The unsplittable stable marriage problem

Autores
Dean, Brian C.; Goemans, Michel X.; Immorlica, Nicole
Año de publicación
2006
Idioma
inglés
Tipo de recurso
documento de conferencia
Estado
versión publicada
Descripción
The Gale-Shapley "propose/reject" algorithm is a wellknown procedure for solving the classical stable marriage problem. In this paper we study this algorithm in the context of the many-to-many stable marriage problem, also known as the stable allocation or ordinal transportation problem. We present an integral variant of the Gale- Shapley algorithm that provides a direct analog, in the context of "ordinal" assignment problems, of a well-known bicriteria approximation algorithm of Shmoys and Tardos for scheduling on unrelated parallel machines with costs. If we are assigning, say, jobs to machines, our algorithm nds an unsplit (non-preemptive) stable assignment where every job is assigned at least as well as it could be in any fractional stable assignment, and where each machine is congested by at most the processing time of the largest job.
4th IFIP International Conference on Theoretical Computer Science
Red de Universidades con Carreras en Informática (RedUNCI)
Materia
Ciencias Informáticas
Gale- Shapley algorithm
stable marriage problem
Algorithms
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/24374
Acceder
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network_name_str SEDICI (UNLP)
spelling The unsplittable stable marriage problemDean, Brian C.Goemans, Michel X.Immorlica, NicoleCiencias InformáticasGale- Shapley algorithmstable marriage problemAlgorithmsThe Gale-Shapley "propose/reject" algorithm is a wellknown procedure for solving the classical stable marriage problem. In this paper we study this algorithm in the context of the many-to-many stable marriage problem, also known as the stable allocation or ordinal transportation problem. We present an integral variant of the Gale- Shapley algorithm that provides a direct analog, in the context of "ordinal" assignment problems, of a well-known bicriteria approximation algorithm of Shmoys and Tardos for scheduling on unrelated parallel machines with costs. If we are assigning, say, jobs to machines, our algorithm nds an unsplit (non-preemptive) stable assignment where every job is assigned at least as well as it could be in any fractional stable assignment, and where each machine is congested by at most the processing time of the largest job.4th IFIP International Conference on Theoretical Computer ScienceRed de Universidades con Carreras en Informática (RedUNCI)2006-08info:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/publishedVersionObjeto de conferenciahttp://purl.org/coar/resource_type/c_5794info:ar-repo/semantics/documentoDeConferenciaapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/24374enginfo:eu-repo/semantics/altIdentifier/isbn/0-387-34633-3info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/2.5/ar/Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Argentina (CC BY-NC-SA 2.5)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-15T10:48:28Zoai:sedici.unlp.edu.ar:10915/24374Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-15 10:48:28.773SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv The unsplittable stable marriage problem
title The unsplittable stable marriage problem
spellingShingle The unsplittable stable marriage problem
Dean, Brian C.
Ciencias Informáticas
Gale- Shapley algorithm
stable marriage problem
Algorithms
title_short The unsplittable stable marriage problem
title_full The unsplittable stable marriage problem
title_fullStr The unsplittable stable marriage problem
title_full_unstemmed The unsplittable stable marriage problem
title_sort The unsplittable stable marriage problem
dc.creator.none.fl_str_mv Dean, Brian C.
Goemans, Michel X.
Immorlica, Nicole
author Dean, Brian C.
author_facet Dean, Brian C.
Goemans, Michel X.
Immorlica, Nicole
author_role author
author2 Goemans, Michel X.
Immorlica, Nicole
author2_role author
author
dc.subject.none.fl_str_mv Ciencias Informáticas
Gale- Shapley algorithm
stable marriage problem
Algorithms
topic Ciencias Informáticas
Gale- Shapley algorithm
stable marriage problem
Algorithms
dc.description.none.fl_txt_mv The Gale-Shapley "propose/reject" algorithm is a wellknown procedure for solving the classical stable marriage problem. In this paper we study this algorithm in the context of the many-to-many stable marriage problem, also known as the stable allocation or ordinal transportation problem. We present an integral variant of the Gale- Shapley algorithm that provides a direct analog, in the context of "ordinal" assignment problems, of a well-known bicriteria approximation algorithm of Shmoys and Tardos for scheduling on unrelated parallel machines with costs. If we are assigning, say, jobs to machines, our algorithm nds an unsplit (non-preemptive) stable assignment where every job is assigned at least as well as it could be in any fractional stable assignment, and where each machine is congested by at most the processing time of the largest job.
4th IFIP International Conference on Theoretical Computer Science
Red de Universidades con Carreras en Informática (RedUNCI)
description The Gale-Shapley "propose/reject" algorithm is a wellknown procedure for solving the classical stable marriage problem. In this paper we study this algorithm in the context of the many-to-many stable marriage problem, also known as the stable allocation or ordinal transportation problem. We present an integral variant of the Gale- Shapley algorithm that provides a direct analog, in the context of "ordinal" assignment problems, of a well-known bicriteria approximation algorithm of Shmoys and Tardos for scheduling on unrelated parallel machines with costs. If we are assigning, say, jobs to machines, our algorithm nds an unsplit (non-preemptive) stable assignment where every job is assigned at least as well as it could be in any fractional stable assignment, and where each machine is congested by at most the processing time of the largest job.
publishDate 2006
dc.date.none.fl_str_mv 2006-08
dc.type.none.fl_str_mv info:eu-repo/semantics/conferenceObject
info:eu-repo/semantics/publishedVersion
Objeto de conferencia
http://purl.org/coar/resource_type/c_5794
info:ar-repo/semantics/documentoDeConferencia
format conferenceObject
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/24374
url http://sedici.unlp.edu.ar/handle/10915/24374
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/isbn/0-387-34633-3
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
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Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Argentina (CC BY-NC-SA 2.5)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Argentina (CC BY-NC-SA 2.5)
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
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reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
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repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
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