Solving a multicoloring problem with overlaps using integer programming

Autores
Méndez-Díaz, I.; Zabala, P.
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This paper presents a new generalization of the graph multicoloring problem. We propose a Branch-and-Cut algorithm based on a new integer programming formulation. The cuts used are valid inequalities that we could identify to the polytope associated with the model. The Branch-and-Cut system includes separation heuristics for the valid inequalities, specific initial and primal heuristics, branching and pruning rules. We report on computational experience with random instances. © 2009 Elsevier B.V. All rights reserved.
Fil:Méndez-Díaz, I. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fil:Zabala, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fuente
Discrete Appl Math 2010;158(4):349-354
Materia
Branch-and-Cut
Graph multicoloring
Integer programming
Branch-and-cut
Branch-and-cut algorithms
Graph multicoloring
Integer programming formulations
Multicoloring
Polytopes
Random instance
Valid inequality
Dynamic programming
Heuristic methods
Integer programming
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/2.5/ar
Repositorio
Biblioteca Digital (UBA-FCEN)
Institución
Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
OAI Identificador
paperaa:paper_0166218X_v158_n4_p349_MendezDiaz
Acceder
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oai_identifier_str paperaa:paper_0166218X_v158_n4_p349_MendezDiaz
network_acronym_str BDUBAFCEN
repository_id_str 1896
network_name_str Biblioteca Digital (UBA-FCEN)
spelling Solving a multicoloring problem with overlaps using integer programmingMéndez-Díaz, I.Zabala, P.Branch-and-CutGraph multicoloringInteger programmingBranch-and-cutBranch-and-cut algorithmsGraph multicoloringInteger programming formulationsMulticoloringPolytopesRandom instanceValid inequalityDynamic programmingHeuristic methodsInteger programmingThis paper presents a new generalization of the graph multicoloring problem. We propose a Branch-and-Cut algorithm based on a new integer programming formulation. The cuts used are valid inequalities that we could identify to the polytope associated with the model. The Branch-and-Cut system includes separation heuristics for the valid inequalities, specific initial and primal heuristics, branching and pruning rules. We report on computational experience with random instances. © 2009 Elsevier B.V. All rights reserved.Fil:Méndez-Díaz, I. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.Fil:Zabala, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.2010info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://hdl.handle.net/20.500.12110/paper_0166218X_v158_n4_p349_MendezDiazDiscrete Appl Math 2010;158(4):349-354reponame:Biblioteca Digital (UBA-FCEN)instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesinstacron:UBA-FCENenginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/2.5/ar2025-09-29T13:43:03Zpaperaa:paper_0166218X_v158_n4_p349_MendezDiazInstitucionalhttps://digital.bl.fcen.uba.ar/Universidad públicaNo correspondehttps://digital.bl.fcen.uba.ar/cgi-bin/oaiserver.cgiana@bl.fcen.uba.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:18962025-09-29 13:43:04.441Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesfalse
dc.title.none.fl_str_mv Solving a multicoloring problem with overlaps using integer programming
title Solving a multicoloring problem with overlaps using integer programming
spellingShingle Solving a multicoloring problem with overlaps using integer programming
Méndez-Díaz, I.
Branch-and-Cut
Graph multicoloring
Integer programming
Branch-and-cut
Branch-and-cut algorithms
Graph multicoloring
Integer programming formulations
Multicoloring
Polytopes
Random instance
Valid inequality
Dynamic programming
Heuristic methods
Integer programming
title_short Solving a multicoloring problem with overlaps using integer programming
title_full Solving a multicoloring problem with overlaps using integer programming
title_fullStr Solving a multicoloring problem with overlaps using integer programming
title_full_unstemmed Solving a multicoloring problem with overlaps using integer programming
title_sort Solving a multicoloring problem with overlaps using integer programming
dc.creator.none.fl_str_mv Méndez-Díaz, I.
Zabala, P.
author Méndez-Díaz, I.
author_facet Méndez-Díaz, I.
Zabala, P.
author_role author
author2 Zabala, P.
author2_role author
dc.subject.none.fl_str_mv Branch-and-Cut
Graph multicoloring
Integer programming
Branch-and-cut
Branch-and-cut algorithms
Graph multicoloring
Integer programming formulations
Multicoloring
Polytopes
Random instance
Valid inequality
Dynamic programming
Heuristic methods
Integer programming
topic Branch-and-Cut
Graph multicoloring
Integer programming
Branch-and-cut
Branch-and-cut algorithms
Graph multicoloring
Integer programming formulations
Multicoloring
Polytopes
Random instance
Valid inequality
Dynamic programming
Heuristic methods
Integer programming
dc.description.none.fl_txt_mv This paper presents a new generalization of the graph multicoloring problem. We propose a Branch-and-Cut algorithm based on a new integer programming formulation. The cuts used are valid inequalities that we could identify to the polytope associated with the model. The Branch-and-Cut system includes separation heuristics for the valid inequalities, specific initial and primal heuristics, branching and pruning rules. We report on computational experience with random instances. © 2009 Elsevier B.V. All rights reserved.
Fil:Méndez-Díaz, I. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fil:Zabala, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
description This paper presents a new generalization of the graph multicoloring problem. We propose a Branch-and-Cut algorithm based on a new integer programming formulation. The cuts used are valid inequalities that we could identify to the polytope associated with the model. The Branch-and-Cut system includes separation heuristics for the valid inequalities, specific initial and primal heuristics, branching and pruning rules. We report on computational experience with random instances. © 2009 Elsevier B.V. All rights reserved.
publishDate 2010
dc.date.none.fl_str_mv 2010
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.12110/paper_0166218X_v158_n4_p349_MendezDiaz
url http://hdl.handle.net/20.500.12110/paper_0166218X_v158_n4_p349_MendezDiaz
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/2.5/ar
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/2.5/ar
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv Discrete Appl Math 2010;158(4):349-354
reponame:Biblioteca Digital (UBA-FCEN)
instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron:UBA-FCEN
reponame_str Biblioteca Digital (UBA-FCEN)
collection Biblioteca Digital (UBA-FCEN)
instname_str Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron_str UBA-FCEN
institution UBA-FCEN
repository.name.fl_str_mv Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
repository.mail.fl_str_mv ana@bl.fcen.uba.ar
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score 13.070432

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