Optimal matchday schedule for Turkish professional soccer league using nonlinear binary integer programming

Sports scheduling problems are interesting optimization problems that require the decision of who play with whom, where and when to play. In this work, we study the sports scheduling problem faced by the Turkish Football Federation. Given the schedule of games for each round of the season, the probl...

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Bibliographic Details
Published in:An international journal of optimization and control Vol. 12; no. 2; pp. 113 - 127
Main Authors: Göçgün, Yasin, Bakır, Niyazi Onur
Format: Journal Article
Language:English
Published: Balikesir Prof. Dr. Ramazan Yaman 01.01.2022
Balikesir University, Faculty of Engineering Department of Industrial Engineering
Subjects:
Game theory
Games
Industrial engineering
Integer programming
Mühendislik
Optimization
Schedules
Scheduling
Soccer
Sports
Tournaments & championships
İstanbul
Türkiye
Integer programming
Sports scheduling
OR in sports
ISSN:2146-0957, 2146-5703
Online Access:Get full text
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Summary:Sports scheduling problems are interesting optimization problems that require the decision of who play with whom, where and when to play. In this work, we study the sports scheduling problem faced by the Turkish Football Federation. Given the schedule of games for each round of the season, the problem is to determine the match days with the goal of having a fair schedule for each team. The criteria we employ to establish this fairness are achieving an equal distribution of match days between the teams throughout the season and the ideal assignment of games to different days in each round of the tournament. The problem is formulated as a nonlinear binary integer program and is solved optimally for each week. Our results indicate that significant improvements over the existing schedule can be achieved if the optimal solution is implemented.
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ISSN:2146-0957
2146-5703
DOI:10.11121/ijocta.2022.1161