A model-based heuristic for the irregular strip packing problem

Detalhes bibliográficos
Autor(a) principal: Cherri,LH
Data de Publicação: 2016
Outros Autores: Maria Antónia Carravilla, Toledo,FMB
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://repositorio.inesctec.pt/handle/123456789/5763
http://dx.doi.org/10.1590/0101-7438.2016.036.03.0447
Resumo: The irregular strip packing problem is a common variant of cutting and packing problems. Only a few exact methods have been proposed to solve this problem in the literature. However, several heuristics have been proposed to solve it. Despite the number of proposed heuristics, only a few methods that combine exact and heuristic approaches to solve the problem can be found in the literature. In this paper, a matheuristic is proposed to solve the irregular strip packing problem. The method has three phases in which exact mixed integer programming models from the literature are used to solve the sub-problems. The results show that the matheuristic is less dependent on the instance size and finds equal or better solutions in 87,5% of the cases in shorter computational times compared with the results of other models in the literature. Furthermore, the matheuristic is faster than other heuristics from the literature. © 2016 Brazilian Operations Research Society.
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spelling A model-based heuristic for the irregular strip packing problemThe irregular strip packing problem is a common variant of cutting and packing problems. Only a few exact methods have been proposed to solve this problem in the literature. However, several heuristics have been proposed to solve it. Despite the number of proposed heuristics, only a few methods that combine exact and heuristic approaches to solve the problem can be found in the literature. In this paper, a matheuristic is proposed to solve the irregular strip packing problem. The method has three phases in which exact mixed integer programming models from the literature are used to solve the sub-problems. The results show that the matheuristic is less dependent on the instance size and finds equal or better solutions in 87,5% of the cases in shorter computational times compared with the results of other models in the literature. Furthermore, the matheuristic is faster than other heuristics from the literature. © 2016 Brazilian Operations Research Society.2018-01-09T11:40:32Z2016-01-01T00:00:00Z2016info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://repositorio.inesctec.pt/handle/123456789/5763http://dx.doi.org/10.1590/0101-7438.2016.036.03.0447engCherri,LHMaria Antónia CarravillaToledo,FMBinfo:eu-repo/semantics/embargoedAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-05-15T10:19:42Zoai:repositorio.inesctec.pt:123456789/5763Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:52:07.528716Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv A model-based heuristic for the irregular strip packing problem
title A model-based heuristic for the irregular strip packing problem
spellingShingle A model-based heuristic for the irregular strip packing problem
Cherri,LH
title_short A model-based heuristic for the irregular strip packing problem
title_full A model-based heuristic for the irregular strip packing problem
title_fullStr A model-based heuristic for the irregular strip packing problem
title_full_unstemmed A model-based heuristic for the irregular strip packing problem
title_sort A model-based heuristic for the irregular strip packing problem
author Cherri,LH
author_facet Cherri,LH
Maria Antónia Carravilla
Toledo,FMB
author_role author
author2 Maria Antónia Carravilla
Toledo,FMB
author2_role author
author
dc.contributor.author.fl_str_mv Cherri,LH
Maria Antónia Carravilla
Toledo,FMB
description The irregular strip packing problem is a common variant of cutting and packing problems. Only a few exact methods have been proposed to solve this problem in the literature. However, several heuristics have been proposed to solve it. Despite the number of proposed heuristics, only a few methods that combine exact and heuristic approaches to solve the problem can be found in the literature. In this paper, a matheuristic is proposed to solve the irregular strip packing problem. The method has three phases in which exact mixed integer programming models from the literature are used to solve the sub-problems. The results show that the matheuristic is less dependent on the instance size and finds equal or better solutions in 87,5% of the cases in shorter computational times compared with the results of other models in the literature. Furthermore, the matheuristic is faster than other heuristics from the literature. © 2016 Brazilian Operations Research Society.
publishDate 2016
dc.date.none.fl_str_mv 2016-01-01T00:00:00Z
2016
2018-01-09T11:40:32Z
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http://dx.doi.org/10.1590/0101-7438.2016.036.03.0447
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http://dx.doi.org/10.1590/0101-7438.2016.036.03.0447
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