An exact approach for the balanced k-way partitioning problem with weight constraints and its application to sports team realignment
| dc.citation.title | Journal of Combinatorial Optimization | es |
| dc.citation.volume | 36 | es |
| dc.creator | Recalde, Diego | |
| dc.creator | Severín, Daniel Esteban | |
| dc.creator | Torres, Ramiro | |
| dc.creator | Vaca, Polo | |
| dc.date.accessioned | 2020-09-18T19:28:19Z | |
| dc.date.available | 2020-09-18T19:28:19Z | |
| dc.date.issued | 2018-02-09 | |
| dc.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. | es |
| dc.description.fil | Fil: Recalde, Diego. Escuela Politécnica Nacional. Departamento de Matemática. Quito; Ecuador | es |
| dc.description.fil | Fil: Severín, Daniel. Universidad Nacional de Rosario. FCEIA. CONICET. Rosario; Argentina | es |
| dc.description.fil | Fil: Torres, Ramiro. Escuela Politécnica Nacional. Departamento de Matemática. Quito; Ecuador | es |
| dc.description.fil | Fil: Vaca, Polo. Escuela Politécnica Nacional. Departamento de Matemática. Quito; Ecuador | es |
| dc.description.sponsorship | 15-MathAmSud-06 “PACK-COVER: Packing and covering, structural aspects” trilateral cooperation project. | es |
| dc.format | application/pdf | |
| dc.format.extent | 1-21 | es |
| dc.identifier.issn | 1573-2886 | es |
| dc.identifier.uri | http://hdl.handle.net/2133/18961 | |
| dc.language.iso | eng | es |
| dc.publisher | Springer Nature Switzerland | es |
| dc.relation | http://hdl.handle.net/2133/18946 | |
| dc.relation | info:eu-repo/semantics/dataset/hdl/2133/18946 | |
| dc.relation | info:eu-repo/semantics/altIdentifier/doi/7yypjxy4f7.1 | |
| dc.relation | info:eu-repo/semantics/altIdentifier/doi/10.1007/s10878-018-0254-1 | |
| dc.relation.publisherversion | https://doi.org/10.1007/s10878-018-0254-1 | es |
| dc.rights | openAccess | es |
| dc.rights.holder | © 2020 Springer Nature Switzerland AG. Part of Springer Nature. | es |
| dc.subject | Integer programming models | es |
| dc.subject | Graph partitioning | es |
| dc.subject | Tabu search | es |
| dc.subject | Sports team realignmen | es |
| dc.subject | http://biblio-int.mincyt.gob.ar/ford/2.2 | es |
| dc.title | An exact approach for the balanced k-way partitioning problem with weight constraints and its application to sports team realignment | es |
| dc.type | article | |
| dc.type | artículo | |
| dc.type | acceptedVersion | |
| dc.type.collection | articulo | |
| dc.type.version | acceptedVersion | es |
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