36 lines
3.2 KiB
TeX
36 lines
3.2 KiB
TeX
\relax
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\@writefile{toc}{\contentsline {section}{\numberline {1}Introduction}{1}{}\protected@file@percent }
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\@writefile{toc}{\contentsline {subsection}{\numberline {1.1}Context}{1}{}\protected@file@percent }
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\@writefile{toc}{\contentsline {subsection}{\numberline {1.2}Formal description of the problem}{1}{}\protected@file@percent }
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\newlabel{eq:optimal}{{{OPT}}{1}}
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\@writefile{toc}{\contentsline {section}{\numberline {2}Properties of an optimal 3-strict assignment}{2}{}\protected@file@percent }
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\@writefile{toc}{\contentsline {subsection}{\numberline {2.1}Optimal assignment}{2}{}\protected@file@percent }
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\newlabel{sec:opt_assign}{{2.1}{2}}
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\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces On the left, the creation of a concrete assignment with the naive approach of repeating tokens. On the right, the zones containing the nodes.}}{4}{}\protected@file@percent }
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\@writefile{toc}{\contentsline {subsection}{\numberline {2.2}Minimal transfer}{5}{}\protected@file@percent }
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\newlabel{hyp:A}{{{H3A}}{5}}
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\newlabel{hyp:B}{{{H3B}}{5}}
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\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces Flow problem to compute and optimal assignment.}}{5}{}\protected@file@percent }
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\@writefile{toc}{\contentsline {subsubsection}{\numberline {A)}Minimizing the zone discrepancy}{6}{}\protected@file@percent }
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\@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces On the left: the graph $G_T$ encoding an assignment to minimize the zone discrepancy. On the right: the graph $G_T$ encoding an assignment to minimize the node discrepancy.}}{7}{}\protected@file@percent }
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\@writefile{toc}{\contentsline {subsubsection}{\numberline {B)}Minimizing the node discrepancy}{8}{}\protected@file@percent }
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\@writefile{toc}{\contentsline {subsubsection}{\numberline {C)}Linear combination of both criteria}{9}{}\protected@file@percent }
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\@writefile{toc}{\contentsline {subsection}{\numberline {2.3}Algorithm}{9}{}\protected@file@percent }
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\@writefile{loa}{\contentsline {algorithm}{\numberline {1}{\ignorespaces Optimal 3-strict assignment}}{9}{}\protected@file@percent }
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\newlabel{alg:total}{{1}{9}}
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\@writefile{loa}{\contentsline {algorithm}{\numberline {2}{\ignorespaces Computation of the optimal utilization}}{10}{}\protected@file@percent }
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\newlabel{alg:util}{{2}{10}}
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\newlabel{lin:subutil}{{2}{10}}
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\newlabel{lin:loopsub}{{3}{10}}
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\newlabel{lin:findmin}{{4}{10}}
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\@writefile{loa}{\contentsline {algorithm}{\numberline {3}{\ignorespaces Computation of a candidate assignment}}{11}{}\protected@file@percent }
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\newlabel{alg:opt}{{3}{11}}
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\@writefile{loa}{\contentsline {algorithm}{\numberline {4}{\ignorespaces Minimization of the number of transfers}}{11}{}\protected@file@percent }
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\newlabel{alg:mini}{{4}{11}}
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\newlabel{lin:repeat}{{3}{11}}
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\@writefile{toc}{\contentsline {section}{\numberline {3}Computation of a 3-non-strict assignment}{11}{}\protected@file@percent }
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\@writefile{toc}{\contentsline {subsection}{\numberline {3.1}Choices of optimality}{11}{}\protected@file@percent }
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\@writefile{toc}{\contentsline {subsection}{\numberline {3.2}Computation of a candidate assignment}{11}{}\protected@file@percent }
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\@writefile{toc}{\contentsline {subsection}{\numberline {3.3}Maximal spread and minimal transfers}{12}{}\protected@file@percent }
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\gdef \@abspage@last{13}
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