NIH.ipynb

{
  "metadata": {
    "language_info": {
      "codemirror_mode": {
        "name": "python",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.8"
    },
    "kernelspec": {
      "name": "python",
      "display_name": "Pyolite",
      "language": "python"
    }
  },
  "nbformat_minor": 4,
  "nbformat": 4,
  "cells": [
    {
      "cell_type": "code",
      "source": "#%%\n# Student Name: Pedro David Rodríguez Garrido-1905447\nimport numpy as np\nimport matplotlib.pyplot as plt\n\n# Declare data\nU = [1,2,3,4,5,6,7,8]\npoints = np.array([[86,37],[17,94],[3,65],[48,43],[78,70],[17,55],[62,91],[78,91]])\ndistances = np.array([['1-2',89],['1-3',87],['1-4',38],['1-5',33],['1-6',71],['1-7',59],['1-8',54],['2-3',32],['2-4',59],['2-5',65],['2-6',39],['2-7',45],['2-8',61],['3-4',50],['3-5',75],\n                      ['3-6',17],['3-7',64],['3-8',79],['4-5',40],['4-6',33],['4-7',50],['4-8',56],['5-6',62],['5-7',26],['5-8',21],['6-7',57],['6-8',70],['7-8',16]])\n\n# Show starting points\ndef showSP():\n    plt.scatter(points[:, 0], points[:, 1], c='blue', s=20)\n    for i in range(len(points)):\n        plt.annotate(i+1, points[i])\n    plt.show()",
      "metadata": {
        "trusted": true
      },
      "execution_count": 1,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": "# Determine initial subtour\nminD = min(distances[:, 1])\nlocateIS = np.argwhere(distances[:, 1] == minD)\nsPoints = distances[locateIS[0], 0]\nT = sPoints[0].split(\"-\")\nfor i in range(len(T)):\n    T[i] = int(T[i])\n    U.remove(T[i])",
      "metadata": {
        "trusted": true
      },
      "execution_count": 2,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": "# Calculating the average distance of all the unvisited cities\ndef distanceC(T,U):\n    gmin_d = []\n    for i in range(len(U)):\n        dsubtour_point = []\n        for j in range(len(T)):\n            if int(T[j]) < int(U[i]):\n                dtt = str(T[j])+'-'+str(U[i])\n            else:\n                dtt = str(U[i])+'-'+str(T[j])\n            pg = np.argwhere(distances[:, 0] == dtt)\n            gd = distances[pg[0], 1]\n            dsubtour_point.append(gd[0])\n        # Calculating distance\n        s = 0\n        for distance in range(len(dsubtour_point)):\n            s += int(dsubtour_point[distance])\n        fd_sp = s/(len(T))\n        gmin_d.append([fd_sp, U[i]])\n    # Get minimum distance\n    min_dcity = min(gmin_d)\n    cityToAdd = min_dcity[1]\n    print(\"The city to add is number: \"+str(cityToAdd))\n    return cityToAdd",
      "metadata": {
        "trusted": true
      },
      "execution_count": 3,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": "# Calculating the cost of insertion\ndef costOfInsertion(cityToAdd):\n    print('Previous subtour: '+str(T))\n    costs = []\n    for i in range(len(T)):\n        T.insert(i+1,cityToAdd)\n        # Distance between previous city to the added city\n        if int(T[i]) < int(cityToAdd):\n            dtt = str(T[i])+'-'+str(cityToAdd)\n        else:\n            dtt = str(cityToAdd)+'-'+str(T[i])\n        pg = np.argwhere(distances[:, 0] == dtt)\n        pd = distances[pg[0], 1]\n        # Distance between next city and the added city\n        try: \n            if int(T[i+2]) < int(cityToAdd):\n                dtt = str(T[i+2])+'-'+str(cityToAdd)\n            else:\n                dtt = str(cityToAdd)+'-'+str(T[i+2])\n        except:\n            if int(T[0]) < int(cityToAdd):\n                dtt = str(T[0])+'-'+str(cityToAdd)\n            else:\n                dtt = str(cityToAdd)+'-'+str(T[0])\n        ng = np.argwhere(distances[:, 0] == dtt)\n        nd = distances[ng[0], 1]\n        # Distance between previous and next city\n        try:\n            ncity = T[i+2]\n        except:\n            ncity = T[0]\n        if int(T[i]) < int(ncity):\n            dtt = str(T[i])+'-'+str(ncity)\n        else:\n            dtt = str(ncity)+'-'+str(T[i])\n        pn = np.argwhere(distances[:, 0] == dtt)\n        pnd = distances[pn[0], 1]\n        costs.append(int(int(pd)+int(nd)-int(pnd)))\n        T.remove(cityToAdd)\n    T.insert(costs.index(min(costs))+1,cityToAdd)\n    print('New subtour: '+str(T))",
      "metadata": {
        "trusted": true
      },
      "execution_count": 4,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": "# Graphing the lines of the subtour\ndef sPlot(T):\n    fig = plt.figure()\n    ax = fig.add_subplot(111)\n    ax.scatter(points[:, 0], points[:, 1], c='blue', s=20)\n    for i in range(len(points)):\n        plt.annotate(i+1, points[i])\n    nCitySubtour = len(T)-1\n    for i in range(nCitySubtour):\n        try:\n            x1, y1, x2, y2 = points[T[i]-1, 0],points[T[i]-1, 1],points[(T[i+1]-1), 0],points[(T[i+1]-1), 1]\n        except:\n            pass\n        ax.plot([x1,x2], [y1,y2])\n    spx, spy = points[T[0]-1, 0], points[T[0]-1, 1]\n    npx, npy = points[T[nCitySubtour]-1, 0], points[T[nCitySubtour]-1, 1]\n    ax.plot([spx,npx],[spy,npy])\n    plt.title('Subtour: '+str(T))\n    plt.show()",
      "metadata": {
        "trusted": true
      },
      "execution_count": 5,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": "def newTandU():\n    for i in range(len(T)):\n        try:\n            U.remove(T[i])\n        except:\n            pass\n    if len(U)!=0:\n        print('New U: '+str(U))\n    else:\n        print('Final Tour:' +str(T))",
      "metadata": {
        "trusted": true
      },
      "execution_count": 6,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": "# Main\niteration = 1\nprint('\\nCities')\nshowSP()\nprint('\\nInitial Subtour')\nsPlot(T)\nwhile len(U)!=0:\n    print('\\nIteration: '+str(iteration))\n    costOfInsertion(distanceC(T,U))\n    sPlot(T)\n    newTandU()\n    iteration = iteration + 1",
      "metadata": {
        "trusted": true
      },
      "execution_count": 7,
      "outputs": [
        {
          "name": "stdout",
          "text": "\nCities\n",
          "output_type": "stream"
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<pyolite.display.Image at 0x2b07950>",
            "image/png": 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"
          },
          "metadata": {}
        },
        {
          "name": "stdout",
          "text": "\nInitial Subtour\n",
          "output_type": "stream"
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<pyolite.display.Image at 0x2f987f8>",
            "image/png": 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"
          },
          "metadata": {}
        },
        {
          "name": "stdout",
          "text": "\nIteration: 1\nThe city to add is number: 5\nPrevious subtour: [7, 8]\nNew subtour: [7, 5, 8]\n",
          "output_type": "stream"
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<pyolite.display.Image at 0x3648ed0>",
            "image/png": 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"
          },
          "metadata": {}
        },
        {
          "name": "stdout",
          "text": "New U: [1, 2, 3, 4, 6]\n\nIteration: 2\nThe city to add is number: 1\nPrevious subtour: [7, 5, 8]\nNew subtour: [7, 1, 5, 8]\n",
          "output_type": "stream"
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<pyolite.display.Image at 0x2f2a670>",
            "image/png": 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"
          },
          "metadata": {}
        },
        {
          "name": "stdout",
          "text": "New U: [2, 3, 4, 6]\n\nIteration: 3\nThe city to add is number: 4\nPrevious subtour: [7, 1, 5, 8]\nNew subtour: [7, 4, 1, 5, 8]\n",
          "output_type": "stream"
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<pyolite.display.Image at 0x36354b0>",
            "image/png": 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"
          },
          "metadata": {}
        },
        {
          "name": "stdout",
          "text": "New U: [2, 3, 6]\n\nIteration: 4\nThe city to add is number: 6\nPrevious subtour: [7, 4, 1, 5, 8]\nNew subtour: [7, 6, 4, 1, 5, 8]\n",
          "output_type": "stream"
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<pyolite.display.Image at 0x20fb1b8>",
            "image/png": 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"
          },
          "metadata": {}
        },
        {
          "name": "stdout",
          "text": "New U: [2, 3]\n\nIteration: 5\nThe city to add is number: 2\nPrevious subtour: [7, 6, 4, 1, 5, 8]\nNew subtour: [7, 2, 6, 4, 1, 5, 8]\n",
          "output_type": "stream"
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<pyolite.display.Image at 0x2f4c840>",
            "image/png": 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"
          },
          "metadata": {}
        },
        {
          "name": "stdout",
          "text": "New U: [3]\n\nIteration: 6\nThe city to add is number: 3\nPrevious subtour: [7, 2, 6, 4, 1, 5, 8]\nNew subtour: [7, 2, 3, 6, 4, 1, 5, 8]\n",
          "output_type": "stream"
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<pyolite.display.Image at 0x2ffc378>",
            "image/png": 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"
          },
          "metadata": {}
        },
        {
          "name": "stdout",
          "text": "Final Tour:[7, 2, 3, 6, 4, 1, 5, 8]\n",
          "output_type": "stream"
        }
      ]
    },
    {
      "cell_type": "code",
      "source": "",
      "metadata": {},
      "execution_count": null,
      "outputs": []
    }
  ]
}