Grouping and scheduling multiple sports leagues : an integrated approach
- Author
- Miao Li (UGent) and Dries Goossens (UGent)
- Organization
- Abstract
- This paper introduces the multi-league grouping and scheduling problem, which integrates the grouping of teams into leagues and the scheduling of each league. This involves two possibly conflicting objectives: minimizing travel distance and minimizing capacity violations of venues shared by teams. We formulate this problem as a bi-objective mixed-integer programming model. Given the NP-hardness of the grouping problem, the integrated problem is particularly challenging. Hence, we design a two-layer constructive heuristic to efficiently approximate the Pareto set, using simulated annealing on the outer layer and an integer programming model on the inner layer. We further develop a speed-up version where the inner layer is solved heuristically. We develop a series of large-scale problem instances, including one based on data from the Royal Belgian Football Association. In a computational study, we compare our algorithms with an epsilon-constraint method and evaluate their results using various multi-objective solution quality metrics.
- Keywords
- OR in sports, sport teams grouping, multi-league scheduling, round, robin, different league sizes, bi-objective optimization, MULTIOBJECTIVE OPTIMIZATION, FOOTBALL-LEAGUE, PATTERN SETS, PERFORMANCE, FEASIBILITY, ALGORITHMS, COMPLEXITY, TOURNAMENT, TEAMS
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-01J9Y5HTH8W2Q2YKQRAYRZRM11
- MLA
- Li, Miao, and Dries Goossens. “Grouping and Scheduling Multiple Sports Leagues : An Integrated Approach.” JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY, vol. 76, no. 4, 2024, pp. 739–57, doi:10.1080/01605682.2024.2391516.
- APA
- Li, M., & Goossens, D. (2024). Grouping and scheduling multiple sports leagues : an integrated approach. JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY, 76(4), 739–757. https://doi.org/10.1080/01605682.2024.2391516
- Chicago author-date
- Li, Miao, and Dries Goossens. 2024. “Grouping and Scheduling Multiple Sports Leagues : An Integrated Approach.” JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY 76 (4): 739–57. https://doi.org/10.1080/01605682.2024.2391516.
- Chicago author-date (all authors)
- Li, Miao, and Dries Goossens. 2024. “Grouping and Scheduling Multiple Sports Leagues : An Integrated Approach.” JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY 76 (4): 739–757. doi:10.1080/01605682.2024.2391516.
- Vancouver
- 1.Li M, Goossens D. Grouping and scheduling multiple sports leagues : an integrated approach. JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY. 2024;76(4):739–57.
- IEEE
- [1]M. Li and D. Goossens, “Grouping and scheduling multiple sports leagues : an integrated approach,” JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY, vol. 76, no. 4, pp. 739–757, 2024.
@article{01J9Y5HTH8W2Q2YKQRAYRZRM11,
abstract = {{This paper introduces the multi-league grouping and scheduling problem, which integrates the grouping of teams into leagues and the scheduling of each league. This involves two possibly conflicting objectives: minimizing travel distance and minimizing capacity violations of venues shared by teams. We formulate this problem as a bi-objective mixed-integer programming model. Given the NP-hardness of the grouping problem, the integrated problem is particularly challenging. Hence, we design a two-layer constructive heuristic to efficiently approximate the Pareto set, using simulated annealing on the outer layer and an integer programming model on the inner layer. We further develop a speed-up version where the inner layer is solved heuristically. We develop a series of large-scale problem instances, including one based on data from the Royal Belgian Football Association. In a computational study, we compare our algorithms with an epsilon-constraint method and evaluate their results using various multi-objective solution quality metrics.}},
author = {{Li, Miao and Goossens, Dries}},
issn = {{0160-5682}},
journal = {{JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY}},
keywords = {{OR in sports,sport teams grouping,multi-league scheduling,round,robin,different league sizes,bi-objective optimization,MULTIOBJECTIVE OPTIMIZATION,FOOTBALL-LEAGUE,PATTERN SETS,PERFORMANCE,FEASIBILITY,ALGORITHMS,COMPLEXITY,TOURNAMENT,TEAMS}},
language = {{eng}},
number = {{4}},
pages = {{739--757}},
title = {{Grouping and scheduling multiple sports leagues : an integrated approach}},
url = {{http://doi.org/10.1080/01605682.2024.2391516}},
volume = {{76}},
year = {{2024}},
}
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