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A flexible mathematical model for the planning and designing of a sporting fixture by considering the assignment of referees

机译:通过考虑裁判员的分配来设计和设计运动器材的灵活数学模型

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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.
机译:本文讨论了在考虑正确裁判员分配的情况下体育器材的设计和规划所面临的问题。提出了一种非线性二进制程序模型来解决该问题,其目的是最小化每个比赛的要求与分配的裁判员质量之间存在的差异之和,从而实现每个比赛的最合适裁判员的设计。使用从各种运动器材(如足球,排球和篮球)获得的一些真实数据证明了该模型的效率。使用CPLEX 12.7.0解决了数学模型,该模型允许对问题进行自动线性化。获得的结果证明了所提出的方法解决问题的效率,以及将其扩展到需要类似计划的其他体育学科的方法。同样,鉴于所提出模型的鲁棒性,可以根据每个联赛的要求实施其他目标功能。

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