An exact approach for the balanced k-way partitioning problem with weight constraints and its application to sports team realignment
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 do...
Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | article artículo acceptedVersion |
| Lenguaje: | Inglés |
| Publicado: |
Springer Nature Switzerland
2020
|
| Materias: | |
| Acceso en línea: | http://hdl.handle.net/2133/18961 http://hdl.handle.net/2133/18961 |
| Aporte de: |
| id |
I15-R121-2133-18961 |
|---|---|
| record_format |
dspace |
| institution |
Universidad Nacional de Rosario |
| institution_str |
I-15 |
| repository_str |
R-121 |
| collection |
Repositorio Hipermedial de la Universidad Nacional de Rosario (UNR) |
| language |
Inglés |
| orig_language_str_mv |
eng |
| topic |
Integer programming models Graph partitioning Tabu search Sports team realignmen http://biblio-int.mincyt.gob.ar/ford/2.2 |
| spellingShingle |
Integer programming models Graph partitioning Tabu search Sports team realignmen http://biblio-int.mincyt.gob.ar/ford/2.2 Recalde, Diego Severín, 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 |
| topic_facet |
Integer programming models Graph partitioning Tabu search Sports team realignmen http://biblio-int.mincyt.gob.ar/ford/2.2 |
| 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. |
| format |
article artículo acceptedVersion |
| author |
Recalde, Diego Severín, Daniel Esteban Torres, Ramiro Vaca, Polo |
| author_facet |
Recalde, Diego Severín, Daniel Esteban Torres, Ramiro Vaca, Polo |
| author_sort |
Recalde, Diego |
| title |
An exact approach for the balanced k-way partitioning problem with weight constraints and its application to 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 |
exact approach for the balanced k-way partitioning problem with weight constraints and its application to sports team realignment |
| publisher |
Springer Nature Switzerland |
| publishDate |
2020 |
| url |
http://hdl.handle.net/2133/18961 http://hdl.handle.net/2133/18961 |
| work_keys_str_mv |
AT recaldediego anexactapproachforthebalancedkwaypartitioningproblemwithweightconstraintsanditsapplicationtosportsteamrealignment AT severindanielesteban anexactapproachforthebalancedkwaypartitioningproblemwithweightconstraintsanditsapplicationtosportsteamrealignment AT torresramiro anexactapproachforthebalancedkwaypartitioningproblemwithweightconstraintsanditsapplicationtosportsteamrealignment AT vacapolo anexactapproachforthebalancedkwaypartitioningproblemwithweightconstraintsanditsapplicationtosportsteamrealignment AT recaldediego exactapproachforthebalancedkwaypartitioningproblemwithweightconstraintsanditsapplicationtosportsteamrealignment AT severindanielesteban exactapproachforthebalancedkwaypartitioningproblemwithweightconstraintsanditsapplicationtosportsteamrealignment AT torresramiro exactapproachforthebalancedkwaypartitioningproblemwithweightconstraintsanditsapplicationtosportsteamrealignment AT vacapolo exactapproachforthebalancedkwaypartitioningproblemwithweightconstraintsanditsapplicationtosportsteamrealignment |
| bdutipo_str |
Repositorios |
| _version_ |
1764820409928122370 |