dc.creatorRecalde, Diego
dc.creatorSeverín, Daniel Esteban
dc.creatorTorres, Ramiro
dc.creatorVaca, Polo
dc.date2020-09-18T19:28:19Z
dc.date2020-09-18T19:28:19Z
dc.date2018-02-09
dc.date2020-09-18T19:28:19Z
dc.date2020-09-18T19:28:19Z
dc.date2018-02-09
dc.date.accessioned2022-10-14T19:58:31Z
dc.date.available2022-10-14T19:58:31Z
dc.identifier1573-2886
dc.identifierhttp://hdl.handle.net/2133/18961
dc.identifierhttp://hdl.handle.net/2133/18961
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4292579
dc.descriptionIn 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.
dc.descriptionFil: Recalde, Diego. Escuela Politécnica Nacional. Departamento de Matemática. Quito; Ecuador
dc.descriptionFil: Severín, Daniel. Universidad Nacional de Rosario. FCEIA. CONICET. Rosario; Argentina
dc.descriptionFil: Torres, Ramiro. Escuela Politécnica Nacional. Departamento de Matemática. Quito; Ecuador
dc.descriptionFil: Vaca, Polo. Escuela Politécnica Nacional. Departamento de Matemática. Quito; Ecuador
dc.formatapplication/pdf
dc.languageeng
dc.publisherSpringer Nature Switzerland
dc.relationhttps://doi.org/10.1007/s10878-018-0254-1
dc.relationhttp://hdl.handle.net/2133/18946
dc.relationinfo:eu-repo/semantics/dataset/hdl/2133/18946
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/7yypjxy4f7.1
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/10.1007/s10878-018-0254-1
dc.rights© 2020 Springer Nature Switzerland AG. Part of Springer Nature.
dc.rightsopenAccess
dc.subjectInteger programming models
dc.subjectGraph partitioning
dc.subjectTabu search
dc.subjectSports team realignmen
dc.subjecthttp://biblio-int.mincyt.gob.ar/ford/2.2
dc.titleAn exact approach for the balanced k-way partitioning problem with weight constraints and its application to sports team realignment
dc.typearticle
dc.typeartículo
dc.typeacceptedVersion


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