A Reduced Semidefinite Programming Formulation for HA Assignment Problems in Sport Scheduling

Detalhes bibliográficos
Autor(a) principal: LARA,H. J.
Data de Publicação: 2018
Outros Autores: SIQUEIRA,A.S., YUAN,J.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512018000300471
Resumo: ABSTRACT Home-Away Assignment problems are naturally considered as quadratic programming models in binary variables. For solving the problem, different formulations are studied here. First, the problem is rewritten as a quadratic programming formulation with linear constraints, and a quadratically constrained version respectively. For large scale problem, some reduced formulation are proposed by manipulating their special structure, with 1/4 of the original size. Note that the quadratic programming formulations lead to semidefinite relaxations solved approximately by semidefinite programming method. Comparison between our SDP relaxation and the MIN-RES-CUT based formulation is given. Finally some numerical experiments are given to illustrate the characteristics of each model.
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spelling A Reduced Semidefinite Programming Formulation for HA Assignment Problems in Sport SchedulingSports schedulingInteger quadratic programmingSemidefinite programmingABSTRACT Home-Away Assignment problems are naturally considered as quadratic programming models in binary variables. For solving the problem, different formulations are studied here. First, the problem is rewritten as a quadratic programming formulation with linear constraints, and a quadratically constrained version respectively. For large scale problem, some reduced formulation are proposed by manipulating their special structure, with 1/4 of the original size. Note that the quadratic programming formulations lead to semidefinite relaxations solved approximately by semidefinite programming method. Comparison between our SDP relaxation and the MIN-RES-CUT based formulation is given. Finally some numerical experiments are given to illustrate the characteristics of each model.Sociedade Brasileira de Matemática Aplicada e Computacional2018-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512018000300471TEMA (São Carlos) v.19 n.3 2018reponame:TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)instname:Sociedade Brasileira de Matemática Aplicada e Computacionalinstacron:SBMAC10.5540/tema.2018.019.03.0471info:eu-repo/semantics/openAccessLARA,H. J.SIQUEIRA,A.S.YUAN,J.eng2018-12-13T00:00:00Zoai:scielo:S2179-84512018000300471Revistahttp://www.scielo.br/temaPUBhttps://old.scielo.br/oai/scielo-oai.phpcastelo@icmc.usp.br2179-84511677-1966opendoar:2018-12-13T00:00TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) - Sociedade Brasileira de Matemática Aplicada e Computacionalfalse
dc.title.none.fl_str_mv A Reduced Semidefinite Programming Formulation for HA Assignment Problems in Sport Scheduling
title A Reduced Semidefinite Programming Formulation for HA Assignment Problems in Sport Scheduling
spellingShingle A Reduced Semidefinite Programming Formulation for HA Assignment Problems in Sport Scheduling
LARA,H. J.
Sports scheduling
Integer quadratic programming
Semidefinite programming
title_short A Reduced Semidefinite Programming Formulation for HA Assignment Problems in Sport Scheduling
title_full A Reduced Semidefinite Programming Formulation for HA Assignment Problems in Sport Scheduling
title_fullStr A Reduced Semidefinite Programming Formulation for HA Assignment Problems in Sport Scheduling
title_full_unstemmed A Reduced Semidefinite Programming Formulation for HA Assignment Problems in Sport Scheduling
title_sort A Reduced Semidefinite Programming Formulation for HA Assignment Problems in Sport Scheduling
author LARA,H. J.
author_facet LARA,H. J.
SIQUEIRA,A.S.
YUAN,J.
author_role author
author2 SIQUEIRA,A.S.
YUAN,J.
author2_role author
author
dc.contributor.author.fl_str_mv LARA,H. J.
SIQUEIRA,A.S.
YUAN,J.
dc.subject.por.fl_str_mv Sports scheduling
Integer quadratic programming
Semidefinite programming
topic Sports scheduling
Integer quadratic programming
Semidefinite programming
description ABSTRACT Home-Away Assignment problems are naturally considered as quadratic programming models in binary variables. For solving the problem, different formulations are studied here. First, the problem is rewritten as a quadratic programming formulation with linear constraints, and a quadratically constrained version respectively. For large scale problem, some reduced formulation are proposed by manipulating their special structure, with 1/4 of the original size. Note that the quadratic programming formulations lead to semidefinite relaxations solved approximately by semidefinite programming method. Comparison between our SDP relaxation and the MIN-RES-CUT based formulation is given. Finally some numerical experiments are given to illustrate the characteristics of each model.
publishDate 2018
dc.date.none.fl_str_mv 2018-12-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512018000300471
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512018000300471
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.5540/tema.2018.019.03.0471
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
dc.source.none.fl_str_mv TEMA (São Carlos) v.19 n.3 2018
reponame:TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)
instname:Sociedade Brasileira de Matemática Aplicada e Computacional
instacron:SBMAC
instname_str Sociedade Brasileira de Matemática Aplicada e Computacional
instacron_str SBMAC
institution SBMAC
reponame_str TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)
collection TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)
repository.name.fl_str_mv TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) - Sociedade Brasileira de Matemática Aplicada e Computacional
repository.mail.fl_str_mv castelo@icmc.usp.br
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