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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| Vydané v: | An international journal of optimization and control Ročník 12; číslo 2; s. 113 - 127 |
|---|---|
| Hlavní autori: | , |
| Médium: | Journal Article |
| Jazyk: | English |
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Balikesir
Prof. Dr. Ramazan Yaman
01.01.2022
Balikesir University, Faculty of Engineering Department of Industrial Engineering |
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| ISSN: | 2146-0957, 2146-5703 |
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| Abstract | 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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| AbstractList | 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. 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. |
| Author | Göçgün, Yasin Bakır, Niyazi Onur |
| AuthorAffiliation | Endüstri Mühendisliği Bölümü, Endüstri Mühendisliği Pr Endüstri Mühendisliği Bölümü, Endüstri Mühendisliği Programı |
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| Snippet | 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... 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... |
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| SubjectTerms | Game theory Games Industrial engineering Integer programming Mühendislik Optimization Schedules Scheduling Soccer Sports Tournaments & championships |
| Title | Optimal matchday schedule for Turkish professional soccer league using nonlinear binary integer programming |
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