An exact approach for the balanced k-way partitioning problem with weight constraints and its application to sports team realignment
- Autores
- Recalde, Diego; Severin, Daniel Esteban; Torres, Ramiro; Vaca, Polo
- Año de publicación
- 2018
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- In this work a balanced k-way partitioning problem with weight constraints is defined to model the sports team realignment. Sports teams must be partitioned into a fixed number of groups according to some regulations, where the total distance of the road trips that all teams must travel to play a double round robin tournament in each group is minimized. Two integer programming formulations for this problem are introduced, and the validity of three families of inequalities associated to the polytope of these formulations is proved. The performance of a tabu search procedure and a branch and cut algorithm, which uses the valid inequalities as cuts, is evaluated over simulated and real-world instances. In particular, an optimal solution for the realignment of the Ecuadorian football league is reported and the methodology can be suitable adapted for the realignment of other sports leagues.
Fil: Recalde, Diego. Escuela Politécnica Nacional; Ecuador
Fil: Severin, Daniel Esteban. Universidad Nacional de Rosario. Facultad de Ciencias Exactas Ingeniería y Agrimensura. Escuela de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Torres, Ramiro. Escuela Politécnica Nacional; Ecuador
Fil: Vaca, Polo. Escuela Politécnica Nacional; Ecuador - Materia
-
INTEGER PROGRAMMING MODELS
GRAPH PARTITIONING
TABU SEARCH
SPORTS TEAM REALIGNMENT - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/90390
Ver los metadatos del registro completo
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oai:ri.conicet.gov.ar:11336/90390 |
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spelling |
An exact approach for the balanced k-way partitioning problem with weight constraints and its application to sports team realignmentRecalde, DiegoSeverin, Daniel EstebanTorres, RamiroVaca, PoloINTEGER PROGRAMMING MODELSGRAPH PARTITIONINGTABU SEARCHSPORTS TEAM REALIGNMENThttps://purl.org/becyt/ford/1.2https://purl.org/becyt/ford/1In this work a balanced k-way partitioning problem with weight constraints is defined to model the sports team realignment. Sports teams must be partitioned into a fixed number of groups according to some regulations, where the total distance of the road trips that all teams must travel to play a double round robin tournament in each group is minimized. Two integer programming formulations for this problem are introduced, and the validity of three families of inequalities associated to the polytope of these formulations is proved. The performance of a tabu search procedure and a branch and cut algorithm, which uses the valid inequalities as cuts, is evaluated over simulated and real-world instances. In particular, an optimal solution for the realignment of the Ecuadorian football league is reported and the methodology can be suitable adapted for the realignment of other sports leagues.Fil: Recalde, Diego. Escuela Politécnica Nacional; EcuadorFil: Severin, Daniel Esteban. Universidad Nacional de Rosario. Facultad de Ciencias Exactas Ingeniería y Agrimensura. Escuela de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Torres, Ramiro. Escuela Politécnica Nacional; EcuadorFil: Vaca, Polo. Escuela Politécnica Nacional; EcuadorSpringer2018-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/90390Recalde, Diego; Severin, Daniel Esteban; Torres, Ramiro; Vaca, Polo; An exact approach for the balanced k-way partitioning problem with weight constraints and its application to sports team realignment; Springer; Journal Of Combinatorial Optimization; 36; 3; 10-2018; 916-9361382-69051573-2886CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://link.springer.com/10.1007/s10878-018-0254-1info:eu-repo/semantics/altIdentifier/doi/10.1007/s10878-018-0254-1info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:48:11Zoai:ri.conicet.gov.ar:11336/90390instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:48:11.647CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
An exact approach for the balanced k-way partitioning problem with weight constraints and its application to sports team realignment |
title |
An exact approach for the balanced k-way partitioning problem with weight constraints and its application to sports team realignment |
spellingShingle |
An exact approach for the balanced k-way partitioning problem with weight constraints and its application to sports team realignment Recalde, Diego INTEGER PROGRAMMING MODELS GRAPH PARTITIONING TABU SEARCH SPORTS TEAM REALIGNMENT |
title_short |
An exact approach for the balanced k-way partitioning problem with weight constraints and its application to sports team realignment |
title_full |
An exact approach for the balanced k-way partitioning problem with weight constraints and its application to sports team realignment |
title_fullStr |
An exact approach for the balanced k-way partitioning problem with weight constraints and its application to sports team realignment |
title_full_unstemmed |
An exact approach for the balanced k-way partitioning problem with weight constraints and its application to sports team realignment |
title_sort |
An exact approach for the balanced k-way partitioning problem with weight constraints and its application to sports team realignment |
dc.creator.none.fl_str_mv |
Recalde, Diego Severin, Daniel Esteban Torres, Ramiro Vaca, Polo |
author |
Recalde, Diego |
author_facet |
Recalde, Diego Severin, Daniel Esteban Torres, Ramiro Vaca, Polo |
author_role |
author |
author2 |
Severin, Daniel Esteban Torres, Ramiro Vaca, Polo |
author2_role |
author author author |
dc.subject.none.fl_str_mv |
INTEGER PROGRAMMING MODELS GRAPH PARTITIONING TABU SEARCH SPORTS TEAM REALIGNMENT |
topic |
INTEGER PROGRAMMING MODELS GRAPH PARTITIONING TABU SEARCH SPORTS TEAM REALIGNMENT |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.2 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
In this work a balanced k-way partitioning problem with weight constraints is defined to model the sports team realignment. Sports teams must be partitioned into a fixed number of groups according to some regulations, where the total distance of the road trips that all teams must travel to play a double round robin tournament in each group is minimized. Two integer programming formulations for this problem are introduced, and the validity of three families of inequalities associated to the polytope of these formulations is proved. The performance of a tabu search procedure and a branch and cut algorithm, which uses the valid inequalities as cuts, is evaluated over simulated and real-world instances. In particular, an optimal solution for the realignment of the Ecuadorian football league is reported and the methodology can be suitable adapted for the realignment of other sports leagues. Fil: Recalde, Diego. Escuela Politécnica Nacional; Ecuador Fil: Severin, Daniel Esteban. Universidad Nacional de Rosario. Facultad de Ciencias Exactas Ingeniería y Agrimensura. Escuela de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina Fil: Torres, Ramiro. Escuela Politécnica Nacional; Ecuador Fil: Vaca, Polo. Escuela Politécnica Nacional; Ecuador |
description |
In this work a balanced k-way partitioning problem with weight constraints is defined to model the sports team realignment. Sports teams must be partitioned into a fixed number of groups according to some regulations, where the total distance of the road trips that all teams must travel to play a double round robin tournament in each group is minimized. Two integer programming formulations for this problem are introduced, and the validity of three families of inequalities associated to the polytope of these formulations is proved. The performance of a tabu search procedure and a branch and cut algorithm, which uses the valid inequalities as cuts, is evaluated over simulated and real-world instances. In particular, an optimal solution for the realignment of the Ecuadorian football league is reported and the methodology can be suitable adapted for the realignment of other sports leagues. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018-10 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
format |
article |
status_str |
publishedVersion |
dc.identifier.none.fl_str_mv |
http://hdl.handle.net/11336/90390 Recalde, Diego; Severin, Daniel Esteban; Torres, Ramiro; Vaca, Polo; An exact approach for the balanced k-way partitioning problem with weight constraints and its application to sports team realignment; Springer; Journal Of Combinatorial Optimization; 36; 3; 10-2018; 916-936 1382-6905 1573-2886 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/90390 |
identifier_str_mv |
Recalde, Diego; Severin, Daniel Esteban; Torres, Ramiro; Vaca, Polo; An exact approach for the balanced k-way partitioning problem with weight constraints and its application to sports team realignment; Springer; Journal Of Combinatorial Optimization; 36; 3; 10-2018; 916-936 1382-6905 1573-2886 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/10.1007/s10878-018-0254-1 info:eu-repo/semantics/altIdentifier/doi/10.1007/s10878-018-0254-1 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by/2.5/ar/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by/2.5/ar/ |
dc.format.none.fl_str_mv |
application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
Springer |
publisher.none.fl_str_mv |
Springer |
dc.source.none.fl_str_mv |
reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
reponame_str |
CONICET Digital (CONICET) |
collection |
CONICET Digital (CONICET) |
instname_str |
Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.name.fl_str_mv |
CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.mail.fl_str_mv |
dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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1842268908407488512 |
score |
13.13397 |