></clipPath></defs><g class=\"layer-above\"><g class=\"imagelayer\"/><g class=\"shapelayer\"/></g><g class=\"infolayer\"><g class=\"legend\" pointer-events=\"all\" transform=\"translate(1100,100)\"><rect class=\"bg\" shape-rendering=\"crispEdges\" style=\"stroke: rgb(68, 68, 68); stroke-opacity: 1; fill: rgb(255, 255, 255); fill-opacity: 1; stroke-width: 0px;\" width=\"88\" height=\"48\" x=\"0\" y=\"0\"/><g class=\"scrollbox\" transform=\"\" clip-path=\"url(#legend38ea28)\"><g class=\"groups\"><g class=\"traces\" transform=\"translate(0,14.5)\" style=\"opacity: 1;\"><text class=\"legendtext\" text-anchor=\"start\" x=\"40\" y=\"4.680000000000001\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre;\">trace 0</text><g class=\"layers\" style=\"opacity: 1;\"><g class=\"legendfill\"/><g class=\"legendlines\"><path class=\"js-line\" d=\"M5,0h30\" style=\"fill: none; stroke: rgb(99, 110, 250); stroke-opacity: 1; stroke-width: 2px;\"/></g><g class=\"legendsymbols\"><g class=\"legendpoints\"/></g></g><rect class=\"legendtoggle\" x=\"0\" y=\"-9.5\" width=\"82.46875\" height=\"19\" style=\"fill: rgb(0, 0, 0); fill-opacity: 0;\"/></g><g class=\"traces\" transform=\"translate(0,33.5)\" style=\"opacity: 1;\"><text class=\"legendtext\" text-anchor=\"start\" x=\"40\" y=\"4.680000000000001\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre;\">trace 1</text><g class=\"layers\" style=\"opacity: 1;\"><g class=\"legendfill\"/><g class=\"legendlines\"><path class=\"js-line\" d=\"M5,0h30\" style=\"fill: none; stroke: rgb(239, 85, 59); stroke-opacity: 1; stroke-width: 2px;\"/></g><g class=\"legendsymbols\"><g class=\"legendpoints\"/></g></g><rect class=\"legendtoggle\" x=\"0\" y=\"-9.5\" width=\"82.46875\" height=\"19\" style=\"fill: rgb(0, 0, 0); fill-opacity: 0;\"/></g></g></g><rect class=\"scrollbar\" rx=\"20\" ry=\"3\" width=\"0\" height=\"0\" style=\"fill: rgb(128, 139, 164); fill-opacity: 1;\" x=\"0\" y=\"0\"/></g><g class=\"g-gtitle\"><text class=\"gtitle\" x=\"60\" y=\"50\" text-anchor=\"start\" dy=\"0em\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 17px; fill: rgb(42, 63, 95); opacity: 1; font-weight: normal; white-space: pre;\">λ = 1, µ = 3</text></g><g class=\"g-xtitle\"/><g class=\"g-x2title\"/><g class=\"g-ytitle\"/><g class=\"g-y2title\"/><g class=\"annotation\" data-index=\"0\" style=\"opacity: 1;\"><g class=\"annotation-text-g\" transform=\"rotate(0,580,88.5)\"><g class=\"cursor-pointer\" transform=\"translate(497,77)\"><rect class=\"bg\" x=\"0.5\" y=\"0.5\" width=\"166\" height=\"22\" style=\"stroke-width: 1px; stroke: rgb(0, 0, 0); stroke-opacity: 0; fill: rgb(0, 0, 0); fill-opacity: 0;\"/><text class=\"annotation-text\" text-anchor=\"middle\" x=\"83.703125\" y=\"18\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 16px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre;\">Average Queue Size</text></g></g></g><g class=\"annotation\" data-index=\"1\" style=\"opacity: 1;\"><g class=\"annotation-text-g\" transform=\"rotate(0,580,476)\"><g class=\"cursor-pointer\" transform=\"translate(490,465)\"><rect class=\"bg\" x=\"0.5\" y=\"0.5\" width=\"180\" height=\"22\" style=\"stroke-width: 1px; stroke: rgb(0, 0, 0); stroke-opacity: 0; fill: rgb(0, 0, 0); fill-opacity: 0;\"/><text class=\"annotation-text\" text-anchor=\"middle\" x=\"90.78125\" y=\"18\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 16px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre;\">Average System Time</text></g></g></g></g></svg>"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_metrics_time_dependency(1, 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Average Queue Size = 0.005387273836145558\n",
      "Average System Time = 0.07210729083361113\n"
     ]
    },
    {
     "data": {
      "image/svg+xml": "<svg class=\"main-svg\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"1200\" height=\"800\" style=\"\" viewBox=\"0 0 1200 800\"><rect x=\"0\" y=\"0\" width=\"1200\" height=\"800\" style=\"fill: rgb(255, 255, 255); fill-opacity: 1;\"/><defs id=\"defs-7c14ed\"><g class=\"clips\"><clipPath id=\"clip7c14edxyplot\" class=\"plotclip\"><rect width=\"1000\" height=\"232.5\"/></clipPath><clipPath id=\"clip7c14edx2y2plot\" class=\"plotclip\"><rect width=\"1000\" height=\"232.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip7c14edx\"><rect x=\"80\" y=\"0\" width=\"1000\" height=\"800\"/></clipPath><clipPath class=\"axesclip\" id=\"clip7c14edy\"><rect x=\"0\" y=\"100\" width=\"1200\" height=\"232.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip7c14edxy\"><rect x=\"80\" y=\"100\" width=\"1000\" height=\"232.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip7c14edy2\"><rect x=\"0\" y=\"487.5\" width=\"1200\" height=\"232.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip7c14edxy2\"><rect x=\"80\" y=\"487.5\" width=\"1000\" height=\"232.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip7c14edx2\"><rect x=\"80\" y=\"0\" width=\"1000\" height=\"800\"/></clipPath><clipPath class=\"axesclip\" id=\"clip7c14edx2y\"><rect x=\"80\" y=\"100\" width=\"1000\" height=\"232.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip7c14edx2y2\"><rect x=\"80\" y=\"487.5\" width=\"1000\" height=\"232.5\"/></clipPath></g><g class=\"gradients\"/><g class=\"patterns\"/></defs><g class=\"bglayer\"><rect class=\"bg\" x=\"80\" y=\"100\" width=\"1000\" height=\"232.5\" style=\"fill: rgb(229, 236, 246); fill-opacity: 1; stroke-width: 0;\"/><rect class=\"bg\" x=\"80\" y=\"487.5\" width=\"1000\" height=\"232.5\" style=\"fill: rgb(229, 236, 246); fill-opacity: 1; stroke-width: 0;\"/></g><g class=\"layer-below\"><g class=\"imagelayer\"/><g class=\"shapelayer\"/></g><g class=\"cartesianlayer\"><g class=\"subplot xy\"><g class=\"layer-subplot\"><g class=\"shapelayer\"/><g class=\"imagelayer\"/></g><g class=\"gridlayer\"><g class=\"x\"><path class=\"xgrid crisp\" transform=\"translate(181.66,0)\" d=\"M0,100v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xgrid crisp\" transform=\"translate(283.31,0)\" d=\"M0,100v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xgrid crisp\" transform=\"translate(384.97,0)\" d=\"M0,100v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xgrid crisp\" transform=\"translate(486.63,0)\" d=\"M0,100v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xgrid crisp\" transform=\"translate(588.29,0)\" d=\"M0,100v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xgrid crisp\" transform=\"translate(689.94,0)\" d=\"M0,100v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xgrid crisp\" transform=\"translate(791.6,0)\" d=\"M0,100v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xgrid crisp\" transform=\"translate(893.26,0)\" d=\"M0,100v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xgrid crisp\" transform=\"translate(994.91,0)\" d=\"M0,100v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/></g><g class=\"y\"><path class=\"ygrid crisp\" transform=\"translate(0,260.89)\" d=\"M80,0h1000\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"ygrid crisp\" transform=\"translate(0,200.9)\" d=\"M80,0h1000\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"ygrid crisp\" transform=\"translate(0,140.92000000000002)\" d=\"M80,0h1000\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/></g></g><g class=\"zerolinelayer\"><path class=\"xzl zl crisp\" transform=\"translate(80,0)\" d=\"M0,100v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 2px;\"/><path class=\"yzl zl crisp\" transform=\"translate(0,320.87)\" d=\"M80,0h1000\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 2px;\"/></g><path class=\"xlines-below\"/><path class=\"ylines-below\"/><g class=\"overlines-below\"/><g class=\"xaxislayer-below\"/><g class=\"yaxislayer-below\"/><g class=\"overaxes-below\"/><g class=\"plot\" transform=\"translate(80,100)\" clip-path=\"url(#clip7c14edxyplot)\"><g class=\"scatterlayer mlayer\"><g class=\"trace scatter traceb0f3d3\" style=\"stroke-miterlimit: 2; opacity: 1;\"><g class=\"fills\"/><g class=\"errorbars\"/><g class=\"lines\"><path class=\"js-line\" d=\"M0,220.87L13.83,220.87L13.93,133.94L17.38,151.12L17.49,151.53L21.45,164.29L21.55,164.55L22.16,166.09L22.26,111.81L24.5,121.73L24.6,72.76L26.63,84.03L26.74,39.1L31.31,65.57L31.41,66.07L34.16,78.48L34.26,43.4L34.77,45.99L34.87,11.62L40.05,38.64L40.15,39.1L43.1,51.51L43.2,23.74L51.34,54.91L51.44,55.24L58.25,74.57L58.35,74.82L64.45,88.62L64.55,88.83L67.3,94.21L67.4,76.33L71.16,83.96L71.26,67.07L75.84,76.33L75.94,60.49L84.38,76.51L84.48,76.68L93.52,90.61L93.63,90.76L102.98,102.56L103.08,102.68L113.45,113.47L113.55,113.57L121.58,120.65L121.68,110.72L122.6,111.54L122.7,101.7L132.87,110.81L132.97,110.89L139.78,116.25L139.88,107.61L148.32,114.05L148.42,105.91L160.01,114.23L160.11,114.3L171.6,121.43L171.7,121.49L172.72,122.08L172.82,115.08L184.41,121.73L184.51,121.78L200.06,129.48L200.16,129.53L203.21,130.9L203.31,124.95L228.42,135.49L228.52,130.19L256.28,140.01L256.38,140.04L265.22,142.73L265.32,138.17L275.8,141.31L275.9,136.92L285.05,139.61L285.15,135.37L293.69,137.85L293.79,133.73L321.13,141.15L321.24,141.17L352.95,148.33L353.05,148.35L357.93,149.34L358.04,145.96L367.19,147.82L367.29,144.52L382.74,147.61L382.84,147.63L405.41,151.7L405.51,148.71L409.98,149.5L410.08,146.54L443.33,152.12L443.43,152.13L455.32,153.93L455.42,151.27L470.37,153.48L470.47,148.31L474.33,148.9L474.43,146.34L485.01,147.97L485.11,145.47L510.62,149.24L510.72,146.86L545.19,151.54L545.29,147.08L547.83,147.42L547.93,145.21L584.63,149.96L584.73,149.97L607.5,152.63L607.6,152.64L608.52,152.74L608.62,150.75L620.62,152.11L620.72,150.15L626.41,150.8L626.51,146.92L643.29,148.84L643.39,146.96L648.98,147.6L649.08,145.73L675.41,148.66L675.51,146.86L679.58,147.31L679.68,143.73L744.84,150.48L744.94,148.85L764.46,150.69L764.56,149.1L777.27,150.28L777.37,148.72L777.78,148.76L777.88,147.2L793.33,148.63L793.43,147.1L864.29,153.15L864.39,151.75L891.63,153.86L891.74,153.87L893.57,154.01L893.67,152.65L925.28,154.98L925.38,154.99L926.3,155.05L926.4,153.74L952.12,155.56L952.22,155.56L961.47,156.19L961.57,154.93L976.42,155.93L976.52,154.69L1000,156.24\" style=\"vector-effect: non-scaling-stroke; fill: none; stroke: rgb(99, 110, 250); stroke-opacity: 1; stroke-width: 2px; opacity: 1;\"/></g><g class=\"points\"/><g class=\"text\"/></g></g></g><g class=\"overplot\"/><path class=\"xlines-above crisp\" d=\"M0,0\" style=\"fill: none;\"/><path class=\"ylines-above crisp\" d=\"M0,0\" style=\"fill: none;\"/><g class=\"overlines-above\"/><g class=\"xaxislayer-above\"><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"345.5\" transform=\"translate(80,0)\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\">0</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"345.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(181.66,0)\">1k</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"345.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(283.31,0)\">2k</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"345.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(384.97,0)\">3k</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"345.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(486.63,0)\">4k</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"345.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(588.29,0)\">5k</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"345.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(689.94,0)\">6k</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"345.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(791.6,0)\">7k</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"345.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(893.26,0)\">8k</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"345.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(994.91,0)\">9k</text></g></g><g class=\"yaxislayer-above\"><g class=\"ytick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" transform=\"translate(0,320.87)\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\">0</text></g><g class=\"ytick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,260.89)\">0.005</text></g><g class=\"ytick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,200.9)\">0.01</text></g><g class=\"ytick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,140.92000000000002)\">0.015</text></g></g><g class=\"overaxes-above\"/></g><g class=\"subplot x2y2\"><g class=\"layer-subplot\"><g class=\"shapelayer\"/><g class=\"imagelayer\"/></g><g class=\"gridlayer\"><g class=\"x2\"><path class=\"x2grid crisp\" transform=\"translate(181.66,0)\" d=\"M0,487.5v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x2grid crisp\" transform=\"translate(283.31,0)\" d=\"M0,487.5v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x2grid crisp\" transform=\"translate(384.97,0)\" d=\"M0,487.5v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x2grid crisp\" transform=\"translate(486.63,0)\" d=\"M0,487.5v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x2grid crisp\" transform=\"translate(588.29,0)\" d=\"M0,487.5v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x2grid crisp\" transform=\"translate(689.94,0)\" d=\"M0,487.5v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x2grid crisp\" transform=\"translate(791.6,0)\" d=\"M0,487.5v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x2grid crisp\" transform=\"translate(893.26,0)\" d=\"M0,487.5v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x2grid crisp\" transform=\"translate(994.91,0)\" d=\"M0,487.5v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/></g><g class=\"y2\"><path class=\"y2grid crisp\" transform=\"translate(0,643.46)\" d=\"M80,0h1000\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"y2grid crisp\" transform=\"translate(0,578.54)\" d=\"M80,0h1000\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"y2grid crisp\" transform=\"translate(0,513.63)\" d=\"M80,0h1000\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/></g></g><g class=\"zerolinelayer\"><path class=\"x2zl zl crisp\" transform=\"translate(80,0)\" d=\"M0,487.5v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 2px;\"/><path class=\"y2zl zl crisp\" transform=\"translate(0,708.38)\" d=\"M80,0h1000\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 2px;\"/></g><path class=\"xlines-below\"/><path class=\"ylines-below\"/><g class=\"overlines-below\"/><g class=\"xaxislayer-below\"/><g class=\"yaxislayer-below\"/><g class=\"overaxes-below\"/><g class=\"plot\" transform=\"translate(80,487.5)\" clip-path=\"url(#clip7c14edx2y2plot)\"><g class=\"scatterlayer mlayer\"><g class=\"trace scatter traceeaa93b\" style=\"stroke-miterlimit: 2; opacity: 1;\"><g class=\"fills\"/><g class=\"errorbars\"/><g class=\"lines\"><path class=\"js-line\" d=\"M0,220.88L0.2,220.88L0.3,41.13L1.02,155.51L1.12,11.63L2.03,101.3L2.13,57.25L2.24,64.36L3.76,126.14L3.86,64.23L6,119.06L6.1,120.73L8.64,149.84L8.74,150.66L10.78,163.78L10.88,159.94L13.83,172.84L13.93,131.64L14.03,121.44L14.64,125.55L14.74,126.21L16.67,133.74L16.77,134.27L19.01,141.33L19.11,141.75L19.92,144.97L20.03,141.52L22.16,149.13L22.26,140.44L22.67,141.87L22.77,139.2L24.5,143.14L24.6,128.79L26.63,135.8L26.74,117.55L31.51,133.17L31.62,133.45L33.14,137.46L33.24,132.2L34.16,134.12L34.26,127.31L34.77,128.67L34.87,108.49L38.12,118.05L38.22,116.32L41.17,123.48L41.27,121L43.1,124.86L43.2,118.13L48.19,128.73L48.29,128.64L48.39,126.25L51.54,131.26L51.64,129.14L54.08,132.15L54.18,131.6L55.61,133.5L55.71,131.18L57.33,133.28L57.44,131.57L58.15,132.66L58.25,130.68L65.37,140.05L65.47,140.17L65.77,140.55L65.87,138.59L68.31,141.2L68.42,139.65L71.16,142.65L71.26,139.24L73.19,141.1L73.29,138.38L75.84,141.15L75.94,134.06L78.99,136.72L79.09,133.97L83.66,138.16L83.77,134.74L87.22,138.13L87.32,136.59L91.59,140.52L91.69,139.45L92.51,140.17L92.61,139L94.24,140.07L94.34,139.43L98,142.21L98.1,141.62L101.05,143.54L101.15,139.62L106.94,143.3L107.04,143.37L111.31,145.51L111.42,145.58L112.13,145.63L112.23,145.7L112.33,145.77L120.87,150.96L120.97,150.89L121.58,151.24L121.68,147.87L122.6,148.41L122.7,146.21L125.14,147.47L125.24,146.79L133.48,150.86L133.58,150.91L138.46,152.76L138.56,152.16L139.78,152.62L139.88,149.06L146.28,151.43L146.39,151.48L148.32,151.85L148.42,149.95L152.59,151.35L152.69,150.87L156.96,152.38L157.06,151.75L157.26,151.84L157.37,150.35L163.26,152.53L163.36,151.86L167.43,152.76L167.53,152.05L172.72,153.94L172.82,153.21L180.14,155.62L180.24,155.15L186.34,157.18L186.44,156.53L187.25,156.27L187.35,156.3L187.46,154.26L188.17,154.51L188.27,154.54L190.51,154.63L190.61,154.66L194.47,155.24L194.57,154.9L199.35,156.42L199.45,155.48L203.21,156.54L203.31,155.42L208.8,156.82L208.91,156.08L210.63,156.47L210.73,155.84L219.48,157.92L219.58,157.33L224.76,158.59L224.87,157.59L228.42,158.36L228.52,157.52L240.42,160.16L240.52,159.98L241.74,160.28L241.84,159.51L246.11,160.24L246.21,159.81L249.87,160.31L249.97,159.95L252.62,160.5L252.72,159.6L254.55,159.41L254.65,158.24L258.11,158.49L258.21,158.34L265.22,159.38L265.32,158.67L266.14,158.7L266.24,158.72L270.41,158.99L270.51,159.01L273.46,159.06L273.56,158.94L275.8,159.18L275.9,158.21L281.79,158.86L281.89,158.33L285.05,158.57L285.15,157.99L289.21,158.83L289.32,157.69L292.87,157.94L292.98,157.35L293.69,157.19L293.79,154.72L301.41,156.25L301.51,155.61L303.55,155.97L303.65,155.99L305.99,156.13L306.09,155.62L316.66,156.99L316.76,156.47L318.39,156.37L318.49,155.12L324.08,155.66L324.18,154.93L331.61,155.7L331.71,155.3L339.53,156.13L339.64,155.57L345.02,156.37L345.13,155.88L346.55,156.14L346.65,154.55L351.22,154.75L351.33,154.69L351.73,154.76L351.83,153.81L357.93,154.56L358.04,153.96L363.12,154.61L363.22,154.17L365.76,153.92L365.86,153.93L367.19,154.12L367.29,151.2L369.93,151.56L370.03,151.58L385.79,153.97L385.89,153.98L392.6,155.02L392.7,154.37L395.45,154.28L395.55,153.51L401.24,153.74L401.34,153.13L404.59,152.99L404.7,153L406.73,152.82L406.83,152.61L407.85,152.22L407.95,152.24L411.61,152.26L411.71,152.04L430.62,153.54L430.72,153.41L444.44,154.73L444.55,154.53L450.34,154.71L450.44,154.54L453.7,154.27L453.8,154.21L457.35,154.12L457.46,153.94L458.37,153.41L458.47,153.42L464.47,154.08L464.57,153.22L470.37,153.83L470.47,152.39L474.33,152.55L474.43,151.62L476.47,151.35L476.57,150.94L477.58,150.83L477.69,150.84L486.84,151.6L486.94,150.82L488.16,150.8L488.26,150.82L493.04,150.93L493.14,150.65L510.22,152.46L510.32,152.47L512.15,152.13L512.25,151.74L514.28,151.29L514.38,151.19L522.11,151.83L522.21,151.5L525.77,151.26L525.87,151.27L530.24,151.28L530.34,151.09L539.09,151.62L539.19,151.59L545.19,152.11L545.29,151.47L553.73,151.98L553.83,151.99L559.83,152.34L559.93,151.99L587.58,154.35L587.68,153.89L591.44,153.89L591.54,153.9L597.44,153.82L597.54,153.61L608.21,154.02L608.32,153.79L610.65,153.36L610.76,153.27L626.41,154.22L626.51,154.06L631.7,153.98L631.8,153.77L643.29,154.3L643.39,154.18L648.98,154.09L649.08,153.59L651.82,153.31L651.93,153.12L658.33,153.19L658.43,153.02L667.17,152.93L667.28,152.94L671.85,153.04L671.95,152.8L675.41,152.49L675.51,152.19L679.58,152.48L679.68,151.64L683.14,151.67L683.24,151.26L693.71,151.7L693.81,151.22L700.01,151.17L700.11,151.08L703.57,150.78L703.67,150.65L712.41,150.78L712.51,150.76L718.21,150.75L718.31,150.49L719.12,150.3L719.22,150.31L721.46,149.95L721.56,149.62L738.54,150.78L738.64,150.48L744.84,150.75L744.94,150.03L752.97,150.06L753.08,150L757.55,149.86L757.65,149.63L765.88,149.71L765.99,149.71L777.78,150.18L777.88,149.58L786.62,149.73L786.72,149.63L797.6,149.94L797.7,149.89L809.09,150.23L809.19,150.23L818.34,150.48L818.44,150.34L830.13,151.09L830.23,151.1L851.17,151.67L851.28,151.35L860.63,151.54L860.73,151.51L866.32,151.49L866.42,151.24L871.61,151.3L871.71,150.71L874.96,150.8L875.06,150.81L890.82,151.65L890.92,151.31L900.07,151.69L900.17,151.42L912.47,151.95L912.57,151.83L926.3,152.49L926.4,152.35L955.27,153.26L955.37,153L967.27,152.89L967.37,152.8L987.29,153.16L987.39,152.9L994.61,152.56L994.71,152.51L1000,152.38\" style=\"vector-effect: non-scaling-stroke; fill: none; stroke: rgb(239, 85, 59); stroke-opacity: 1; stroke-width: 2px; opacity: 1;\"/></g><g class=\"points\"/><g class=\"text\"/></g></g></g><g class=\"overplot\"/><path class=\"xlines-above crisp\" d=\"M0,0\" style=\"fill: none;\"/><path class=\"ylines-above crisp\" d=\"M0,0\" style=\"fill: none;\"/><g class=\"overlines-above\"/><g class=\"xaxislayer-above\"><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"733\" transform=\"translate(80,0)\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\">0</text></g><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"733\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(181.66,0)\">1k</text></g><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"733\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(283.31,0)\">2k</text></g><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"733\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(384.97,0)\">3k</text></g><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"733\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(486.63,0)\">4k</text></g><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"733\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(588.29,0)\">5k</text></g><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"733\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(689.94,0)\">6k</text></g><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"733\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(791.6,0)\">7k</text></g><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"733\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(893.26,0)\">8k</text></g><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"733\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(994.91,0)\">9k</text></g></g><g class=\"yaxislayer-above\"><g class=\"y2tick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" transform=\"translate(0,708.38)\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\">0</text></g><g class=\"y2tick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,643.46)\">0.005</text></g><g class=\"y2tick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,578.54)\">0.01</text></g><g class=\"y2tick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,513.63)\">0.015</text></g></g><g class=\"overaxes-above\"/></g></g><g class=\"polarlayer\"/><g class=\"ternarylayer\"/><g class=\"geolayer\"/><g class=\"funnelarealayer\"/><g class=\"pielayer\"/><g class=\"iciclelayer\"/><g class=\"treemaplayer\"/><g class=\"sunburstlayer\"/><g class=\"glimages\"/><defs id=\"topdefs-7c14ed\"><g class=\"clips\"/><clipPath id=\"legend7c14ed\"><rect width=\"88\" height=\"48\" x=\"0\" y=\"0\"/></clipPath></defs><g class=\"layer-above\"><g class=\"imagelayer\"/><g class=\"shapelayer\"/></g><g class=\"infolayer\"><g class=\"legend\" pointer-events=\"all\" transform=\"translate(1100,100)\"><rect class=\"bg\" shape-rendering=\"crispEdges\" width=\"88\" height=\"48\" x=\"0\" y=\"0\" style=\"stroke: rgb(68, 68, 68); stroke-opacity: 1; fill: rgb(255, 255, 255); fill-opacity: 1; stroke-width: 0px;\"/><g class=\"scrollbox\" transform=\"\" clip-path=\"url(#legend7c14ed)\"><g class=\"groups\"><g class=\"traces\" transform=\"translate(0,14.5)\" style=\"opacity: 1;\"><text class=\"legendtext\" text-anchor=\"start\" x=\"40\" y=\"4.680000000000001\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre;\">trace 0</text><g class=\"layers\" style=\"opacity: 1;\"><g class=\"legendfill\"/><g class=\"legendlines\"><path class=\"js-line\" d=\"M5,0h30\" style=\"fill: none; stroke: rgb(99, 110, 250); stroke-opacity: 1; stroke-width: 2px;\"/></g><g class=\"legendsymbols\"><g class=\"legendpoints\"/></g></g><rect class=\"legendtoggle\" x=\"0\" y=\"-9.5\" width=\"82.46875\" height=\"19\" style=\"fill: rgb(0, 0, 0); fill-opacity: 0;\"/></g><g class=\"traces\" transform=\"translate(0,33.5)\" style=\"opacity: 1;\"><text class=\"legendtext\" text-anchor=\"start\" x=\"40\" y=\"4.680000000000001\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre;\">trace 1</text><g class=\"layers\" style=\"opacity: 1;\"><g class=\"legendfill\"/><g class=\"legendlines\"><path class=\"js-line\" d=\"M5,0h30\" style=\"fill: none; stroke: rgb(239, 85, 59); stroke-opacity: 1; stroke-width: 2px;\"/></g><g class=\"legendsymbols\"><g class=\"legendpoints\"/></g></g><rect class=\"legendtoggle\" x=\"0\" y=\"-9.5\" width=\"82.46875\" height=\"19\" style=\"fill: rgb(0, 0, 0); fill-opacity: 0;\"/></g></g></g><rect class=\"scrollbar\" rx=\"20\" ry=\"3\" width=\"0\" height=\"0\" x=\"0\" y=\"0\" style=\"fill: rgb(128, 139, 164); fill-opacity: 1;\"/></g><g class=\"g-gtitle\"><text class=\"gtitle\" x=\"60\" y=\"50\" text-anchor=\"start\" dy=\"0em\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 17px; fill: rgb(42, 63, 95); opacity: 1; font-weight: normal; white-space: pre;\">λ = 14, µ = 15</text></g><g class=\"g-xtitle\"/><g class=\"g-x2title\"/><g class=\"g-ytitle\"/><g class=\"g-y2title\"/><g class=\"annotation\" data-index=\"0\" style=\"opacity: 1;\"><g class=\"annotation-text-g\" transform=\"rotate(0,580,88.5)\"><g class=\"cursor-pointer\" transform=\"translate(497,77)\"><rect class=\"bg\" x=\"0.5\" y=\"0.5\" width=\"166\" height=\"22\" style=\"stroke-width: 1px; stroke: rgb(0, 0, 0); stroke-opacity: 0; fill: rgb(0, 0, 0); fill-opacity: 0;\"/><text class=\"annotation-text\" text-anchor=\"middle\" x=\"83.703125\" y=\"18\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 16px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre;\">Average Queue Size</text></g></g></g><g class=\"annotation\" data-index=\"1\" style=\"opacity: 1;\"><g class=\"annotation-text-g\" transform=\"rotate(0,580,476)\"><g class=\"cursor-pointer\" transform=\"translate(490,465)\"><rect class=\"bg\" x=\"0.5\" y=\"0.5\" width=\"180\" height=\"22\" style=\"stroke-width: 1px; stroke: rgb(0, 0, 0); stroke-opacity: 0; fill: rgb(0, 0, 0); fill-opacity: 0;\"/><text class=\"annotation-text\" text-anchor=\"middle\" x=\"90.78125\" y=\"18\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 16px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre;\">Average System Time</text></g></g></g></g></svg>"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_metrics_time_dependency(14, 15)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Average Queue Size = 109.5075561741897\n",
      "Average System Time = 111.1405545403654\n"
     ]
    },
    {
     "data": {
      "image/svg+xml": "<svg class=\"main-svg\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"1200\" height=\"800\" style=\"\" viewBox=\"0 0 1200 800\"><rect x=\"0\" y=\"0\" width=\"1200\" height=\"800\" style=\"fill: rgb(255, 255, 255); fill-opacity: 1;\"/><defs id=\"defs-a98c2a\"><g class=\"clips\"><clipPath id=\"clipa98c2axyplot\" class=\"plotclip\"><rect width=\"1000\" height=\"232.5\"/></clipPath><clipPath id=\"clipa98c2ax2y2plot\" class=\"plotclip\"><rect width=\"1000\" height=\"232.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clipa98c2ax\"><rect x=\"80\" y=\"0\" width=\"1000\" height=\"800\"/></clipPath><clipPath class=\"axesclip\" id=\"clipa98c2ay\"><rect x=\"0\" y=\"100\" width=\"1200\" height=\"232.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clipa98c2axy\"><rect x=\"80\" y=\"100\" width=\"1000\" height=\"232.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clipa98c2ay2\"><rect x=\"0\" y=\"487.5\" width=\"1200\" height=\"232.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clipa98c2axy2\"><rect x=\"80\" y=\"487.5\" width=\"1000\" height=\"232.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clipa98c2ax2\"><rect x=\"80\" y=\"0\" width=\"1000\" height=\"800\"/></clipPath><clipPath class=\"axesclip\" id=\"clipa98c2ax2y\"><rect x=\"80\" y=\"100\" width=\"1000\" height=\"232.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clipa98c2ax2y2\"><rect x=\"80\" y=\"487.5\" width=\"1000\" height=\"232.5\"/></clipPath></g><g class=\"gradients\"/><g class=\"patterns\"/></defs><g class=\"bglayer\"><rect class=\"bg\" x=\"80\" y=\"100\" width=\"1000\" height=\"232.5\" style=\"fill: rgb(229, 236, 246); fill-opacity: 1; stroke-width: 0;\"/><rect class=\"bg\" x=\"80\" y=\"487.5\" width=\"1000\" height=\"232.5\" style=\"fill: rgb(229, 236, 246); fill-opacity: 1; stroke-width: 0;\"/></g><g class=\"layer-below\"><g class=\"imagelayer\"/><g class=\"shapelayer\"/></g><g class=\"cartesianlayer\"><g class=\"subplot xy\"><g class=\"layer-subplot\"><g class=\"shapelayer\"/><g class=\"imagelayer\"/></g><g class=\"gridlayer\"><g class=\"x\"><path class=\"xgrid crisp\" transform=\"translate(278.87,0)\" d=\"M0,100v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xgrid crisp\" transform=\"translate(477.73,0)\" d=\"M0,100v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xgrid crisp\" transform=\"translate(676.6,0)\" d=\"M0,100v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xgrid crisp\" transform=\"translate(875.47,0)\" d=\"M0,100v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xgrid crisp\" transform=\"translate(1074.33,0)\" d=\"M0,100v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/></g><g class=\"y\"><path class=\"ygrid crisp\" transform=\"translate(0,282.88)\" d=\"M80,0h1000\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"ygrid crisp\" transform=\"translate(0,244.89)\" d=\"M80,0h1000\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"ygrid crisp\" transform=\"translate(0,206.9)\" d=\"M80,0h1000\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"ygrid crisp\" transform=\"translate(0,168.9)\" d=\"M80,0h1000\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"ygrid crisp\" transform=\"translate(0,130.91)\" d=\"M80,0h1000\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/></g></g><g class=\"zerolinelayer\"><path class=\"xzl zl crisp\" transform=\"translate(80,0)\" d=\"M0,100v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 2px;\"/><path class=\"yzl zl crisp\" transform=\"translate(0,320.88)\" d=\"M80,0h1000\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 2px;\"/></g><path class=\"xlines-below\"/><path class=\"ylines-below\"/><g class=\"overlines-below\"/><g class=\"xaxislayer-below\"/><g class=\"yaxislayer-below\"/><g class=\"overaxes-below\"/><g class=\"plot\" transform=\"translate(80,100)\" clip-path=\"url(#clipa98c2axyplot)\"><g class=\"scatterlayer mlayer\"><g class=\"trace scatter trace614276\" style=\"stroke-miterlimit: 2; opacity: 1;\"><g class=\"fills\"/><g class=\"errorbars\"/><g class=\"lines\"><path class=\"js-line\" d=\"M0,220.88L0.8,220.24L0.89,219.93L2.68,219.52L2.78,219.5L3.98,219.3L4.08,219.25L9.25,216.19L9.35,216.04L13.03,209.22L13.13,209.03L16.9,202.58L17,202.46L18.49,202.03L18.59,202.07L23.27,203.16L23.37,203.14L27.94,201.77L28.04,201.8L31.42,202.36L31.52,202.37L34.3,202.05L34.4,202.03L38.28,202.01L38.38,202.01L43.55,200.75L43.65,200.72L46.24,200.44L46.34,200.46L51.9,201.74L52,201.78L59.36,203.57L59.46,203.58L64.53,204.56L64.63,204.59L76.36,206.75L76.46,206.76L86.11,207.93L86.21,207.94L100.92,208.76L101.02,208.74L105.5,207.31L105.6,207.28L131.75,200.19L131.85,200.19L137.12,199.45L137.22,199.43L144.38,198.41L144.48,198.41L158.4,199.05L158.5,199.05L164.26,198.61L164.36,198.59L204.24,197.16L204.34,197.17L212.49,197.28L212.59,197.27L228.4,197.98L228.5,197.99L242.62,198.66L242.72,198.65L250.37,198.63L250.47,198.63L262.9,197.28L263,197.26L286.37,191.92L286.47,191.89L295.71,190.35L295.81,190.34L301.88,189.88L301.98,189.88L316.79,189.13L316.89,189.12L347.82,188.3L347.92,188.3L363.53,187.55L363.63,187.54L370.49,187.59L370.59,187.6L384.21,187.56L384.31,187.55L391.87,186.81L391.97,186.79L399.32,185.63L399.42,185.62L414.04,182.68L414.14,182.66L422.39,180.67L422.49,180.64L440.89,175.28L440.99,175.24L465.94,164.71L466.04,164.66L488.61,153.1L488.71,153.05L557.22,119.57L557.32,119.53L628.62,88.07L628.72,88.04L658.94,79.75L659.04,79.73L692.65,72.09L692.75,72.08L713.33,69.74L713.43,69.74L743.66,67.55L743.76,67.53L758.18,64.61L758.28,64.58L806.8,53.19L806.9,53.17L852.64,41.14L852.74,41.11L873.22,35.7L873.32,35.68L901.76,29.23L901.86,29.2L937.26,19.36L937.36,19.34L959.43,15.67L959.53,15.66L988.86,11.64L988.96,11.64L997.51,12.38L997.61,12.4L1000,12.85\" style=\"vector-effect: non-scaling-stroke; fill: none; stroke: rgb(99, 110, 250); stroke-opacity: 1; stroke-width: 2px; opacity: 1;\"/></g><g class=\"points\"/><g class=\"text\"/></g></g></g><g class=\"overplot\"/><path class=\"xlines-above crisp\" d=\"M0,0\" style=\"fill: none;\"/><path class=\"ylines-above crisp\" d=\"M0,0\" style=\"fill: none;\"/><g class=\"overlines-above\"/><g class=\"xaxislayer-above\"><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"345.5\" transform=\"translate(80,0)\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\">0</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"345.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(278.87,0)\">2k</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"345.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(477.73,0)\">4k</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"345.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(676.6,0)\">6k</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"345.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(875.47,0)\">8k</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"345.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(1074.33,0)\">10k</text></g></g><g class=\"yaxislayer-above\"><g class=\"ytick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" transform=\"translate(0,320.88)\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\">0</text></g><g class=\"ytick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,282.88)\">20</text></g><g class=\"ytick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,244.89)\">40</text></g><g class=\"ytick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,206.9)\">60</text></g><g class=\"ytick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,168.9)\">80</text></g><g class=\"ytick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,130.91)\">100</text></g></g><g class=\"overaxes-above\"/></g><g class=\"subplot x2y2\"><g class=\"layer-subplot\"><g class=\"shapelayer\"/><g class=\"imagelayer\"/></g><g class=\"gridlayer\"><g class=\"x2\"><path class=\"x2grid crisp\" transform=\"translate(278.87,0)\" d=\"M0,487.5v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x2grid crisp\" transform=\"translate(477.73,0)\" d=\"M0,487.5v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x2grid crisp\" transform=\"translate(676.6,0)\" d=\"M0,487.5v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x2grid crisp\" transform=\"translate(875.47,0)\" d=\"M0,487.5v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x2grid crisp\" transform=\"translate(1074.33,0)\" d=\"M0,487.5v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/></g><g class=\"y2\"><path class=\"y2grid crisp\" transform=\"translate(0,664.44)\" d=\"M80,0h1000\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"y2grid crisp\" transform=\"translate(0,620.51)\" d=\"M80,0h1000\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"y2grid crisp\" transform=\"translate(0,576.5699999999999)\" d=\"M80,0h1000\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"y2grid crisp\" transform=\"translate(0,532.64)\" d=\"M80,0h1000\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"y2grid crisp\" transform=\"translate(0,488.71)\" d=\"M80,0h1000\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/></g></g><g class=\"zerolinelayer\"><path class=\"x2zl zl crisp\" transform=\"translate(80,0)\" d=\"M0,487.5v232.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 2px;\"/><path class=\"y2zl zl crisp\" transform=\"translate(0,708.38)\" d=\"M80,0h1000\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 2px;\"/></g><path class=\"xlines-below\"/><path class=\"ylines-below\"/><g class=\"overlines-below\"/><g class=\"xaxislayer-below\"/><g class=\"yaxislayer-below\"/><g class=\"overaxes-below\"/><g class=\"plot\" transform=\"translate(80,487.5)\" clip-path=\"url(#clipa98c2ax2y2plot)\"><g class=\"scatterlayer mlayer\"><g class=\"trace scatter trace66c131\" style=\"stroke-miterlimit: 2; opacity: 1;\"><g class=\"fills\"/><g class=\"errorbars\"/><g class=\"lines\"><path class=\"js-line\" d=\"M0,220.88L11.24,220.15L11.34,220.12L17.5,218.62L17.6,218.61L64.33,219.36L64.43,219.37L116.04,219.08L116.14,219.07L149.85,217.93L149.95,217.93L165.26,217.99L165.36,217.99L180.67,217.97L180.77,217.98L272.45,217.48L272.55,217.47L312.92,215.52L313.02,215.52L397.24,214.77L397.34,214.76L420.5,212.81L420.6,212.8L445.86,208.37L445.96,208.34L462.27,202.76L462.36,202.71L494.08,186.27L494.18,186.21L537.64,161.8L537.73,161.74L589.14,131.46L589.24,131.41L603.26,122.93L603.36,122.86L629.81,106.56L629.91,106.51L642.74,101.49L642.84,101.46L655.46,98.26L655.56,98.23L682.51,92.08L682.61,92.05L692.75,90.28L692.85,90.27L712.34,89.07L712.44,89.08L746.84,88.99L746.94,88.98L758.28,87.11L758.38,87.08L766.73,84.66L766.83,84.62L789,78.62L789.1,78.6L817.74,70.67L817.84,70.64L845.58,60.38L845.68,60.34L868.55,50.87L868.65,50.83L884.56,45.87L884.66,45.86L897.68,42.51L897.78,42.47L909.22,37.68L909.32,37.63L920.65,31.72L920.75,31.66L931.99,26.32L932.09,26.28L944.91,21.92L945.01,21.89L967.39,16.82L967.49,16.81L994.23,11.64L994.33,11.64L999.9,12.09L1000,12.11\" style=\"vector-effect: non-scaling-stroke; fill: none; stroke: rgb(239, 85, 59); stroke-opacity: 1; stroke-width: 2px; opacity: 1;\"/></g><g class=\"points\"/><g class=\"text\"/></g></g></g><g class=\"overplot\"/><path class=\"xlines-above crisp\" d=\"M0,0\" style=\"fill: none;\"/><path class=\"ylines-above crisp\" d=\"M0,0\" style=\"fill: none;\"/><g class=\"overlines-above\"/><g class=\"xaxislayer-above\"><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"733\" transform=\"translate(80,0)\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\">0</text></g><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"733\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(278.87,0)\">2k</text></g><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"733\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(477.73,0)\">4k</text></g><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"733\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(676.6,0)\">6k</text></g><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"733\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(875.47,0)\">8k</text></g><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"733\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(1074.33,0)\">10k</text></g></g><g class=\"yaxislayer-above\"><g class=\"y2tick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" transform=\"translate(0,708.38)\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\">0</text></g><g class=\"y2tick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,664.44)\">2k</text></g><g class=\"y2tick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,620.51)\">4k</text></g><g class=\"y2tick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,576.5699999999999)\">6k</text></g><g class=\"y2tick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,532.64)\">8k</text></g><g class=\"y2tick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,488.71)\">10k</text></g></g><g class=\"overaxes-above\"/></g></g><g class=\"polarlayer\"/><g class=\"ternarylayer\"/><g class=\"geolayer\"/><g class=\"funnelarealayer\"/><g class=\"pielayer\"/><g class=\"iciclelayer\"/><g class=\"treemaplayer\"/><g class=\"sunburstlayer\"/><g class=\"glimages\"/><defs id=\"topdefs-a98c2a\"><g class=\"clips\"/><clipPath id=\"legenda98c2a\"><rect width=\"88\" height=\"48\" x=\"0\" y=\"0\"/></clipPath></defs><g class=\"layer-above\"><g class=\"imagelayer\"/><g class=\"shapelayer\"/></g><g class=\"infolayer\"><g class=\"legend\" pointer-events=\"all\" transform=\"translate(1100,100)\"><rect class=\"bg\" shape-rendering=\"crispEdges\" width=\"88\" height=\"48\" x=\"0\" y=\"0\" style=\"stroke: rgb(68, 68, 68); stroke-opacity: 1; fill: rgb(255, 255, 255); fill-opacity: 1; stroke-width: 0px;\"/><g class=\"scrollbox\" transform=\"\" clip-path=\"url(#legenda98c2a)\"><g class=\"groups\"><g class=\"traces\" transform=\"translate(0,14.5)\" style=\"opacity: 1;\"><text class=\"legendtext\" text-anchor=\"start\" x=\"40\" y=\"4.680000000000001\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre;\">trace 0</text><g class=\"layers\" style=\"opacity: 1;\"><g class=\"legendfill\"/><g class=\"legendlines\"><path class=\"js-line\" d=\"M5,0h30\" style=\"fill: none; stroke: rgb(99, 110, 250); stroke-opacity: 1; stroke-width: 2px;\"/></g><g class=\"legendsymbols\"><g class=\"legendpoints\"/></g></g><rect class=\"legendtoggle\" x=\"0\" y=\"-9.5\" width=\"82.46875\" height=\"19\" style=\"fill: rgb(0, 0, 0); fill-opacity: 0;\"/></g><g class=\"traces\" transform=\"translate(0,33.5)\" style=\"opacity: 1;\"><text class=\"legendtext\" text-anchor=\"start\" x=\"40\" y=\"4.680000000000001\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre;\">trace 1</text><g class=\"layers\" style=\"opacity: 1;\"><g class=\"legendfill\"/><g class=\"legendlines\"><path class=\"js-line\" d=\"M5,0h30\" style=\"fill: none; stroke: rgb(239, 85, 59); stroke-opacity: 1; stroke-width: 2px;\"/></g><g class=\"legendsymbols\"><g class=\"legendpoints\"/></g></g><rect class=\"legendtoggle\" x=\"0\" y=\"-9.5\" width=\"82.46875\" height=\"19\" style=\"fill: rgb(0, 0, 0); fill-opacity: 0;\"/></g></g></g><rect class=\"scrollbar\" rx=\"20\" ry=\"3\" width=\"0\" height=\"0\" x=\"0\" y=\"0\" style=\"fill: rgb(128, 139, 164); fill-opacity: 1;\"/></g><g class=\"g-gtitle\"><text class=\"gtitle\" x=\"60\" y=\"50\" text-anchor=\"start\" dy=\"0em\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 17px; fill: rgb(42, 63, 95); opacity: 1; font-weight: normal; white-space: pre;\">λ = 8, µ = 1</text></g><g class=\"g-xtitle\"/><g class=\"g-x2title\"/><g class=\"g-ytitle\"/><g class=\"g-y2title\"/><g class=\"annotation\" data-index=\"0\" style=\"opacity: 1;\"><g class=\"annotation-text-g\" transform=\"rotate(0,580,88.5)\"><g class=\"cursor-pointer\" transform=\"translate(497,77)\"><rect class=\"bg\" x=\"0.5\" y=\"0.5\" width=\"166\" height=\"22\" style=\"stroke-width: 1px; stroke: rgb(0, 0, 0); stroke-opacity: 0; fill: rgb(0, 0, 0); fill-opacity: 0;\"/><text class=\"annotation-text\" text-anchor=\"middle\" x=\"83.703125\" y=\"18\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 16px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre;\">Average Queue Size</text></g></g></g><g class=\"annotation\" data-index=\"1\" style=\"opacity: 1;\"><g class=\"annotation-text-g\" transform=\"rotate(0,580,476)\"><g class=\"cursor-pointer\" transform=\"translate(490,465)\"><rect class=\"bg\" x=\"0.5\" y=\"0.5\" width=\"180\" height=\"22\" style=\"stroke-width: 1px; stroke: rgb(0, 0, 0); stroke-opacity: 0; fill: rgb(0, 0, 0); fill-opacity: 0;\"/><text class=\"annotation-text\" text-anchor=\"middle\" x=\"90.78125\" y=\"18\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 16px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre;\">Average System Time</text></g></g></g></g></svg>"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_metrics_time_dependency(8, 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "from tqdm.notebook import tqdm\n",
    "from typing import List, Union\n",
    "\n",
    "def plot_metrics_parameter_dependency(lmda: Union[List[float], float], \n",
    "                                      mu: Union[List[float], float], \n",
    "                                      plot_theoretical: bool = False) -> None:\n",
    "    assert type(lmda) != type(mu)\n",
    "\n",
    "    if plot_theoretical:\n",
    "        fig = make_subplots(rows=2, cols=2, subplot_titles=(\"Average Queue Size (theoretical)\", \"Average Queue Size (experimental)\", \n",
    "                                                        \"Average System Time (theoretical)\", \"Average System Time (experimental)\"))\n",
    "    else:\n",
    "        fig = make_subplots(rows=2, cols=1, subplot_titles=(\"Average Queue Size\", \"Average System Time\"))\n",
    "\n",
    "    avg_queue_size = []\n",
    "    avg_system_time = []\n",
    "    parameter_values = []\n",
    "    if isinstance(lmda, list):\n",
    "        for _, cur_lmda in tqdm(enumerate(lmda)):\n",
    "            queue = Markovian(cur_lmda, mu)\n",
    "            metrics = queue.run(10000)\n",
    "            avg_queue_size.append(metrics[\"Average Queue Size\"])\n",
    "            avg_system_time.append(metrics[\"Average System Time\"])\n",
    "            parameter_values.append(float(cur_lmda))\n",
    "        queue_size_estimates = [(float(cur_lmda) * float(cur_lmda)) / (mu * (mu - float(cur_lmda))) for cur_lmda in lmda]\n",
    "        system_time_estimates = [1 / (mu - float(cur_lmda)) for cur_lmda in lmda]\n",
    "    else:\n",
    "        for _, cur_mu in tqdm(enumerate(mu)):\n",
    "            queue = Markovian(lmda, cur_mu)\n",
    "            metrics = queue.run(10000)\n",
    "            avg_queue_size.append(metrics[\"Average Queue Size\"])\n",
    "            avg_system_time.append(metrics[\"Average System Time\"])\n",
    "            parameter_values.append(float(cur_mu))\n",
    "        queue_size_estimates = [(lmda * lmda) / (float(cur_mu) * (float(cur_mu) - lmda)) for cur_mu in mu]\n",
    "        system_time_estimates = [1 / (float(cur_mu) - lmda) for cur_mu in mu]\n",
    "        \n",
    "    if plot_theoretical:\n",
    "        fig.add_trace(go.Scatter(x=parameter_values, y=queue_size_estimates), row=1, col=1)\n",
    "        fig.add_trace(go.Scatter(x=parameter_values, y=avg_queue_size), row=1, col=2)\n",
    "        fig.add_trace(go.Scatter(x=parameter_values, y=system_time_estimates), row=2, col=1)\n",
    "        fig.add_trace(go.Scatter(x=parameter_values, y=avg_system_time), row=2, col=2)\n",
    "        fig.update_xaxes(title_text=\"λ\" if isinstance(lmda, list) else \"µ\", row=1, col=1)\n",
    "        fig.update_xaxes(title_text=\"λ\" if isinstance(lmda, list) else \"µ\", row=1, col=2)\n",
    "        fig.update_xaxes(title_text=\"λ\" if isinstance(lmda, list) else \"µ\", row=2, col=1)\n",
    "        fig.update_xaxes(title_text=\"λ\" if isinstance(lmda, list) else \"µ\", row=2, col=2)\n",
    "        fig.update_yaxes(title_text=\"Queue Size\", row=1, col=1)\n",
    "        fig.update_yaxes(title_text=\"Queue Size\", row=1, col=2)\n",
    "        fig.update_yaxes(title_text=\"System Time\", row=2, col=1)\n",
    "        fig.update_yaxes(title_text=\"System Time\", row=2, col=2)\n",
    "    else:\n",
    "        fig.add_trace(go.Scatter(x=parameter_values, y=queue_size_estimates), row=1, col=1)\n",
    "        fig.add_trace(go.Scatter(x=parameter_values, y=avg_system_time), row=2, col=1)\n",
    "        fig.update_xaxes(title_text=\"λ\" if isinstance(lmda, list) else \"µ\", row=1, col=1)\n",
    "        fig.update_xaxes(title_text=\"λ\" if isinstance(lmda, list) else \"µ\", row=2, col=1)\n",
    "        fig.update_yaxes(title_text=\"Queue Size\", row=1, col=1)\n",
    "        fig.update_yaxes(title_text=\"Queue Size\", row=2, col=1)\n",
    "    print(type(parameter_values[0]))\n",
    "    print(type(avg_queue_size[0]))\n",
    "\n",
    "    fig.update_layout(\n",
    "        height=720, width=1280, \n",
    "        title_text=(f\"λ = {lmda}, \" if not isinstance(lmda, list) else f\"µ = {mu}, \") + (\"λ < µ\" if plot_theoretical else f\"\")\n",
    "    )\n",
    "\n",
    "    fig.show(\"svg\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/json": {
       "ascii": false,
       "bar_format": null,
       "colour": null,
       "elapsed": 0.07599949836730957,
       "initial": 0,
       "n": 0,
       "ncols": null,
       "nrows": 29,
       "postfix": null,
       "prefix": "",
       "rate": null,
       "total": null,
       "unit": "it",
       "unit_divisor": 1000,
       "unit_scale": false
      },
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "d6a4b5c745254a26b7ecc9583684db4b",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "0it [00:00, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/svg+xml": "<svg class=\"main-svg\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"1280\" height=\"720\" style=\"\" viewBox=\"0 0 1280 720\"><rect x=\"0\" y=\"0\" width=\"1280\" height=\"720\" style=\"fill: rgb(255, 255, 255); fill-opacity: 1;\"/><defs id=\"defs-0c9bb3\"><g class=\"clips\"><clipPath id=\"clip0c9bb3xyplot\" class=\"plotclip\"><rect width=\"1078\" height=\"202.5\"/></clipPath><clipPath id=\"clip0c9bb3x2y2plot\" class=\"plotclip\"><rect width=\"1078\" height=\"202.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip0c9bb3x\"><rect x=\"80\" y=\"0\" width=\"1078\" height=\"720\"/></clipPath><clipPath class=\"axesclip\" id=\"clip0c9bb3y\"><rect x=\"0\" y=\"100\" width=\"1280\" height=\"202.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip0c9bb3xy\"><rect x=\"80\" y=\"100\" width=\"1078\" height=\"202.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip0c9bb3y2\"><rect x=\"0\" y=\"437.5\" width=\"1280\" height=\"202.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip0c9bb3xy2\"><rect x=\"80\" y=\"437.5\" width=\"1078\" height=\"202.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip0c9bb3x2\"><rect x=\"80\" y=\"0\" width=\"1078\" height=\"720\"/></clipPath><clipPath class=\"axesclip\" id=\"clip0c9bb3x2y\"><rect x=\"80\" y=\"100\" width=\"1078\" height=\"202.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip0c9bb3x2y2\"><rect x=\"80\" y=\"437.5\" width=\"1078\" height=\"202.5\"/></clipPath></g><g class=\"gradients\"/><g class=\"patterns\"/></defs><g class=\"bglayer\"><rect class=\"bg\" x=\"80\" y=\"100\" width=\"1078\" height=\"202.5\" style=\"fill: rgb(229, 236, 246); fill-opacity: 1; stroke-width: 0;\"/><rect class=\"bg\" x=\"80\" y=\"437.5\" width=\"1078\" height=\"202.5\" style=\"fill: rgb(229, 236, 246); fill-opacity: 1; stroke-width: 0;\"/></g><g class=\"layer-below\"><g class=\"imagelayer\"/><g class=\"shapelayer\"/></g><g class=\"cartesianlayer\"><g class=\"subplot xy\"><g class=\"layer-subplot\"><g class=\"shapelayer\"/><g class=\"imagelayer\"/></g><g class=\"gridlayer\"><g class=\"x\"><path class=\"xgrid crisp\" transform=\"translate(190.25,0)\" d=\"M0,100v202.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xgrid crisp\" transform=\"translate(312.75,0)\" d=\"M0,100v202.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xgrid crisp\" transform=\"translate(435.25,0)\" d=\"M0,100v202.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xgrid crisp\" transform=\"translate(557.75,0)\" d=\"M0,100v202.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xgrid crisp\" transform=\"translate(680.25,0)\" d=\"M0,100v202.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xgrid crisp\" transform=\"translate(802.75,0)\" d=\"M0,100v202.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xgrid crisp\" transform=\"translate(925.25,0)\" d=\"M0,100v202.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xgrid crisp\" transform=\"translate(1047.75,0)\" d=\"M0,100v202.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/></g><g class=\"y\"><path class=\"ygrid crisp\" transform=\"translate(0,252.46)\" d=\"M80,0h1078\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"ygrid crisp\" transform=\"translate(0,212.31)\" d=\"M80,0h1078\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"ygrid crisp\" transform=\"translate(0,172.17000000000002)\" d=\"M80,0h1078\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"ygrid crisp\" transform=\"translate(0,132.02)\" d=\"M80,0h1078\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/></g></g><g class=\"zerolinelayer\"><path class=\"yzl zl crisp\" transform=\"translate(0,292.6)\" d=\"M80,0h1078\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 2px;\"/></g><path class=\"xlines-below\"/><path class=\"ylines-below\"/><g class=\"overlines-below\"/><g class=\"xaxislayer-below\"/><g class=\"yaxislayer-below\"/><g class=\"overaxes-below\"/><g class=\"plot\" transform=\"translate(80,100)\" clip-path=\"url(#clip0c9bb3xyplot)\"><g class=\"scatterlayer mlayer\"><g class=\"trace scatter traced180f8\" style=\"stroke-miterlimit: 2; opacity: 1;\"><g class=\"fills\"/><g class=\"errorbars\"/><g class=\"lines\"><path class=\"js-line\" d=\"M0,10.13L12.25,108.97L24.5,141.13L36.75,156.76L49,165.84L61.25,171.69L73.5,175.74L98,180.86L110.25,182.57L147,185.89L159.25,186.63L208.25,188.62L220.5,188.96L306.25,190.46L318.5,190.59L477.75,191.6L490,191.64L918.75,192.3L931,192.3L1078,192.38\" style=\"vector-effect: non-scaling-stroke; fill: none; stroke: rgb(99, 110, 250); stroke-opacity: 1; stroke-width: 2px; opacity: 1;\"/></g><g class=\"points\"/><g class=\"text\"/></g></g></g><g class=\"overplot\"/><path class=\"xlines-above crisp\" d=\"M0,0\" style=\"fill: none;\"/><path class=\"ylines-above crisp\" d=\"M0,0\" style=\"fill: none;\"/><g class=\"overlines-above\"/><g class=\"xaxislayer-above\"><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"315.5\" transform=\"translate(190.25,0)\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\">2</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"315.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(312.75,0)\">3</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"315.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(435.25,0)\">4</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"315.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(557.75,0)\">5</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"315.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(680.25,0)\">6</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"315.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(802.75,0)\">7</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"315.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(925.25,0)\">8</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"315.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(1047.75,0)\">9</text></g></g><g class=\"yaxislayer-above\"><g class=\"ytick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" transform=\"translate(0,292.6)\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\">0</text></g><g class=\"ytick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,252.46)\">2</text></g><g class=\"ytick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,212.31)\">4</text></g><g class=\"ytick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,172.17000000000002)\">6</text></g><g class=\"ytick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,132.02)\">8</text></g></g><g class=\"overaxes-above\"/></g><g class=\"subplot x2y2\"><g class=\"layer-subplot\"><g class=\"shapelayer\"/><g class=\"imagelayer\"/></g><g class=\"gridlayer\"><g class=\"x2\"><path class=\"x2grid crisp\" transform=\"translate(190.25,0)\" d=\"M0,437.5v202.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x2grid crisp\" transform=\"translate(312.75,0)\" d=\"M0,437.5v202.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x2grid crisp\" transform=\"translate(435.25,0)\" d=\"M0,437.5v202.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x2grid crisp\" transform=\"translate(557.75,0)\" d=\"M0,437.5v202.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x2grid crisp\" transform=\"translate(680.25,0)\" d=\"M0,437.5v202.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x2grid crisp\" transform=\"translate(802.75,0)\" d=\"M0,437.5v202.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x2grid crisp\" transform=\"translate(925.25,0)\" d=\"M0,437.5v202.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x2grid crisp\" transform=\"translate(1047.75,0)\" d=\"M0,437.5v202.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/></g><g class=\"y2\"><path class=\"y2grid crisp\" transform=\"translate(0,550.2)\" d=\"M80,0h1078\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"y2grid crisp\" transform=\"translate(0,468.74)\" d=\"M80,0h1078\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/></g></g><g class=\"zerolinelayer\"><path class=\"y2zl zl crisp\" transform=\"translate(0,631.66)\" d=\"M80,0h1078\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 2px;\"/></g><path class=\"xlines-below\"/><path class=\"ylines-below\"/><g class=\"overlines-below\"/><g class=\"xaxislayer-below\"/><g class=\"yaxislayer-below\"/><g class=\"overaxes-below\"/><g class=\"plot\" transform=\"translate(80,437.5)\" clip-path=\"url(#clip0c9bb3x2y2plot)\"><g class=\"scatterlayer mlayer\"><g class=\"trace scatter tracea68a02\" style=\"stroke-miterlimit: 2; opacity: 1;\"><g class=\"fills\"/><g class=\"errorbars\"/><g class=\"lines\"><path class=\"js-line\" d=\"M0,10.13L12.25,124.34L24.5,142.37L36.75,154.88L49,160.5L61.25,167.77L73.5,171.32L85.75,174.29L98,176.19L110.25,178.16L122.5,179.18L171.5,183.7L183.75,184.05L232.75,186.26L245,186.31L330.75,188.31L343,188.67L416.5,189.59L428.75,189.71L673.75,191.26L686,191.33L1078,192.32\" style=\"vector-effect: non-scaling-stroke; fill: none; stroke: rgb(239, 85, 59); stroke-opacity: 1; stroke-width: 2px; opacity: 1;\"/></g><g class=\"points\"/><g class=\"text\"/></g></g></g><g class=\"overplot\"/><path class=\"xlines-above crisp\" d=\"M0,0\" style=\"fill: none;\"/><path class=\"ylines-above crisp\" d=\"M0,0\" style=\"fill: none;\"/><g class=\"overlines-above\"/><g class=\"xaxislayer-above\"><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"653\" transform=\"translate(190.25,0)\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\">2</text></g><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"653\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(312.75,0)\">3</text></g><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"653\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(435.25,0)\">4</text></g><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"653\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(557.75,0)\">5</text></g><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"653\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(680.25,0)\">6</text></g><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"653\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(802.75,0)\">7</text></g><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"653\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(925.25,0)\">8</text></g><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"653\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(1047.75,0)\">9</text></g></g><g class=\"yaxislayer-above\"><g class=\"y2tick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" transform=\"translate(0,631.66)\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\">0</text></g><g class=\"y2tick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,550.2)\">5</text></g><g class=\"y2tick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,468.74)\">10</text></g></g><g class=\"overaxes-above\"/></g></g><g class=\"polarlayer\"/><g class=\"ternarylayer\"/><g class=\"geolayer\"/><g class=\"funnelarealayer\"/><g class=\"pielayer\"/><g class=\"iciclelayer\"/><g class=\"treemaplayer\"/><g class=\"sunburstlayer\"/><g class=\"glimages\"/><defs id=\"topdefs-0c9bb3\"><g class=\"clips\"/><clipPath id=\"legend0c9bb3\"><rect width=\"88\" height=\"48\" x=\"0\" y=\"0\"/></clipPath></defs><g class=\"layer-above\"><g class=\"imagelayer\"/><g class=\"shapelayer\"/></g><g class=\"infolayer\"><g class=\"legend\" pointer-events=\"all\" transform=\"translate(1179.56,100)\"><rect class=\"bg\" shape-rendering=\"crispEdges\" width=\"88\" height=\"48\" x=\"0\" y=\"0\" style=\"stroke: rgb(68, 68, 68); stroke-opacity: 1; fill: rgb(255, 255, 255); fill-opacity: 1; stroke-width: 0px;\"/><g class=\"scrollbox\" transform=\"\" clip-path=\"url(#legend0c9bb3)\"><g class=\"groups\"><g class=\"traces\" transform=\"translate(0,14.5)\" style=\"opacity: 1;\"><text class=\"legendtext\" text-anchor=\"start\" x=\"40\" y=\"4.680000000000001\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre;\">trace 0</text><g class=\"layers\" style=\"opacity: 1;\"><g class=\"legendfill\"/><g class=\"legendlines\"><path class=\"js-line\" d=\"M5,0h30\" style=\"fill: none; stroke: rgb(99, 110, 250); stroke-opacity: 1; stroke-width: 2px;\"/></g><g class=\"legendsymbols\"><g class=\"legendpoints\"/></g></g><rect class=\"legendtoggle\" x=\"0\" y=\"-9.5\" width=\"82.46875\" height=\"19\" style=\"fill: rgb(0, 0, 0); fill-opacity: 0;\"/></g><g class=\"traces\" transform=\"translate(0,33.5)\" style=\"opacity: 1;\"><text class=\"legendtext\" text-anchor=\"start\" x=\"40\" y=\"4.680000000000001\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre;\">trace 1</text><g class=\"layers\" style=\"opacity: 1;\"><g class=\"legendfill\"/><g class=\"legendlines\"><path class=\"js-line\" d=\"M5,0h30\" style=\"fill: none; stroke: rgb(239, 85, 59); stroke-opacity: 1; stroke-width: 2px;\"/></g><g class=\"legendsymbols\"><g class=\"legendpoints\"/></g></g><rect class=\"legendtoggle\" x=\"0\" y=\"-9.5\" width=\"82.46875\" height=\"19\" style=\"fill: rgb(0, 0, 0); fill-opacity: 0;\"/></g></g></g><rect class=\"scrollbar\" rx=\"20\" ry=\"3\" width=\"0\" height=\"0\" x=\"0\" y=\"0\" style=\"fill: rgb(128, 139, 164); fill-opacity: 1;\"/></g><g class=\"g-gtitle\"><text class=\"gtitle\" x=\"64\" y=\"50\" text-anchor=\"start\" dy=\"0em\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 17px; fill: rgb(42, 63, 95); opacity: 1; font-weight: normal; white-space: pre;\">λ = 1</text></g><g class=\"g-xtitle\"><text class=\"xtitle\" x=\"619\" y=\"343.3\" text-anchor=\"middle\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 14px; fill: rgb(42, 63, 95); opacity: 1; font-weight: normal; white-space: pre;\">µ</text></g><g class=\"g-x2title\"><text class=\"x2title\" x=\"619\" y=\"680.8\" text-anchor=\"middle\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 14px; fill: rgb(42, 63, 95); opacity: 1; font-weight: normal; white-space: pre;\">µ</text></g><g class=\"g-ytitle\"><text class=\"ytitle\" transform=\"rotate(-90,46.559375,201.25)\" x=\"46.559375\" y=\"201.25\" text-anchor=\"middle\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 14px; fill: rgb(42, 63, 95); opacity: 1; font-weight: normal; white-space: pre;\">Queue Size</text></g><g class=\"g-y2title\"><text class=\"y2title\" transform=\"rotate(-90,38.934375,538.75)\" x=\"38.934375\" y=\"538.75\" text-anchor=\"middle\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 14px; fill: rgb(42, 63, 95); opacity: 1; font-weight: normal; white-space: pre;\">Queue Size</text></g><g class=\"annotation\" data-index=\"0\" style=\"opacity: 1;\"><g class=\"annotation-text-g\" transform=\"rotate(0,619,88.5)\"><g class=\"cursor-pointer\" transform=\"translate(536,77)\"><rect class=\"bg\" x=\"0.5\" y=\"0.5\" width=\"166\" height=\"22\" style=\"stroke-width: 1px; stroke: rgb(0, 0, 0); stroke-opacity: 0; fill: rgb(0, 0, 0); fill-opacity: 0;\"/><text class=\"annotation-text\" text-anchor=\"middle\" x=\"83.703125\" y=\"18\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 16px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre;\">Average Queue Size</text></g></g></g><g class=\"annotation\" data-index=\"1\" style=\"opacity: 1;\"><g class=\"annotation-text-g\" transform=\"rotate(0,619,426)\"><g class=\"cursor-pointer\" transform=\"translate(529,415)\"><rect class=\"bg\" x=\"0.5\" y=\"0.5\" width=\"180\" height=\"22\" style=\"stroke-width: 1px; stroke: rgb(0, 0, 0); stroke-opacity: 0; fill: rgb(0, 0, 0); fill-opacity: 0;\"/><text class=\"annotation-text\" text-anchor=\"middle\" x=\"90.78125\" y=\"18\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 16px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre;\">Average System Time</text></g></g></g></g></svg>"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_metrics_parameter_dependency(1, list(np.arange(1.1, 10.0, 0.1)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/json": {
       "ascii": false,
       "bar_format": null,
       "colour": null,
       "elapsed": 0.07882213592529297,
       "initial": 0,
       "n": 0,
       "ncols": null,
       "nrows": 29,
       "postfix": null,
       "prefix": "",
       "rate": null,
       "total": null,
       "unit": "it",
       "unit_divisor": 1000,
       "unit_scale": false
      },
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "75b2728339e046df895b444e786770f6",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "0it [00:00, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/svg+xml": "<svg class=\"main-svg\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"1280\" height=\"720\" style=\"\" viewBox=\"0 0 1280 720\"><rect x=\"0\" y=\"0\" width=\"1280\" height=\"720\" style=\"fill: rgb(255, 255, 255); fill-opacity: 1;\"/><defs id=\"defs-916e62\"><g class=\"clips\"><clipPath id=\"clip916e62xyplot\" class=\"plotclip\"><rect width=\"485.1\" height=\"202.5\"/></clipPath><clipPath id=\"clip916e62x2y2plot\" class=\"plotclip\"><rect width=\"485.09999999999997\" height=\"202.5\"/></clipPath><clipPath id=\"clip916e62x3y3plot\" class=\"plotclip\"><rect width=\"485.1\" height=\"202.5\"/></clipPath><clipPath id=\"clip916e62x4y4plot\" class=\"plotclip\"><rect width=\"485.09999999999997\" height=\"202.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip916e62x\"><rect x=\"80\" y=\"0\" width=\"485.1\" height=\"720\"/></clipPath><clipPath class=\"axesclip\" id=\"clip916e62y\"><rect x=\"0\" y=\"100\" width=\"1280\" height=\"202.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip916e62xy\"><rect x=\"80\" y=\"100\" width=\"485.1\" height=\"202.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip916e62y2\"><rect x=\"0\" y=\"100\" width=\"1280\" height=\"202.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip916e62xy2\"><rect x=\"80\" y=\"100\" width=\"485.1\" height=\"202.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip916e62y3\"><rect x=\"0\" y=\"437.5\" width=\"1280\" height=\"202.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip916e62xy3\"><rect x=\"80\" y=\"437.5\" width=\"485.1\" height=\"202.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip916e62y4\"><rect x=\"0\" y=\"437.5\" width=\"1280\" height=\"202.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip916e62xy4\"><rect x=\"80\" y=\"437.5\" width=\"485.1\" height=\"202.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip916e62x2\"><rect x=\"672.9000000000001\" y=\"0\" width=\"485.09999999999997\" height=\"720\"/></clipPath><clipPath class=\"axesclip\" id=\"clip916e62x2y\"><rect x=\"672.9000000000001\" y=\"100\" width=\"485.09999999999997\" height=\"202.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip916e62x2y2\"><rect x=\"672.9000000000001\" y=\"100\" width=\"485.09999999999997\" height=\"202.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip916e62x2y3\"><rect x=\"672.9000000000001\" y=\"437.5\" width=\"485.09999999999997\" height=\"202.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip916e62x2y4\"><rect x=\"672.9000000000001\" y=\"437.5\" width=\"485.09999999999997\" height=\"202.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip916e62x3\"><rect x=\"80\" y=\"0\" width=\"485.1\" height=\"720\"/></clipPath><clipPath class=\"axesclip\" id=\"clip916e62x3y\"><rect x=\"80\" y=\"100\" width=\"485.1\" height=\"202.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip916e62x3y2\"><rect x=\"80\" y=\"100\" width=\"485.1\" height=\"202.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip916e62x3y3\"><rect x=\"80\" y=\"437.5\" width=\"485.1\" height=\"202.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip916e62x3y4\"><rect x=\"80\" y=\"437.5\" width=\"485.1\" height=\"202.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip916e62x4\"><rect x=\"672.9000000000001\" y=\"0\" width=\"485.09999999999997\" height=\"720\"/></clipPath><clipPath class=\"axesclip\" id=\"clip916e62x4y\"><rect x=\"672.9000000000001\" y=\"100\" width=\"485.09999999999997\" height=\"202.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip916e62x4y2\"><rect x=\"672.9000000000001\" y=\"100\" width=\"485.09999999999997\" height=\"202.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip916e62x4y3\"><rect x=\"672.9000000000001\" y=\"437.5\" width=\"485.09999999999997\" height=\"202.5\"/></clipPath><clipPath class=\"axesclip\" id=\"clip916e62x4y4\"><rect x=\"672.9000000000001\" y=\"437.5\" width=\"485.09999999999997\" height=\"202.5\"/></clipPath></g><g class=\"gradients\"/><g class=\"patterns\"/></defs><g class=\"bglayer\"><rect class=\"bg\" x=\"80\" y=\"100\" width=\"485.1\" height=\"202.5\" style=\"fill: rgb(229, 236, 246); fill-opacity: 1; stroke-width: 0;\"/><rect class=\"bg\" x=\"672.9000000000001\" y=\"100\" width=\"485.09999999999997\" height=\"202.5\" style=\"fill: rgb(229, 236, 246); fill-opacity: 1; stroke-width: 0;\"/><rect class=\"bg\" x=\"80\" y=\"437.5\" width=\"485.1\" height=\"202.5\" style=\"fill: rgb(229, 236, 246); fill-opacity: 1; stroke-width: 0;\"/><rect class=\"bg\" x=\"672.9000000000001\" y=\"437.5\" width=\"485.09999999999997\" height=\"202.5\" style=\"fill: rgb(229, 236, 246); fill-opacity: 1; stroke-width: 0;\"/></g><g class=\"layer-below\"><g class=\"imagelayer\"/><g class=\"shapelayer\"/></g><g class=\"cartesianlayer\"><g class=\"subplot xy\"><g class=\"layer-subplot\"><g class=\"shapelayer\"/><g class=\"imagelayer\"/></g><g class=\"gridlayer\"><g class=\"x\"><path class=\"xgrid crisp\" transform=\"translate(129.61,0)\" d=\"M0,100v202.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xgrid crisp\" transform=\"translate(239.86,0)\" d=\"M0,100v202.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xgrid crisp\" transform=\"translate(350.11,0)\" d=\"M0,100v202.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"xgrid crisp\" transform=\"translate(460.36,0)\" d=\"M0,100v202.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/></g><g class=\"y\"><path class=\"ygrid crisp\" transform=\"translate(0,252.46)\" d=\"M80,0h485.1\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"ygrid crisp\" transform=\"translate(0,212.31)\" d=\"M80,0h485.1\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"ygrid crisp\" transform=\"translate(0,172.17000000000002)\" d=\"M80,0h485.1\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"ygrid crisp\" transform=\"translate(0,132.02)\" d=\"M80,0h485.1\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/></g></g><g class=\"zerolinelayer\"><path class=\"yzl zl crisp\" transform=\"translate(0,292.6)\" d=\"M80,0h485.1\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 2px;\"/></g><path class=\"xlines-below\"/><path class=\"ylines-below\"/><g class=\"overlines-below\"/><g class=\"xaxislayer-below\"/><g class=\"yaxislayer-below\"/><g class=\"overaxes-below\"/><g class=\"plot\" transform=\"translate(80,100)\" clip-path=\"url(#clip916e62xyplot)\"><g class=\"scatterlayer mlayer\"><g class=\"trace scatter traced36ddc\" style=\"stroke-miterlimit: 2; opacity: 1;\"><g class=\"fills\"/><g class=\"errorbars\"/><g class=\"lines\"><path class=\"js-line\" d=\"M0,10.13L5.51,108.97L11.02,141.13L16.54,156.76L22.05,165.84L27.56,171.69L33.07,175.74L44.1,180.86L49.61,182.57L66.15,185.89L71.66,186.63L93.71,188.62L99.23,188.96L137.81,190.46L143.32,190.59L214.99,191.6L220.5,191.64L413.44,192.3L418.95,192.3L485.1,192.38\" style=\"vector-effect: non-scaling-stroke; fill: none; stroke: rgb(99, 110, 250); stroke-opacity: 1; stroke-width: 2px; opacity: 1;\"/></g><g class=\"points\"/><g class=\"text\"/></g></g></g><g class=\"overplot\"/><path class=\"xlines-above crisp\" d=\"M0,0\" style=\"fill: none;\"/><path class=\"ylines-above crisp\" d=\"M0,0\" style=\"fill: none;\"/><g class=\"overlines-above\"/><g class=\"xaxislayer-above\"><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"315.5\" transform=\"translate(129.61,0)\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\">2</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"315.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(239.86,0)\">4</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"315.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(350.11,0)\">6</text></g><g class=\"xtick\"><text text-anchor=\"middle\" x=\"0\" y=\"315.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(460.36,0)\">8</text></g></g><g class=\"yaxislayer-above\"><g class=\"ytick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" transform=\"translate(0,292.6)\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\">0</text></g><g class=\"ytick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,252.46)\">2</text></g><g class=\"ytick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,212.31)\">4</text></g><g class=\"ytick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,172.17000000000002)\">6</text></g><g class=\"ytick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,132.02)\">8</text></g></g><g class=\"overaxes-above\"/></g><g class=\"subplot x2y2\"><g class=\"layer-subplot\"><g class=\"shapelayer\"/><g class=\"imagelayer\"/></g><g class=\"gridlayer\"><g class=\"x2\"><path class=\"x2grid crisp\" transform=\"translate(722.5100000000001,0)\" d=\"M0,100v202.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x2grid crisp\" transform=\"translate(832.7600000000001,0)\" d=\"M0,100v202.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x2grid crisp\" transform=\"translate(943.0100000000001,0)\" d=\"M0,100v202.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x2grid crisp\" transform=\"translate(1053.2600000000002,0)\" d=\"M0,100v202.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/></g><g class=\"y2\"><path class=\"y2grid crisp\" transform=\"translate(0,217.45999999999998)\" d=\"M672.9000000000001,0h485.09999999999997\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"y2grid crisp\" transform=\"translate(0,142.4)\" d=\"M672.9000000000001,0h485.09999999999997\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/></g></g><g class=\"zerolinelayer\"><path class=\"y2zl zl crisp\" transform=\"translate(0,292.52)\" d=\"M672.9000000000001,0h485.09999999999997\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 2px;\"/></g><path class=\"xlines-below\"/><path class=\"ylines-below\"/><g class=\"overlines-below\"/><g class=\"xaxislayer-below\"/><g class=\"yaxislayer-below\"/><g class=\"overaxes-below\"/><g class=\"plot\" transform=\"translate(672.9000000000001,100)\" clip-path=\"url(#clip916e62x2y2plot)\"><g class=\"scatterlayer mlayer\"><g class=\"trace scatter tracee817f3\" style=\"stroke-miterlimit: 2; opacity: 1;\"><g class=\"fills\"/><g class=\"errorbars\"/><g class=\"lines\"><path class=\"js-line\" d=\"M0,10.13L5.51,134.53L11.02,154.2L16.54,166.81L22.05,171.51L27.56,178.17L33.07,179.97L38.59,181.46L44.1,184.09L77.17,188.7L82.69,188.75L93.71,189.49L99.23,189.5L115.76,190.47L121.27,190.35L148.84,191.1L154.35,191.2L248.06,191.93L253.58,191.96L485.1,192.35\" style=\"vector-effect: non-scaling-stroke; fill: none; stroke: rgb(239, 85, 59); stroke-opacity: 1; stroke-width: 2px; opacity: 1;\"/></g><g class=\"points\"/><g class=\"text\"/></g></g></g><g class=\"overplot\"/><path class=\"xlines-above crisp\" d=\"M0,0\" style=\"fill: none;\"/><path class=\"ylines-above crisp\" d=\"M0,0\" style=\"fill: none;\"/><g class=\"overlines-above\"/><g class=\"xaxislayer-above\"><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"315.5\" transform=\"translate(722.5100000000001,0)\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\">2</text></g><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"315.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(832.7600000000001,0)\">4</text></g><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"315.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(943.0100000000001,0)\">6</text></g><g class=\"x2tick\"><text text-anchor=\"middle\" x=\"0\" y=\"315.5\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(1053.2600000000002,0)\">8</text></g></g><g class=\"yaxislayer-above\"><g class=\"y2tick\"><text text-anchor=\"end\" x=\"671.9000000000001\" y=\"4.199999999999999\" transform=\"translate(0,292.52)\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\">0</text></g><g class=\"y2tick\"><text text-anchor=\"end\" x=\"671.9000000000001\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,217.45999999999998)\">5</text></g><g class=\"y2tick\"><text text-anchor=\"end\" x=\"671.9000000000001\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,142.4)\">10</text></g></g><g class=\"overaxes-above\"/></g><g class=\"subplot x3y3\"><g class=\"layer-subplot\"><g class=\"shapelayer\"/><g class=\"imagelayer\"/></g><g class=\"gridlayer\"><g class=\"x3\"><path class=\"x3grid crisp\" transform=\"translate(129.61,0)\" d=\"M0,437.5v202.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x3grid crisp\" transform=\"translate(239.86,0)\" d=\"M0,437.5v202.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x3grid crisp\" transform=\"translate(350.11,0)\" d=\"M0,437.5v202.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x3grid crisp\" transform=\"translate(460.36,0)\" d=\"M0,437.5v202.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/></g><g class=\"y3\"><path class=\"y3grid crisp\" transform=\"translate(0,595.08)\" d=\"M80,0h485.1\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"y3grid crisp\" transform=\"translate(0,558.22)\" d=\"M80,0h485.1\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"y3grid crisp\" transform=\"translate(0,521.35)\" d=\"M80,0h485.1\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"y3grid crisp\" transform=\"translate(0,484.49)\" d=\"M80,0h485.1\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"y3grid crisp\" transform=\"translate(0,447.62)\" d=\"M80,0h485.1\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/></g></g><g class=\"zerolinelayer\"><path class=\"y3zl zl crisp\" transform=\"translate(0,631.95)\" d=\"M80,0h485.1\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 2px;\"/></g><path class=\"xlines-below\"/><path class=\"ylines-below\"/><g class=\"overlines-below\"/><g class=\"xaxislayer-below\"/><g class=\"yaxislayer-below\"/><g class=\"overaxes-below\"/><g class=\"plot\" transform=\"translate(80,437.5)\" clip-path=\"url(#clip916e62x3y3plot)\"><g class=\"scatterlayer mlayer\"><g class=\"trace scatter tracec7d67a\" style=\"stroke-miterlimit: 2; opacity: 1;\"><g class=\"fills\"/><g class=\"errorbars\"/><g class=\"lines\"><path class=\"js-line\" d=\"M0,10.13L5.51,102.29L11.02,133.01L16.54,148.37L22.05,157.58L27.56,163.73L33.07,168.11L44.1,173.97L49.61,176.01L66.15,180.27L71.66,181.28L93.71,184.21L99.23,184.74L132.3,187.07L137.81,187.36L192.94,189.33L198.45,189.46L286.65,190.97L292.16,191.03L485.1,192.38\" style=\"vector-effect: non-scaling-stroke; fill: none; stroke: rgb(0, 204, 150); stroke-opacity: 1; stroke-width: 2px; opacity: 1;\"/></g><g class=\"points\"/><g class=\"text\"/></g></g></g><g class=\"overplot\"/><path class=\"xlines-above crisp\" d=\"M0,0\" style=\"fill: none;\"/><path class=\"ylines-above crisp\" d=\"M0,0\" style=\"fill: none;\"/><g class=\"overlines-above\"/><g class=\"xaxislayer-above\"><g class=\"x3tick\"><text text-anchor=\"middle\" x=\"0\" y=\"653\" transform=\"translate(129.61,0)\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\">2</text></g><g class=\"x3tick\"><text text-anchor=\"middle\" x=\"0\" y=\"653\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(239.86,0)\">4</text></g><g class=\"x3tick\"><text text-anchor=\"middle\" x=\"0\" y=\"653\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(350.11,0)\">6</text></g><g class=\"x3tick\"><text text-anchor=\"middle\" x=\"0\" y=\"653\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(460.36,0)\">8</text></g></g><g class=\"yaxislayer-above\"><g class=\"y3tick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" transform=\"translate(0,631.95)\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\">0</text></g><g class=\"y3tick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,595.08)\">2</text></g><g class=\"y3tick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,558.22)\">4</text></g><g class=\"y3tick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,521.35)\">6</text></g><g class=\"y3tick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,484.49)\">8</text></g><g class=\"y3tick\"><text text-anchor=\"end\" x=\"79\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,447.62)\">10</text></g></g><g class=\"overaxes-above\"/></g><g class=\"subplot x4y4\"><g class=\"layer-subplot\"><g class=\"shapelayer\"/><g class=\"imagelayer\"/></g><g class=\"gridlayer\"><g class=\"x4\"><path class=\"x4grid crisp\" transform=\"translate(722.5100000000001,0)\" d=\"M0,437.5v202.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x4grid crisp\" transform=\"translate(832.7600000000001,0)\" d=\"M0,437.5v202.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x4grid crisp\" transform=\"translate(943.0100000000001,0)\" d=\"M0,437.5v202.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"x4grid crisp\" transform=\"translate(1053.2600000000002,0)\" d=\"M0,437.5v202.5\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/></g><g class=\"y4\"><path class=\"y4grid crisp\" transform=\"translate(0,560.98)\" d=\"M672.9000000000001,0h485.09999999999997\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/><path class=\"y4grid crisp\" transform=\"translate(0,490.51)\" d=\"M672.9000000000001,0h485.09999999999997\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 1px;\"/></g></g><g class=\"zerolinelayer\"><path class=\"y4zl zl crisp\" transform=\"translate(0,631.46)\" d=\"M672.9000000000001,0h485.09999999999997\" style=\"stroke: rgb(255, 255, 255); stroke-opacity: 1; stroke-width: 2px;\"/></g><path class=\"xlines-below\"/><path class=\"ylines-below\"/><g class=\"overlines-below\"/><g class=\"xaxislayer-below\"/><g class=\"yaxislayer-below\"/><g class=\"overaxes-below\"/><g class=\"plot\" transform=\"translate(672.9000000000001,437.5)\" clip-path=\"url(#clip916e62x4y4plot)\"><g class=\"scatterlayer mlayer\"><g class=\"trace scatter tracece45aa\" style=\"stroke-miterlimit: 2; opacity: 1;\"><g class=\"fills\"/><g class=\"errorbars\"/><g class=\"lines\"><path class=\"js-line\" d=\"M0,10.13L5.51,127.93L11.02,147.18L16.54,159.83L22.05,164.83L27.56,171.7L33.07,173.86L38.59,175.75L44.1,178.68L71.66,184.09L77.17,184.71L99.23,186.23L104.74,186.96L187.43,189.95L192.94,190.11L264.6,191.14L270.11,191.18L424.46,192.12L429.98,192.14L485.1,192.36\" style=\"vector-effect: non-scaling-stroke; fill: none; stroke: rgb(171, 99, 250); stroke-opacity: 1; stroke-width: 2px; opacity: 1;\"/></g><g class=\"points\"/><g class=\"text\"/></g></g></g><g class=\"overplot\"/><path class=\"xlines-above crisp\" d=\"M0,0\" style=\"fill: none;\"/><path class=\"ylines-above crisp\" d=\"M0,0\" style=\"fill: none;\"/><g class=\"overlines-above\"/><g class=\"xaxislayer-above\"><g class=\"x4tick\"><text text-anchor=\"middle\" x=\"0\" y=\"653\" transform=\"translate(722.5100000000001,0)\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\">2</text></g><g class=\"x4tick\"><text text-anchor=\"middle\" x=\"0\" y=\"653\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(832.7600000000001,0)\">4</text></g><g class=\"x4tick\"><text text-anchor=\"middle\" x=\"0\" y=\"653\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(943.0100000000001,0)\">6</text></g><g class=\"x4tick\"><text text-anchor=\"middle\" x=\"0\" y=\"653\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(1053.2600000000002,0)\">8</text></g></g><g class=\"yaxislayer-above\"><g class=\"y4tick\"><text text-anchor=\"end\" x=\"671.9000000000001\" y=\"4.199999999999999\" transform=\"translate(0,631.46)\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\">0</text></g><g class=\"y4tick\"><text text-anchor=\"end\" x=\"671.9000000000001\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,560.98)\">5</text></g><g class=\"y4tick\"><text text-anchor=\"end\" x=\"671.9000000000001\" y=\"4.199999999999999\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre; opacity: 1;\" transform=\"translate(0,490.51)\">10</text></g></g><g class=\"overaxes-above\"/></g></g><g class=\"polarlayer\"/><g class=\"ternarylayer\"/><g class=\"geolayer\"/><g class=\"funnelarealayer\"/><g class=\"pielayer\"/><g class=\"iciclelayer\"/><g class=\"treemaplayer\"/><g class=\"sunburstlayer\"/><g class=\"glimages\"/><defs id=\"topdefs-916e62\"><g class=\"clips\"/><clipPath id=\"legend916e62\"><rect width=\"88\" height=\"86\" x=\"0\" y=\"0\"/></clipPath></defs><g class=\"layer-above\"><g class=\"imagelayer\"/><g class=\"shapelayer\"/></g><g class=\"infolayer\"><g class=\"legend\" pointer-events=\"all\" transform=\"translate(1179.56,100)\"><rect class=\"bg\" shape-rendering=\"crispEdges\" width=\"88\" height=\"86\" x=\"0\" y=\"0\" style=\"stroke: rgb(68, 68, 68); stroke-opacity: 1; fill: rgb(255, 255, 255); fill-opacity: 1; stroke-width: 0px;\"/><g class=\"scrollbox\" transform=\"\" clip-path=\"url(#legend916e62)\"><g class=\"groups\"><g class=\"traces\" transform=\"translate(0,14.5)\" style=\"opacity: 1;\"><text class=\"legendtext\" text-anchor=\"start\" x=\"40\" y=\"4.680000000000001\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre;\">trace 0</text><g class=\"layers\" style=\"opacity: 1;\"><g class=\"legendfill\"/><g class=\"legendlines\"><path class=\"js-line\" d=\"M5,0h30\" style=\"fill: none; stroke: rgb(99, 110, 250); stroke-opacity: 1; stroke-width: 2px;\"/></g><g class=\"legendsymbols\"><g class=\"legendpoints\"/></g></g><rect class=\"legendtoggle\" x=\"0\" y=\"-9.5\" width=\"82.46875\" height=\"19\" style=\"fill: rgb(0, 0, 0); fill-opacity: 0;\"/></g><g class=\"traces\" transform=\"translate(0,33.5)\" style=\"opacity: 1;\"><text class=\"legendtext\" text-anchor=\"start\" x=\"40\" y=\"4.680000000000001\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre;\">trace 1</text><g class=\"layers\" style=\"opacity: 1;\"><g class=\"legendfill\"/><g class=\"legendlines\"><path class=\"js-line\" d=\"M5,0h30\" style=\"fill: none; stroke: rgb(239, 85, 59); stroke-opacity: 1; stroke-width: 2px;\"/></g><g class=\"legendsymbols\"><g class=\"legendpoints\"/></g></g><rect class=\"legendtoggle\" x=\"0\" y=\"-9.5\" width=\"82.46875\" height=\"19\" style=\"fill: rgb(0, 0, 0); fill-opacity: 0;\"/></g><g class=\"traces\" transform=\"translate(0,52.5)\" style=\"opacity: 1;\"><text class=\"legendtext\" text-anchor=\"start\" x=\"40\" y=\"4.680000000000001\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre;\">trace 2</text><g class=\"layers\" style=\"opacity: 1;\"><g class=\"legendfill\"/><g class=\"legendlines\"><path class=\"js-line\" d=\"M5,0h30\" style=\"fill: none; stroke: rgb(0, 204, 150); stroke-opacity: 1; stroke-width: 2px;\"/></g><g class=\"legendsymbols\"><g class=\"legendpoints\"/></g></g><rect class=\"legendtoggle\" x=\"0\" y=\"-9.5\" width=\"82.46875\" height=\"19\" style=\"fill: rgb(0, 0, 0); fill-opacity: 0;\"/></g><g class=\"traces\" transform=\"translate(0,71.5)\" style=\"opacity: 1;\"><text class=\"legendtext\" text-anchor=\"start\" x=\"40\" y=\"4.680000000000001\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 12px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre;\">trace 3</text><g class=\"layers\" style=\"opacity: 1;\"><g class=\"legendfill\"/><g class=\"legendlines\"><path class=\"js-line\" d=\"M5,0h30\" style=\"fill: none; stroke: rgb(171, 99, 250); stroke-opacity: 1; stroke-width: 2px;\"/></g><g class=\"legendsymbols\"><g class=\"legendpoints\"/></g></g><rect class=\"legendtoggle\" x=\"0\" y=\"-9.5\" width=\"82.46875\" height=\"19\" style=\"fill: rgb(0, 0, 0); fill-opacity: 0;\"/></g></g></g><rect class=\"scrollbar\" rx=\"20\" ry=\"3\" width=\"0\" height=\"0\" x=\"0\" y=\"0\" style=\"fill: rgb(128, 139, 164); fill-opacity: 1;\"/></g><g class=\"g-gtitle\"><text class=\"gtitle\" x=\"64\" y=\"50\" text-anchor=\"start\" dy=\"0em\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 17px; fill: rgb(42, 63, 95); opacity: 1; font-weight: normal; white-space: pre;\">λ = 1, λ &#60; µ</text></g><g class=\"g-xtitle\"><text class=\"xtitle\" x=\"322.55\" y=\"343.3\" text-anchor=\"middle\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 14px; fill: rgb(42, 63, 95); opacity: 1; font-weight: normal; white-space: pre;\">µ</text></g><g class=\"g-x2title\"><text class=\"x2title\" x=\"915.45\" y=\"343.3\" text-anchor=\"middle\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 14px; fill: rgb(42, 63, 95); opacity: 1; font-weight: normal; white-space: pre;\">µ</text></g><g class=\"g-x3title\"><text class=\"x3title\" x=\"322.55\" y=\"680.8\" text-anchor=\"middle\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 14px; fill: rgb(42, 63, 95); opacity: 1; font-weight: normal; white-space: pre;\">µ</text></g><g class=\"g-x4title\"><text class=\"x4title\" x=\"915.45\" y=\"680.8\" text-anchor=\"middle\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 14px; fill: rgb(42, 63, 95); opacity: 1; font-weight: normal; white-space: pre;\">µ</text></g><g class=\"g-ytitle\"><text class=\"ytitle\" transform=\"rotate(-90,46.559375,201.25)\" x=\"46.559375\" y=\"201.25\" text-anchor=\"middle\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 14px; fill: rgb(42, 63, 95); opacity: 1; font-weight: normal; white-space: pre;\">Queue Size</text></g><g class=\"g-y2title\"><text class=\"y2title\" transform=\"rotate(-90,631.840625,201.25)\" x=\"631.840625\" y=\"201.25\" text-anchor=\"middle\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 14px; fill: rgb(42, 63, 95); opacity: 1; font-weight: normal; white-space: pre;\">Queue Size</text></g><g class=\"g-y3title\"><text class=\"y3title\" transform=\"rotate(-90,38.934375,538.75)\" x=\"38.934375\" y=\"538.75\" text-anchor=\"middle\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 14px; fill: rgb(42, 63, 95); opacity: 1; font-weight: normal; white-space: pre;\">System Time</text></g><g class=\"g-y4title\"><text class=\"y4title\" transform=\"rotate(-90,631.840625,538.75)\" x=\"631.840625\" y=\"538.75\" text-anchor=\"middle\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 14px; fill: rgb(42, 63, 95); opacity: 1; font-weight: normal; white-space: pre;\">System Time</text></g><g class=\"annotation\" data-index=\"0\" style=\"opacity: 1;\"><g class=\"annotation-text-g\" transform=\"rotate(0,322.55,88.49999999999999)\"><g class=\"cursor-pointer\" transform=\"translate(187,77)\"><rect class=\"bg\" x=\"0.5\" y=\"0.5\" width=\"271\" height=\"22\" style=\"stroke-width: 1px; stroke: rgb(0, 0, 0); stroke-opacity: 0; fill: rgb(0, 0, 0); fill-opacity: 0;\"/><text class=\"annotation-text\" text-anchor=\"middle\" x=\"136.3125\" y=\"18\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 16px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre;\">Average Queue Size (theoretical)</text></g></g></g><g class=\"annotation\" data-index=\"1\" style=\"opacity: 1;\"><g class=\"annotation-text-g\" transform=\"rotate(0,915.45,88.49999999999999)\"><g class=\"cursor-pointer\" transform=\"translate(769,77)\"><rect class=\"bg\" x=\"0.5\" y=\"0.5\" width=\"291\" height=\"22\" style=\"stroke-width: 1px; stroke: rgb(0, 0, 0); stroke-opacity: 0; fill: rgb(0, 0, 0); fill-opacity: 0;\"/><text class=\"annotation-text\" text-anchor=\"middle\" x=\"146.40625\" y=\"18\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 16px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre;\">Average Queue Size (experimental)</text></g></g></g><g class=\"annotation\" data-index=\"2\" style=\"opacity: 1;\"><g class=\"annotation-text-g\" transform=\"rotate(0,322.55,426)\"><g class=\"cursor-pointer\" transform=\"translate(180,415)\"><rect class=\"bg\" x=\"0.5\" y=\"0.5\" width=\"285\" height=\"22\" style=\"stroke-width: 1px; stroke: rgb(0, 0, 0); stroke-opacity: 0; fill: rgb(0, 0, 0); fill-opacity: 0;\"/><text class=\"annotation-text\" text-anchor=\"middle\" x=\"143.390625\" y=\"18\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 16px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre;\">Average System Time (theoretical)</text></g></g></g><g class=\"annotation\" data-index=\"3\" style=\"opacity: 1;\"><g class=\"annotation-text-g\" transform=\"rotate(0,915.45,426)\"><g class=\"cursor-pointer\" transform=\"translate(762,415)\"><rect class=\"bg\" x=\"0.5\" y=\"0.5\" width=\"305\" height=\"22\" style=\"stroke-width: 1px; stroke: rgb(0, 0, 0); stroke-opacity: 0; fill: rgb(0, 0, 0); fill-opacity: 0;\"/><text class=\"annotation-text\" text-anchor=\"middle\" x=\"153.484375\" y=\"18\" style=\"font-family: 'Open Sans', verdana, arial, sans-serif; font-size: 16px; fill: rgb(42, 63, 95); fill-opacity: 1; white-space: pre;\">Average System Time (experimental)</text></g></g></g></g></svg>"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_metrics_parameter_dependency(1, list(np.arange(1.1, 10.0, 0.1)), plot_theoretical=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}