Column generaton methods assignment problems
Autor(a) principal: | |
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Data de Publicação: | 2007 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | por |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://hdl.handle.net/11449/231816 |
Resumo: | This work presents column generation methods for two important assignment problems: the Generalized Assignment Problem (GAP) and the problem of assigning calls to switches in cellular mobile networks (PAGS) G4P is one of the most representative combinatorial optimisation problems and can be stated as the problem of optimising the assignment of n jobs to m agents, such that each job is assigned to exactly one agent and the resource capacity of each agent is not violated. PACS consists of determining a cell assignment pattern which minimizes cabling costs between a ceil and a switch and transfer costs between cells assigned to different switches, while respecting certain constraints, especially those related to limited switch's capacity. The traditional column generation process is compared with the proposed algorithms that combine the column generation and lagrangean/surrogate reladon. Computational experiments are presented in order to confirm the effectiveness of the proposed algorithms. |
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Column generaton methods assignment problemsMétodos de geração de colunas para problemas de atribuiçãoAssignment problemsColumn generationCombinatorial optimizationLagrangean/surrogate relaxationThis work presents column generation methods for two important assignment problems: the Generalized Assignment Problem (GAP) and the problem of assigning calls to switches in cellular mobile networks (PAGS) G4P is one of the most representative combinatorial optimisation problems and can be stated as the problem of optimising the assignment of n jobs to m agents, such that each job is assigned to exactly one agent and the resource capacity of each agent is not violated. PACS consists of determining a cell assignment pattern which minimizes cabling costs between a ceil and a switch and transfer costs between cells assigned to different switches, while respecting certain constraints, especially those related to limited switch's capacity. The traditional column generation process is compared with the proposed algorithms that combine the column generation and lagrangean/surrogate reladon. Computational experiments are presented in order to confirm the effectiveness of the proposed algorithms.UNESP Campus de Guaratinguetá Faculdade de Engenharia, Av. Ariberto Pereira de Cunha 333, 12516-410 Guaratinguetá, SPINPE - Instituto Nacional de Pesquisas Espaciais Laboratório Associado de Computação e Matemática Aplicada, Av. dos Astronautas 1785, 12227-010 Sao Jose dos Campos, SPUNESP Campus de Presidente Prudente Faculdade de Ciências e Tecnologia, Rua Roberto Simonsen 305, 19060-900 Presidente Prudente, SPUNESP Campus de Guaratinguetá Faculdade de Engenharia, Av. Ariberto Pereira de Cunha 333, 12516-410 Guaratinguetá, SPUNESP Campus de Presidente Prudente Faculdade de Ciências e Tecnologia, Rua Roberto Simonsen 305, 19060-900 Presidente Prudente, SPUniversidade Estadual Paulista (UNESP)Laboratório Associado de Computação e Matemática AplicadaSenne, Edson Luiz Franca [UNESP]Lorena, Luiz Antonio NogueiraSalomão, Silvely Nogueira de Almeida [UNESP]2022-04-29T08:47:41Z2022-04-29T08:47:41Z2007-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article071-083Producao, v. 17, n. 1, p. 071-083, 2007.1980-54110103-6513http://hdl.handle.net/11449/2318162-s2.0-34648823588Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPporProducaoinfo:eu-repo/semantics/openAccess2024-07-02T14:28:56Zoai:repositorio.unesp.br:11449/231816Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-07-02T14:28:56Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Column generaton methods assignment problems Métodos de geração de colunas para problemas de atribuição |
title |
Column generaton methods assignment problems |
spellingShingle |
Column generaton methods assignment problems Senne, Edson Luiz Franca [UNESP] Assignment problems Column generation Combinatorial optimization Lagrangean/surrogate relaxation |
title_short |
Column generaton methods assignment problems |
title_full |
Column generaton methods assignment problems |
title_fullStr |
Column generaton methods assignment problems |
title_full_unstemmed |
Column generaton methods assignment problems |
title_sort |
Column generaton methods assignment problems |
author |
Senne, Edson Luiz Franca [UNESP] |
author_facet |
Senne, Edson Luiz Franca [UNESP] Lorena, Luiz Antonio Nogueira Salomão, Silvely Nogueira de Almeida [UNESP] |
author_role |
author |
author2 |
Lorena, Luiz Antonio Nogueira Salomão, Silvely Nogueira de Almeida [UNESP] |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) Laboratório Associado de Computação e Matemática Aplicada |
dc.contributor.author.fl_str_mv |
Senne, Edson Luiz Franca [UNESP] Lorena, Luiz Antonio Nogueira Salomão, Silvely Nogueira de Almeida [UNESP] |
dc.subject.por.fl_str_mv |
Assignment problems Column generation Combinatorial optimization Lagrangean/surrogate relaxation |
topic |
Assignment problems Column generation Combinatorial optimization Lagrangean/surrogate relaxation |
description |
This work presents column generation methods for two important assignment problems: the Generalized Assignment Problem (GAP) and the problem of assigning calls to switches in cellular mobile networks (PAGS) G4P is one of the most representative combinatorial optimisation problems and can be stated as the problem of optimising the assignment of n jobs to m agents, such that each job is assigned to exactly one agent and the resource capacity of each agent is not violated. PACS consists of determining a cell assignment pattern which minimizes cabling costs between a ceil and a switch and transfer costs between cells assigned to different switches, while respecting certain constraints, especially those related to limited switch's capacity. The traditional column generation process is compared with the proposed algorithms that combine the column generation and lagrangean/surrogate reladon. Computational experiments are presented in order to confirm the effectiveness of the proposed algorithms. |
publishDate |
2007 |
dc.date.none.fl_str_mv |
2007-01-01 2022-04-29T08:47:41Z 2022-04-29T08:47:41Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
Producao, v. 17, n. 1, p. 071-083, 2007. 1980-5411 0103-6513 http://hdl.handle.net/11449/231816 2-s2.0-34648823588 |
identifier_str_mv |
Producao, v. 17, n. 1, p. 071-083, 2007. 1980-5411 0103-6513 2-s2.0-34648823588 |
url |
http://hdl.handle.net/11449/231816 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.none.fl_str_mv |
Producao |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
071-083 |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1803649661196566528 |