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)}}{\*\pnseclvl7\pnlcrm\pnstart1\pnindent720\pnhang {\pntxtb (}{\pntxta )}}{\*\pnseclvl8\pnlcltr\pnstart1\pnindent720\pnhang {\pntxtb (}{\pntxta )}}{\*\pnseclvl9\pnlcrm\pnstart1\pnindent720\pnhang {\pntxtb (}{\pntxta )}}\pard\plain \ltrpar\qc \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid8339385 \rtlch\fcs1 \af0\afs24\alang1025 \ltrch\fcs0 \fs24\lang1046\langfe1046\loch\af0\hich\af0\dbch\af38\cgrid\langnp1046\langfenp1046 {\rtlch\fcs1 \af1\afs36 \ltrch\fcs0 \f1\fs36\insrsid14036304 \hich\af1\dbch\af38\loch\f1 UNIVERSIDADE FEDERAL FLUMINENS}{\rtlch\fcs1 \af1\afs36 \ltrch\fcs0 \f1\fs36\insrsid14036304\charrsid10902280 \hich\af1\dbch\af38\loch\f1 E \par }{\rtlch\fcs1 \af1 \ltrch\fcs0 \b\f1\insrsid14036304\charrsid10902280 \par \par \par }{\rtlch\fcs1 \af1 \ltrch\fcs0 \b\f1\insrsid14036304 \par \par \par \par \par }{\rtlch\fcs1 \af1 \ltrch\fcs0 \b\f1\insrsid14036304\charrsid10902280 \par }{\rtlch\fcs1 \af1\afs28 \ltrch\fcs0 \b\f1\fs28\insrsid14036304\charrsid13916595 \hich\af1\dbch\af38\loch\f1 GUSTAVO REZENDE CARVALHO \par }{\rtlch\fcs1 \af1 \ltrch\fcs0 \b\f1\insrsid14036304 \par \par \par \par }{\rtlch\fcs1 \af1 \ltrch\fcs0 \b\f1\insrsid14036304\charrsid10902280 \par \par }{\rtlch\fcs1 \af1 \ltrch\fcs0 \b\f1\insrsid14036304 \par \par }{\rtlch\fcs1 \af1\afs32 \ltrch\fcs0 \b\f1\fs32\insrsid14036304\charrsid13776309 \hich\af1\dbch\af38\loch\f1 Um A}{\rtlch\fcs1 \af1\afs32 \ltrch\fcs0 \b\f1\fs32\insrsid14036304 \hich\af1\dbch\af38\loch\f1 lgoritmo }{\rtlch\fcs1 \af1\afs32 \ltrch\fcs0 \b\f1\fs32\insrsid14036304\charrsid13776309 \hich\af1\dbch\af38\loch\f1 \hich\f1 ILS para o Problema de Localiza\'e7\'e3\loch\f1 \hich\f1 o-Roteamento Capacitado com Dois N\'ed\loch\f1 veis \par }{\rtlch\fcs1 \af1 \ltrch\fcs0 \b\f1\insrsid14036304 \par \par \par \par }{\rtlch\fcs1 \af1 \ltrch\fcs0 \b\f1\insrsid14036304\charrsid10902280 \par }{\rtlch\fcs1 \af1 \ltrch\fcs0 \b\f1\insrsid14036304 \par \par }{\rtlch\fcs1 \af1 \ltrch\fcs0 \b\f1\insrsid14036304\charrsid10902280 \par }{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\insrsid14036304\charrsid669839 \hich\af1\dbch\af38\loch\f1 \hich\f1 Niter\'f3\loch\f1 i \par }{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\insrsid14036304 \hich\af1\dbch\af38\loch\f1 Junho}{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\insrsid14036304\charrsid669839 \hich\af1\dbch\af38\loch\f1 -201}{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\insrsid14036304 \hich\af1\dbch\af38\loch\f1 4}{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\insrsid14036304\charrsid669839 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid8339385 {\rtlch\fcs1 \af1\afs28 \ltrch\fcs0 \f1\fs28\insrsid14036304\charrsid10902280 \page \par }\pard \ltrpar\qc \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid8339385 {\rtlch\fcs1 \af1 \ltrch\fcs0 \b\f1\insrsid14036304 \hich\af1\dbch\af38\loch\f1 Resumo \par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid8339385 {\rtlch\fcs1 \af1 \ltrch\fcs0 \b\f1\insrsid14036304 \par }\pard \ltrpar\qj \fi851\li0\ri0\sl360\slmult1\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid8339385 {\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\insrsid14036304 \hich\af1\dbch\af38\loch\f1 O presente trabalho trata do Problema}{ \rtlch\fcs1 \af1 \ltrch\fcs0 \f1\insrsid14036304\charrsid11668995 \hich\af1\dbch\af38\loch\f1 de }{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\insrsid14036304 \hich\af1\dbch\af38\loch\f1 \hich\f1 Localiza\'e7\'e3\loch\f1 o-R}{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\insrsid14036304\charrsid11668995 \hich\af1\dbch\af38\loch\f1 oteamento}{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\insrsid14036304 \hich\af1\dbch\af38\loch\f1 \hich\f1 Capacitado com dois n\'ed\loch\f1 veis. }{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\insrsid14036304\charrsid11546633 \hich\af1\dbch\af38\loch\f1 \hich\f1 Em fun\'e7\'e3\loch\f1 o }{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\insrsid14036304 \hich\af1\dbch\af38\loch\f1 da elevada complexidade computacional}{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\insrsid14036304\charrsid11546633 \hich\af1\dbch\af38\loch\f1 \hich\f1 do problema, m\'e9\loch\f1 \hich\f1 todos heur\'ed\loch\f1 \hich\f1 sticos s\'e3\loch\f1 \hich\f1 o comumente utilizados para gerar solu\'e7\'f5\loch\f1 \hich\f1 es de boa qualidade em um tempo computacionalmente aceit\'e1\loch\f1 vel. Neste contexto, um procedimento baseado na meta}{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\insrsid14036304 \hich\af1\dbch\af38\loch\f1 -}{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\insrsid14036304\charrsid11546633 \hich\af1\dbch\af38\loch\f1 \hich\f1 heur\'ed\loch\f1 stica ILS (}{\rtlch\fcs1 \af1 \ltrch\fcs0 \i\f1\insrsid14036304\charrsid11546633 \hich\af1\dbch\af38\loch\f1 Iterated Local Search}{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\insrsid14036304\charrsid11546633 \hich\af1\dbch\af38\loch\f1 ) com um procedimento de busca lo\hich\af1\dbch\af38\loch\f1 cal VND (}{\rtlch\fcs1 \af1 \ltrch\fcs0 \i\f1\insrsid14036304\charrsid11546633 \hich\af1\dbch\af38\loch\f1 Variable Neighborhood Descendent)}{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\insrsid14036304\charrsid11546633 \hich\af1\dbch\af38\loch\f1 \hich\f1 \'e9\loch\f1 \hich\f1 proposto. O algoritmo foi testado em inst\'e2\loch\f1 ncias}{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\insrsid14036304 \hich\af1\dbch\af38\loch\f1 encontradas na literatura mostrando}{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\insrsid14036304\charrsid11546633 \hich\af1\dbch\af38\loch\f1 -se capaz de }{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\insrsid14036304 \hich\af1\dbch\af38\loch\f1 encontra}{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\insrsid14036304\charrsid11546633 \hich\af1\dbch\af38\loch\f1 r }{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\insrsid14036304 \hich\af1\dbch\af38\loch\f1 melhores}{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\insrsid14036304\charrsid11546633 \hich\af1\dbch\af38\loch\f1 \hich\f1 solu\'e7\'f5\loch\f1 \hich\f1 es. Al\'e9\loch\f1 m disso, }{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\insrsid14036304 \hich\af1\dbch\af38\loch\f1 \hich\f1 vers\'f5\loch\f1 es}{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\insrsid14036304\charrsid11546633 \hich\af1\dbch\af38\loch\f1 parale}{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\insrsid14036304 \hich\af1\dbch\af38\loch\f1 las do algoritmo foram implementadas}{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\insrsid14036304\charrsid11546633 \hich\af1\dbch\af38\loch\f1 }{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\insrsid14036304 \hich\af1\dbch\af38\loch\f1 para}{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\insrsid14036304\charrsid11546633 \hich\af1\dbch\af38\loch\f1 explorar }{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\insrsid14036304 \hich\af1\dbch\af38\loch\f1 todo o}{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\insrsid14036304\charrsid11546633 \hich\af1\dbch\af38\loch\f1 po\hich\af1\dbch\af38\loch\f1 tencial do algoritmo }{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\insrsid14036304 \hich\af1\dbch\af38\loch\f1 diante da }{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\insrsid14036304\charrsid11546633 \hich\af1\dbch\af38\loch\f1 \hich\f1 facilidade ao acesso a arquiteturas com v\'e1\loch\f1 \hich\f1 rios n\'fa \loch\f1 cleos de processamento. \par }\pard \ltrpar\qj \fi1080\li0\ri0\sl360\slmult1\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid8339385 {\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\insrsid14036304\charrsid11668995 \par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid8339385 {\rtlch\fcs1 \af1 \ltrch\fcs0 \b\f1\insrsid14036304 \hich\af1\dbch\af38\loch\f1 \hich\f1 Palavras chave: Localiza\'e7\'e3 \loch\f1 o, Roteamento, ILS, VND, Parallel. \par \par \par \par }\pard \ltrpar\qc \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid8339385 {\rtlch\fcs1 \af1 \ltrch\fcs0 \b\f1\lang1033\langfe1046\langnp1033\insrsid14036304\charrsid5592100 \hich\af1\dbch\af38\loch\f1 A}{\rtlch\fcs1 \af1 \ltrch\fcs0 \b\f1\lang1033\langfe1046\langnp1033\insrsid14036304 \hich\af1\dbch\af38\loch\f1 bstract}{\rtlch\fcs1 \af1 \ltrch\fcs0 \b\f1\lang1033\langfe1046\langnp1033\insrsid14036304\charrsid5592100 \par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid8339385 {\rtlch\fcs1 \af1 \ltrch\fcs0 \b\f1\lang1033\langfe1046\langnp1033\insrsid14036304\charrsid5592100 \par }\pard \ltrpar\qj \fi851\li0\ri0\sl360\slmult1\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid8339385 {\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\lang1033\langfe1046\langnp1033\insrsid14036304\charrsid11668995 \hich\af1\dbch\af38\loch\f1 The present }{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\lang1033\langfe1046\langnp1033\insrsid14036304 \hich\af1\dbch\af38\loch\f1 work deals with the Capacitated Location-Routing Problem with Two Layers.}{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\lang1033\langfe1046\langnp1033\insrsid14036304\charrsid11668995 \hich\af1\dbch\af38\loch\f1 Due the }{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\lang1033\langfe1046\langnp1033\insrsid14036304 \hich\af1\dbch\af38\loch\f1 high computational complexity}{ \rtlch\fcs1 \af1 \ltrch\fcs0 \f1\lang1033\langfe1046\langnp1033\insrsid14036304\charrsid11668995 \hich\af1\dbch\af38\loch\f1 of the problem, heuristics are commonly used to generate good quality solutions in a computational}{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\lang1033\langfe1046\langnp1033\insrsid14036304 \hich\af1\dbch\af38\loch\f1 ly}{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\lang1033\langfe1046\langnp1033\insrsid14036304\charrsid11668995 \hich\af1\dbch\af38\loch\f1 acceptable time.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1046\langnp1033\insrsid14036304\charrsid11668995 \hich\af0\dbch\af38\loch\f0 }{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\lang1033\langfe1046\langnp1033\insrsid14036304\charrsid11668995 \hich\af1\dbch\af38\loch\f1 In this context, }{ \rtlch\fcs1 \af1 \ltrch\fcs0 \f1\lang1033\langfe1046\langnp1033\insrsid14036304 \hich\af1\dbch\af38\loch\f1 a procedu\hich\af1\dbch\af38\loch\f1 re based on ILS (Iterated Local Search) with VND }{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\lang1033\langfe1046\langnp1033\insrsid14036304\charrsid14753653 \hich\af1\dbch\af38\loch\f1 (Variable Neighborhood Descendent)}{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\lang1033\langfe1046\langnp1033\insrsid14036304 \hich\af1\dbch\af38\loch\f1 local search is proposed. }{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\lang1033\langfe1046\langnp1033\insrsid14036304\charrsid11668995 \hich\af1\dbch\af38\loch\f1 The algorithm }{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\lang1033\langfe1046\langnp1033\insrsid14036304 \hich\af1\dbch\af38\loch\f1 has been}{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\lang1033\langfe1046\langnp1033\insrsid14036304\charrsid11668995 \hich\af1\dbch\af38\loch\f1 tested in benchmark problem}{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\lang1033\langfe1046\langnp1033\insrsid14036304 \hich\af1\dbch\af38\loch\f1 s found in the literature and was able to find better solutions. Furthermore, parallel versions \hich\af1\dbch\af38\loch\f1 were implemented to explore all the potential of the algorithm due to the easy accessibility to multi-core architectures.}{\rtlch\fcs1 \af1 \ltrch\fcs0 \f1\lang1033\langfe1046\langnp1033\insrsid14036304\charrsid11668995 \par }\pard \ltrpar\qj \li0\ri0\sl360\slmult1\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid8339385 {\rtlch\fcs1 \af1 \ltrch\fcs0 \b\f1\lang1033\langfe1046\langnp1033\insrsid14036304\charrsid13650940 \par }{\rtlch\fcs1 \af1 \ltrch\fcs0 \b\f1\lang1033\langfe1046\langnp1033\insrsid14036304\charrsid9446564 \hich\af1\dbch\af38\loch\f1 Key words}{\rtlch\fcs1 \af1 \ltrch\fcs0 \b\f1\lang1033\langfe1046\langnp1033\insrsid14036304 \hich\af1\dbch\af38\loch\f1 : Location, Routing, ILS, VND, Parallel. \par }\pard \ltrpar\ql \li0\ri0\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\rtlch\fcs1 \af0 \ltrch\fcs0 \lang1033\langfe1046\langnp1033\insrsid14036304\charrsid8339385 \par }}