Cutting Planes from Conditional Bounds for Generalized Set Covering Problems

Detalhes bibliográficos
Autor(a) principal: Pato, Margarida Vaz
Data de Publicação: 1989
Outros Autores: Paixão, José Pinto
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Texto Completo: http://hdl.handle.net/10400.5/96252
Resumo: This paper reports on the development of special cutting planes for the generalized set covering problem, GSCP, which is a covering problem where the variables and the right-hand sides are allowed to have any positive integer value. Those inequalities are, actually, a generalization of the cutting planes derived from conditional bounds and originally presented by Balas (1980), for the set covering problem. More recently, Hall & Hochbaum (1985) have extended those results for the multicovering problem. The generalized inequalities that we derive for the GSCP arc proved to be of the covering type and, hence, keeping the structure of the problem constraints.
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spelling Cutting Planes from Conditional Bounds for Generalized Set Covering ProblemsCutting PlanesConditional BoundsDisjunctive InequalitiesGeneralized Set Covering ProblemThis paper reports on the development of special cutting planes for the generalized set covering problem, GSCP, which is a covering problem where the variables and the right-hand sides are allowed to have any positive integer value. Those inequalities are, actually, a generalization of the cutting planes derived from conditional bounds and originally presented by Balas (1980), for the set covering problem. More recently, Hall & Hochbaum (1985) have extended those results for the multicovering problem. The generalized inequalities that we derive for the GSCP arc proved to be of the covering type and, hence, keeping the structure of the problem constraints.APDIORepositório da Universidade de LisboaPato, Margarida VazPaixão, José Pinto2024-12-12T10:13:32Z19891989-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.5/96252engPato, Margarida Vaz and José Pinto Paixão .(1989). “ Cutting Planes from Conditional Bounds for Generalized Set Covering Problems”. Investigação Operacional, Vol. 9 (1989), pp. 13-21.0874-5161info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2025-03-17T16:29:50Zoai:repositorio.ulisboa.pt:10400.5/96252Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-29T04:16:56.617566Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Cutting Planes from Conditional Bounds for Generalized Set Covering Problems
title Cutting Planes from Conditional Bounds for Generalized Set Covering Problems
spellingShingle Cutting Planes from Conditional Bounds for Generalized Set Covering Problems
Pato, Margarida Vaz
Cutting Planes
Conditional Bounds
Disjunctive Inequalities
Generalized Set Covering Problem
title_short Cutting Planes from Conditional Bounds for Generalized Set Covering Problems
title_full Cutting Planes from Conditional Bounds for Generalized Set Covering Problems
title_fullStr Cutting Planes from Conditional Bounds for Generalized Set Covering Problems
title_full_unstemmed Cutting Planes from Conditional Bounds for Generalized Set Covering Problems
title_sort Cutting Planes from Conditional Bounds for Generalized Set Covering Problems
author Pato, Margarida Vaz
author_facet Pato, Margarida Vaz
Paixão, José Pinto
author_role author
author2 Paixão, José Pinto
author2_role author
dc.contributor.none.fl_str_mv Repositório da Universidade de Lisboa
dc.contributor.author.fl_str_mv Pato, Margarida Vaz
Paixão, José Pinto
dc.subject.por.fl_str_mv Cutting Planes
Conditional Bounds
Disjunctive Inequalities
Generalized Set Covering Problem
topic Cutting Planes
Conditional Bounds
Disjunctive Inequalities
Generalized Set Covering Problem
description This paper reports on the development of special cutting planes for the generalized set covering problem, GSCP, which is a covering problem where the variables and the right-hand sides are allowed to have any positive integer value. Those inequalities are, actually, a generalization of the cutting planes derived from conditional bounds and originally presented by Balas (1980), for the set covering problem. More recently, Hall & Hochbaum (1985) have extended those results for the multicovering problem. The generalized inequalities that we derive for the GSCP arc proved to be of the covering type and, hence, keeping the structure of the problem constraints.
publishDate 1989
dc.date.none.fl_str_mv 1989
1989-01-01T00:00:00Z
2024-12-12T10:13:32Z
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 http://hdl.handle.net/10400.5/96252
url http://hdl.handle.net/10400.5/96252
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Pato, Margarida Vaz and José Pinto Paixão .(1989). “ Cutting Planes from Conditional Bounds for Generalized Set Covering Problems”. Investigação Operacional, Vol. 9 (1989), pp. 13-21.
0874-5161
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv APDIO
publisher.none.fl_str_mv APDIO
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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