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Scheduling a non-professional indoor football league: a tabu search based approach

Author

Listed:
  • David Bulck

    (Ghent University)

  • Dries R. Goossens

    (Ghent University)

  • Frits C. R. Spieksma

    (TU Eindhoven)

Abstract

This paper deals with a real-life scheduling problem of a non-professional indoor football league. The goal is to develop a schedule for a time-relaxed, double round-robin tournament which avoids close successions of games involving the same team in a limited period of time. This scheduling problem is interesting, because games are not planned in rounds. Instead, each team provides time slots in which they can play a home game, and time slots in which they cannot play at all. We present an integer programming formulation and a heuristic based on tabu search. The core component of this algorithm consists of solving a transportation problem, which schedules (or reschedules) all home games of a team. Our heuristic generates schedules with a quality comparable to those found with IP solvers, however with considerably less computational effort. These schedules were approved by the league organizers, and used in practice for the seasons 2009–2010 till 2016–2017.

Suggested Citation

  • David Bulck & Dries R. Goossens & Frits C. R. Spieksma, 2019. "Scheduling a non-professional indoor football league: a tabu search based approach," Annals of Operations Research, Springer, vol. 275(2), pages 715-730, April.
    • Handle: RePEc:spr:annopr:v:275:y:2019:i:2:d:10.1007_s10479-018-3013-x
    DOI: 10.1007/s10479-018-3013-x
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    References listed on IDEAS

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    1. David Pisinger & Stefan Ropke, 2010. "Large Neighborhood Search," International Series in Operations Research & Management Science, in: Michel Gendreau & Jean-Yves Potvin (ed.), Handbook of Metaheuristics, chapter 0, pages 399-419, Springer.
    2. Schonberger, J. & Mattfeld, D. C. & Kopfer, H., 2004. "Memetic Algorithm timetabling for non-commercial sport leagues," European Journal of Operational Research, Elsevier, vol. 153(1), pages 102-116, February.
    3. Jari Kyngäs & Kimmo Nurmi & Nico Kyngäs & George Lilley & Thea Salter & Dries Goossens, 2017. "Scheduling the Australian Football League," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(8), pages 973-982, August.
    4. Knust, Sigrid, 2010. "Scheduling non-professional table-tennis leagues," European Journal of Operational Research, Elsevier, vol. 200(2), pages 358-367, January.
    5. Stephan Westphal, 2014. "Scheduling the German Basketball League," Interfaces, INFORMS, vol. 44(5), pages 498-508, October.
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    Cited by:

    1. Li, Miao & Davari, Morteza & Goossens, Dries, 2023. "Multi-league sports scheduling with different leagues sizes," European Journal of Operational Research, Elsevier, vol. 307(1), pages 313-327.
    2. Van Bulck, David & Goossens, Dries, 2023. "A traditional Benders’ approach to sports timetabling," European Journal of Operational Research, Elsevier, vol. 307(2), pages 813-826.

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