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Growing Science » International Journal of Industrial Engineering Computations » A flexible mathematical model for the planning and designing of a sporting fixture by considering the assignment of referees

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International Journal of Industrial Engineering Computations

ISSN 1923-2934 (Online) - ISSN 1923-2926 (Print)
Quarterly Publication
Volume 10 Issue 2 pp. 281-294 , 2019

A flexible mathematical model for the planning and designing of a sporting fixture by considering the assignment of referees Pages 281-294 Right click to download the paper Download PDF

Authors: Rodrigo Linfati, Gustavo Gatica, John Willmer Escobar

DOI: 10.5267/j.ijiec.2018.6.004

Keywords: Fixture, Sports scheduling, Assignment of referees, Mathematical model, Binary programming

Abstract: This paper deals with the problems faced with the designing and planning of a sporting fixture considering correct referee assignments. A non-linear binary program model is proposed to solve the problems, which aims to minimize the sums of the differences that exist between the requirements of each match and the quality of the referee assigned achieving the design of the most adequate referee for each match. The efficiency of the proposed model is proved using some real data obtained from various fixtures for sports such as soccer, volleyball, and basketball. The mathematical model is solved by using CPLEX 12.7.0., which allows the automatic linearization of the problems. The results obtained demonstrate the efficiency of the proposed methodology for tackling problems, as well as its extension to other sporting disciplines, which require a similar type of planning. Similarly, given the robust nature of the proposed model, it is possible to implement other objective functions in accordance with the requirements of each league.

How to cite this paper
Linfati, R., Gatica, G & Escobar, J. (2019). A flexible mathematical model for the planning and designing of a sporting fixture by considering the assignment of referees.International Journal of Industrial Engineering Computations , 10(2), 281-294.

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Journal: International Journal of Industrial Engineering Computations | Year: 2019 | Volume: 10 | Issue: 2 | Views: 1936 | Reviews: 0

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