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Título: | The sport teams grouping problem. |
Autor(es): | Toffolo, Túlio Ângelo Machado Christiaens, Jan Spieksma, Frits C. R. Berghe, Greet Vanden |
Palavras-chave: | Integer programming Meta-heuristic Branch-and-price Column generation Decomposition strategies |
Data do documento: | 2017 |
Referência: | TOFFOLO, T. A. M. et al. The sport teams grouping problem. Annals of Operations Research, p. 1-21, 2017. Disponível em: <https://link.springer.com/article/10.1007%2Fs10479-017-2595-z>. Acesso em: 16 jun. 2018. |
Resumo: | The sport teams grouping problem (STGP) concerns the assignment of sport teams to round-robin tournaments. The objective is to minimize the total travel distance of the participating teams while simultaneously respecting fairness constraints. The STGP is an NP-Hard combinatorial optimization problem highly relevant in practice. This paper investigates the performance of some complimentary optimization approaches to the STGP. Three integer programming formulations are presented and thoroughly analyzed: two compact formulations and another with an exponential number of variables, for which a branch-and-price algorithm is proposed. Additionally, a meta-heuristic method is applied to quickly generate feasible high-quality solutions for a set of real-world instances. By combining the different approaches’ results, solutions within 1.7% of the optimum values were produced for all feasible instances. Additionally, to support further research, the considered STGP instances and corresponding solutions files were shared online. |
URI: | http://www.repositorio.ufop.br/handle/123456789/10421 |
Link para o artigo: | https://link.springer.com/article/10.1007%2Fs10479-017-2595-z |
ISSN: | 15729338 |
Aparece nas coleções: | DECOM - Artigos publicados em periódicos |
Arquivos associados a este item:
Arquivo | Descrição | Tamanho | Formato | |
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ARTIGO_SportTeamsGrouping.pdf Restricted Access | 830,22 kB | Adobe PDF | Visualizar/Abrir |
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