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

Katarína Cechlárová (), Ágnes Cseh (), Zsuzsanna Jankó (), Marián Kireš () and Lukáš Miňo ()
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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
Marián Kireš: P. J. Šafárik University
Lukáš Miňo: P. J. Šafárik University

Journal of Scheduling, 2023, vol. 26, issue 1, No 2, 3-18

Abstract: 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.

Keywords: Scheduling; Integer programming; Graph coloring; Student scientific competition; Fairness (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10951-022-00752-8

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