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A quest for a fair schedule: The International Young Physicists’ Tournament

Author

Listed:
  • Katarína Cechlárová

    (P. J. Šafárik University)

  • Ágnes Cseh

    (Centre for Economic and Regional Studies, Institute of Economics)

  • Zsuzsanna Jankó

    (Centre for Economic and Regional Studies, Institute of Economics
    Corvinus University of Budapest)

  • Marián Kireš

    (P. J. Šafárik University)

  • Lukáš Miňo

    (P. J. Šafárik University)

Abstract

The International Young Physicists’ Tournament is an established team-oriented scientific competition between high school students from 37 countries on 5 continents. The competition consists of scientific discussions called Fights. Three or four teams participate in each Fight, while rotating the roles of Presenter, Opponent, Reviewer, and Observer among them. The rules of a few countries require that each team announces in advance three problems they will present at the regional tournament. The task of the organizers is to choose the composition of Fights in such a way that each team presents each of its chosen problems exactly once and within a single Fight no problem is presented more than once. Besides formalizing these feasibility conditions, in this paper we formulate several additional fairness criteria for tournament schedules. We show that the fulfillment of some of them can be ensured by constructing suitable edge colorings in bipartite graphs. To find fair schedules, we propose integer linear programs and test them on real as well as randomly generated data.

Suggested Citation

  • Katarína Cechlárová & Ágnes Cseh & Zsuzsanna Jankó & Marián Kireš & Lukáš Miňo, 2023. "A quest for a fair schedule: The International Young Physicists’ Tournament," Journal of Scheduling, Springer, vol. 26(1), pages 3-18, February.
    • Handle: RePEc:spr:jsched:v:26:y:2023:i:1:d:10.1007_s10951-022-00752-8
    DOI: 10.1007/s10951-022-00752-8
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    References listed on IDEAS

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    1. Roberto Asín Achá & Robert Nieuwenhuis, 2014. "Curriculum-based course timetabling with SAT and MaxSAT," Annals of Operations Research, Springer, vol. 218(1), pages 71-91, July.
    2. Moritz Mühlenthaler & Rolf Wanka, 2016. "Fairness in academic course timetabling," Annals of Operations Research, Springer, vol. 239(1), pages 171-188, April.
    3. Januario, Tiago & Urrutia, Sebastián & Ribeiro, Celso C. & de Werra, Dominique, 2016. "Edge coloring: A natural model for sports scheduling," European Journal of Operational Research, Elsevier, vol. 254(1), pages 1-8.
    4. Drexl, Andreas & Knust, Sigrid, 2007. "Sports league scheduling: Graph- and resource-based models," Omega, Elsevier, vol. 35(5), pages 465-471, October.
    5. Stolletz, Raik & Brunner, Jens O., 2012. "Fair optimization of fortnightly physician schedules with flexible shifts," European Journal of Operational Research, Elsevier, vol. 219(3), pages 622-629.
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