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ProjectAAH.aux
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\relax
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\citation{ameur2004}
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\@writefile{toc}{\contentsline {subsection}{\numberline {3.1}Simulated Annealing Algorithm Pseudocode}{13}}
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\citation{ameur2004}
\citation{ameur2004}
\citation{ameur2004}
\citation{ameur2004}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.2}Choice of the Initial Temperature}{14}}
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\citation{ameur2004}
\citation{ameur2004}
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\@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces The initial temperatures generated by the algorithm by \citet {ameur2004}, using 100 realisations per $n$ and $m$, processing times between 1 and 100, and the random initial solution.\relax }}{16}}
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\newlabel{fig:Q3InitSol}{{8}{21}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.4}Comparison to GLS and VDS}{22}}
\newlabel{subsec:SimAnn_Comp}{{3.4}{22}}
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\newlabel{subsec:SimAnn_Limit}{{3.5}{22}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {3.5.1}Engineering Poor Input Instances}{23}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {3.5.2}Results of Performance Limits Experiments}{24}}
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\newlabel{fig:Q3Limit}{{9}{25}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.6}Methods of Determining Solution Quality}{26}}
\newlabel{subsec:SolQual}{{3.6}{26}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {3.6.1}Other measures of solution quality}{26}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {3.6.2}Constraint Programming}{26}}
\@writefile{tdo}{\contentsline {todo}{Check approximation ratio GMS!!! It should be 2}{26}}
\pgfsyspdfmark {pgfid30}{19562754}{23548014}
\@writefile{tdo}{\contentsline {todo}{Detail on true implementation of MP, in bash?}{26}}
\pgfsyspdfmark {pgfid31}{19562754}{22208896}
\@writefile{tdo}{\contentsline {todo}{*insert table with 100\% in all entries here*}{26}}
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\newlabel{tab:Q3FinalResultsSFig1}{{\caption@xref {tab:Q3FinalResultsSFig1}{ on input line 818}}{26}}
\newlabel{sub@tab:Q3FinalResultsSFig1}{{}{26}}
\@writefile{lot}{\contentsline {table}{\numberline {1}{\ignorespaces The average ratio minus 1 of our simulated annealing solution to the optimal solution (by CP), for instances that were solved to optimality within 5 minutes.\relax }}{26}}
\newlabel{tab:Q3FinalResults}{{1}{26}}
\@writefile{toc}{\contentsline {section}{\numberline {4}Conclusion}{27}}
\bibdata{references}
\bibcite{ameur2004}{{1}{2004}{{Ben-Ameur}}{{}}}
\bibstyle{apalike}
\@writefile{toc}{\contentsline {section}{\numberline {5}Appendix}{29}}
\newlabel{tab:Q1ck=1makespangap}{{2a}{29}}
\newlabel{sub@tab:Q1ck=1makespangap}{{a}{29}}
\newlabel{tab:Q1ck=1runtime}{{2b}{29}}
\newlabel{sub@tab:Q1ck=1runtime}{{b}{29}}
\newlabel{tab:Q1ck=2makespangap}{{2c}{29}}
\newlabel{sub@tab:Q1ck=2makespangap}{{c}{29}}
\newlabel{tab:Q1ck=2runtime}{{2d}{29}}
\newlabel{sub@tab:Q1ck=2runtime}{{d}{29}}
\newlabel{tab:Q1ck=3makespangap}{{2e}{29}}
\newlabel{sub@tab:Q1ck=3makespangap}{{e}{29}}
\newlabel{tab:Q1ck=3runtime}{{2f}{29}}
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\@writefile{lot}{\contentsline {table}{\numberline {2}{\ignorespaces GLS Experiments: $k=1,2,3$, using a random initial solution. The makespan gap is given in \% and the run time in seconds.\relax }}{29}}
\newlabel{tab:Q1c}{{2}{29}}
\newlabel{tab:Q1dmakespangapRandom}{{3a}{30}}
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\newlabel{tab:Q1druntimeRandom}{{3b}{30}}
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\newlabel{tab:Q1dmakespangapGMS}{{3c}{30}}
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\newlabel{tab:Q1druntimeGMS}{{3d}{30}}
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\@writefile{lot}{\contentsline {table}{\numberline {3}{\ignorespaces Experiments GLS: k=2, using random and GMS initial solution. The makespan gap is given in \% and the run time in seconds.\relax }}{30}}
\newlabel{tab:Q1d}{{3}{30}}
\newlabel{tab:Q2dmakespangapRandom}{{4a}{31}}
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\@writefile{lot}{\contentsline {table}{\numberline {4}{\ignorespaces Experiments VDS: k=2, using random and GMS initial solution. The makespan gap is given in \% and the run time in seconds.\relax }}{31}}
\newlabel{tab:Q2d}{{4}{31}}
\citation{ameur2004}
\citation{ameur2004}
\newlabel{tab:Q3InitialTemp}{{\caption@xref {tab:Q3InitialTemp}{ on input line 1266}}{32}}
\newlabel{sub@tab:Q3InitialTemp}{{}{32}}
\@writefile{lot}{\contentsline {table}{\numberline {5}{\ignorespaces Simulated Annealing Experiments for determining the initial temperature, using the algorithm by \citet {ameur2004}. The temperature values are shown in the table and are the average result of 100 runs of the algorithm per combination of $n$ and $m$.\relax }}{32}}
\newlabel{tab:Q3InitialTemp}{{5}{32}}
\newlabel{tab:Q3CoolingExpMultmakespangap}{{6a}{32}}
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\newlabel{tab:Q3Cooling}{{6}{32}}
\newlabel{tab:Q3CoolingLinmultmakespangap}{{7a}{33}}
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\@writefile{lot}{\contentsline {table}{\numberline {7}{\ignorespaces Simulated Annealing Experiments, using the quadratic multiplicative cooling schedule with a random initial solution. The makespan gap is given in \% and the run time in seconds.\relax }}{33}}
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\@writefile{lot}{\contentsline {table}{\numberline {8}{\ignorespaces Experiments Simulated Annealing: k=2, using random and GMS initial solution. The makespan gap is given in \% and the run time in seconds.\relax }}{34}}
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