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A fix-and-optimize heuristic for the ITC2021 sports timetabling problem

Author

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  • George H. G. Fonseca

    (Federal University of Ouro Preto)

  • Túlio A. M. Toffolo

    (Federal University of Ouro Preto)

Abstract

This paper addresses the general and challenging Sports Timetabling Problem proposed during the International Timetabling Competition of 2021 (ITC2021). The problem is expressed in a flexible format which enables modeling a number of real-world constraints that often occur in Sports Timetabling. An integer programming (IP) formulation and a fix-and-optimize heuristic are proposed to address the problem. The fix-and-optimize approach uses the IP formulation to heuristically decompose the problem into sub-problems and efficiently search on very large neighborhoods. The diverse ITC2021 benchmark instances were used to evaluate the proposed methods. The formulation resulted in proven optimal solutions for two instances. However, it failed to produce feasible solutions for most instances. The proposed fix-and-optimize, which uses an automatic sub-problem size calibration strategy, resulted in feasible solutions for 37 out of the 45 ITC2021 instances. Among these solutions, four are the best known in the literature. The proposed approach participated in the ITC2021 and was one of the finalists.

Suggested Citation

  • George H. G. Fonseca & Túlio A. M. Toffolo, 2022. "A fix-and-optimize heuristic for the ITC2021 sports timetabling problem," Journal of Scheduling, Springer, vol. 25(3), pages 273-286, June.
    • Handle: RePEc:spr:jsched:v:25:y:2022:i:3:d:10.1007_s10951-022-00738-6
    DOI: 10.1007/s10951-022-00738-6
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    References listed on IDEAS

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    1. Guido Cocchi & Alessandro Galligari & Federica Picca Nicolino & Veronica Piccialli & Fabio Schoen & Marco Sciandrone, 2018. "Scheduling the Italian National Volleyball Tournament," Interfaces, INFORMS, vol. 48(3), pages 271-284, June.
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    4. Van Bulck, David & Goossens, Dries & Schönberger, Jörn & Guajardo, Mario, 2020. "RobinX: A three-field classification and unified data format for round-robin sports timetabling," European Journal of Operational Research, Elsevier, vol. 280(2), pages 568-580.
    5. Rasmussen, Rasmus V. & Trick, Michael A., 2008. "Round robin scheduling - a survey," European Journal of Operational Research, Elsevier, vol. 188(3), pages 617-636, August.
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