Team-bounded DEA efficiency scores: The case of UEFA Champions League Players
Measuring the efficiency of a football player is an interesting task. Every player invests time and energy to produce an outcome during the game that can lead to a better score for the team. However, football is a team sport, thus the synergy of the entire team is an invisible factor that influences...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Belgrade
2024-01-01
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| Series: | Yugoslav Journal of Operations Research |
| Subjects: | |
| Online Access: | https://doiserbia.nb.rs/img/doi/0354-0243/2024/0354-02432300022I.pdf |
| Summary: | Measuring the efficiency of a football player is an interesting task. Every player invests time and energy to produce an outcome during the game that can lead to a better score for the team. However, football is a team sport, thus the synergy of the entire team is an invisible factor that influences the outcomes a player produces. In this paper, we introduce a novel efficiency estimation model based on the data envelopment analysis that incorporates the team effect in the efficiency score. To achieve this effect, we presented data envelopment analysis models using a single mathematical model. This allows us to define lower and upper bounds on the team efficiency score. More specifically, we introduce a novel type of assurance region constraint around the team performance such that the efficiency score cannot exceed γ times the average team efficiency score. The results of the proposed mathematical model on the UEFA Champions League 2021/22 season show that efficiency scores can be heavily affected by inefficient teammates. However, if the entire team performed well, the drop in efficiency scores is insignificant. |
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| ISSN: | 0354-0243 1820-743X |