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Solving the vehicle routing problem with time windows and multiple routes exactly using a pseudo-polynomial model

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Resumo:In this paper, we address a variant of the vehicle routing problem called the vehicle routing problem with time windows and multiple routes. It considers that a given vehicle can be assigned to more than one route per planning period. We propose a new exact algorithm for this problem. Our algorithm is iterative and it relies on a pseudo-polynomial network flow model whose nodes represent time instants, and whose arcs represent feasible vehicle routes. This algorithm was tested on a set of benchmark instances from the literature. The computational results show that our method is able to solve more instances than the only other exact method described so far in the literature, and it clearly outperforms this method in terms of computing time.
Autores principais:Macedo, Rita
Outros Autores:Alves, Cláudio; Carvalho, J. M. Valério de; Clautiaux, François; Hanafi, Said
Assunto:Integer programming Combinatorial optimizatin Combinatorial optimization Routing Network flows
Ano:2011
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso restrito
Instituição associada:Universidade do Minho
Idioma:inglês
Origem:RepositóriUM - Universidade do Minho
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author Macedo, Rita
author2 Alves, Cláudio
Carvalho, J. M. Valério de
Clautiaux, François
Hanafi, Said
author2_role author
author
author
author
author_facet Macedo, Rita
Alves, Cláudio
Carvalho, J. M. Valério de
Clautiaux, François
Hanafi, Said
author_role author
contributor_name_str_mv Universidade do Minho
country_str PT
creators_json_txt [{\"Person.name\":\"Macedo, Rita\"},{\"Person.name\":\"Alves, Cláudio\"},{\"Person.name\":\"Carvalho, J. M. Valério de\"},{\"Person.name\":\"Clautiaux, François\"},{\"Person.name\":\"Hanafi, Said\"}]
datacite.contributors.contributor.contributorName.fl_str_mv Universidade do Minho
datacite.creators.creator.creatorName.fl_str_mv Macedo, Rita
Alves, Cláudio
Carvalho, J. M. Valério de
Clautiaux, François
Hanafi, Said
datacite.date.Accepted.fl_str_mv 2011-01-01T00:00:00Z
datacite.date.available.fl_str_mv 2011-12-14T15:35:58Z
datacite.date.embargoed.fl_str_mv 2011-12-14T15:35:58Z
datacite.rights.fl_str_mv http://purl.org/coar/access_right/c_16ec
datacite.subjects.subject.fl_str_mv Integer programming
Combinatorial optimizatin
Combinatorial optimization
Routing
Network flows
datacite.titles.title.fl_str_mv Solving the vehicle routing problem with time windows and multiple routes exactly using a pseudo-polynomial model
dc.contributor.none.fl_str_mv Universidade do Minho
dc.creator.none.fl_str_mv Macedo, Rita
Alves, Cláudio
Carvalho, J. M. Valério de
Clautiaux, François
Hanafi, Said
dc.date.Accepted.fl_str_mv 2011-01-01T00:00:00Z
dc.date.available.fl_str_mv 2011-12-14T15:35:58Z
dc.date.embargoed.fl_str_mv 2011-12-14T15:35:58Z
dc.format.none.fl_str_mv application/pdf
dc.identifier.none.fl_str_mv https://hdl.handle.net/1822/15196
dc.language.none.fl_str_mv eng
dc.publisher.none.fl_str_mv Elsevier Science
dc.rights.none.fl_str_mv http://purl.org/coar/access_right/c_16ec
dc.subject.none.fl_str_mv Integer programming
Combinatorial optimizatin
Combinatorial optimization
Routing
Network flows
dc.title.fl_str_mv Solving the vehicle routing problem with time windows and multiple routes exactly using a pseudo-polynomial model
dc.type.none.fl_str_mv http://purl.org/coar/resource_type/c_6501
description In this paper, we address a variant of the vehicle routing problem called the vehicle routing problem with time windows and multiple routes. It considers that a given vehicle can be assigned to more than one route per planning period. We propose a new exact algorithm for this problem. Our algorithm is iterative and it relies on a pseudo-polynomial network flow model whose nodes represent time instants, and whose arcs represent feasible vehicle routes. This algorithm was tested on a set of benchmark instances from the literature. The computational results show that our method is able to solve more instances than the only other exact method described so far in the literature, and it clearly outperforms this method in terms of computing time.
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id rum_2d3a28f8a8ae33fe2b01db45331aec35
identifier.url.fl_str_mv https://hdl.handle.net/1822/15196
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institution Universidade do Minho
instname_str Universidade do Minho
language eng
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network_name_str RepositóriUM - Universidade do Minho
oai_identifier_str oai:repositorium.uminho.pt:1822/15196
organization_str_mv urn:organizationAcronym:repositorium
person_str_mv Macedo, Rita
Alves, Cláudio
Carvalho, J. M. Valério de
Clautiaux, François
Hanafi, Said
publishDate 2011
publisher.none.fl_str_mv Elsevier Science
reponame_str RepositóriUM - Universidade do Minho
repository_id_str urn:repositoryAcronym:rum
service_str_mv urn:repositoryAcronym:rum
spelling engElsevier ScienceporIn this paper, we address a variant of the vehicle routing problem called the vehicle routing problem with time windows and multiple routes. It considers that a given vehicle can be assigned to more than one route per planning period. We propose a new exact algorithm for this problem. Our algorithm is iterative and it relies on a pseudo-polynomial network flow model whose nodes represent time instants, and whose arcs represent feasible vehicle routes. This algorithm was tested on a set of benchmark instances from the literature. The computational results show that our method is able to solve more instances than the only other exact method described so far in the literature, and it clearly outperforms this method in terms of computing time.application/pdfporSolving the vehicle routing problem with time windows and multiple routes exactly using a pseudo-polynomial modelMacedo, RitaAlves, CláudioCarvalho, J. M. Valério deClautiaux, FrançoisHanafi, SaidHostingInstitutionOrganizationalUniversidade do Minhoe-mailmailto:repositorium@usdb.uminho.ptrepositorium@usdb.uminho.ptISSNIsPartOf0377-2217DOIIsPartOf10.1016/j.ejor.2011.04.0372011-12-14T15:35:58Z201120102011-01-01T00:00:00ZHandlehttps://hdl.handle.net/1822/15196http://purl.org/coar/access_right/c_16ecrestricted accessInteger programmingCombinatorial optimizatinCombinatorial optimizationRoutingNetwork flows678294 bytesliteraturehttp://purl.org/coar/resource_type/c_6501journal articlehttp://purl.org/coar/access_right/c_16ecapplication/pdffulltexthttps://prod-dspace.uminho.pt/bitstreams/3c6d0b2d-3f2f-4fe7-8aa9-ef6a2f8e06bf/download
spellingShingle Solving the vehicle routing problem with time windows and multiple routes exactly using a pseudo-polynomial model
Macedo, Rita
Integer programming
Combinatorial optimizatin
Combinatorial optimization
Routing
Network flows
status SINGLETON
subject.fl_str_mv Integer programming
Combinatorial optimizatin
Combinatorial optimization
Routing
Network flows
title Solving the vehicle routing problem with time windows and multiple routes exactly using a pseudo-polynomial model
title_full Solving the vehicle routing problem with time windows and multiple routes exactly using a pseudo-polynomial model
title_fullStr Solving the vehicle routing problem with time windows and multiple routes exactly using a pseudo-polynomial model
title_full_unstemmed Solving the vehicle routing problem with time windows and multiple routes exactly using a pseudo-polynomial model
title_short Solving the vehicle routing problem with time windows and multiple routes exactly using a pseudo-polynomial model
title_sort Solving the vehicle routing problem with time windows and multiple routes exactly using a pseudo-polynomial model
topic Integer programming
Combinatorial optimizatin
Combinatorial optimization
Routing
Network flows
topic_facet Integer programming
Combinatorial optimizatin
Combinatorial optimization
Routing
Network flows
url https://hdl.handle.net/1822/15196
visible 1