\relax \citation{Zhuk} \@writefile{toc}{\contentsline {title}{Approximating the non-contiguous Multiple Organization Packing Problem}{1}} \@writefile{toc}{\authcount {5}} \@writefile{toc}{\contentsline {author}{Marin Bougeret\unskip {}\unskip {} \and Pierre Fran\c cois Dutot\unskip {} \and Klaus Jansen\unskip {} \and Christina Otte\unskip {} \and Denis Trystram\unskip {}}{1}} \@writefile{toc}{\contentsline {section}{\numberline {1}Problem statement}{1}} \citation{DBLP:journals/siamcomp/CoffmanGJT80} \citation{schiermeyer1994reverse} \citation{Steinberg} \citation{kenyon2000near} \citation{DBLP:conf/mfcs/JansenS07} \citation{OnlineMSP} \citation{2_approx_MSP} \citation{graham_resource_constraint} \citation{schwiegelshohn2008osg} \citation{MOCCAconcurrency08} \citation{dutot_mounie_trystram_handbook} \@writefile{toc}{\contentsline {paragraph}{Related works.}{2}} \@writefile{toc}{\contentsline {paragraph}{Our contribution.}{2}} \@writefile{toc}{\contentsline {paragraph}{Organization of the Paper.}{2}} \citation{q|_|cmax_ptas_3/2dual} \@writefile{toc}{\contentsline {section}{\numberline {2}Principle and definitions}{3}} \newlabel{sec:definitions}{{2}{3}} \@writefile{toc}{\contentsline {section}{\numberline {3}Construction of the preallocation}{4}} \newlabel{sec:algo_prealloc}{{3}{4}} \@writefile{toc}{\contentsline {subsection}{\numberline {3.1}Phase 1}{4}} \newlabel{sec:phase1}{{3.1}{4}} \newlabel{lemme:phase1}{{1}{4}} \@writefile{toc}{\contentsline {subsection}{\numberline {3.2}Phase 2}{5}} \newlabel{sec:phase2}{{3.2}{5}} \@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces An example of pre-allocation}}{6}} \newlabel{fig:ex_prealloc}{{1}{6}} \@writefile{toc}{\contentsline {subsection}{\numberline {3.3}Phase 3}{6}} \newlabel{sec:phase3}{{3.3}{6}} \newlabel{lemma:best_fit}{{2}{7}} \newlabel{lemme:phase3}{{3}{7}} \@writefile{toc}{\contentsline {subsection}{\numberline {3.4}Main algorithm}{7}} \newlabel{sec:main_alg}{{3.4}{7}} \newlabel{a:Build_Prealloc}{{1}{8}} \@writefile{toc}{\contentsline {section}{\numberline {4}From the preallocation to the final schedule}{9}} \newlabel{sec:using_prealloc}{{4}{9}} \newlabel{lemme:reconstruction}{{4}{10}} \newlabel{theorem:reconstruction2}{{2}{10}} \@writefile{toc}{\contentsline {section}{\numberline {5}Complexity}{10}} \newlabel{sec:complexity}{{5}{10}} \@writefile{toc}{\contentsline {section}{\numberline {6}Toward better approximation ratios}{11}} \newlabel{sec:discussion}{{6}{11}} \bibstyle{ieeetr} \bibdata{biblio_TCS10} \bibcite{Zhuk}{1} \bibcite{DBLP:journals/siamcomp/CoffmanGJT80}{2} \bibcite{schiermeyer1994reverse}{3} \bibcite{Steinberg}{4} \bibcite{kenyon2000near}{5} \bibcite{DBLP:conf/mfcs/JansenS07}{6} \bibcite{OnlineMSP}{7} \bibcite{2_approx_MSP}{8} \bibcite{graham_resource_constraint}{9} \bibcite{schwiegelshohn2008osg}{10} \bibcite{MOCCAconcurrency08}{11} \bibcite{dutot_mounie_trystram_handbook}{12} \bibcite{q|_|cmax_ptas_3/2dual}{13}