Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/237516 
Year of Publication: 
2020
Series/Report no.: 
CERS-IE Working Papers No. CERS-IE WP - 2020/25
Publisher: 
Hungarian Academy of Sciences, Institute of Economics, Centre for Economic and Regional Studies, Budapest
Abstract: 
The 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, each of whom presents a problem while rotating the roles of Presenter, Opponent, Reviewer, and Observer among them. The rules of a few countries require that each team announce in advance 3 problems they will present at the national 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 conditions 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.
Subjects: 
integer programming
scheduling
fairness
graph coloring
student competition
JEL: 
C63
C78
Document Type: 
Working Paper

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