Scheduling a sports tournament is a complex optimization problem, which requires a large number of hard constraints to satisfy. Despite the availability of several such constraints in the literature, there remains a gap since most of the new sports events pose their own unique set of requirements, and demand novel constraints. Specifically talking of the strictly time bound events, ensuring fairness between the different teams in terms of their rest days, traveling, and the number of successive games they play, becomes a difficult task to resolve, and demands attention. In this work, we present a similar situation with a recently played sports event, where a suboptimal schedule favored some of the sides more than the others. We introduce various competitive parameters to draw a fairness comparison between the sides and propose a weighting criterion to point out the sides that enjoyed this schedule more than the others. Furthermore, we use root mean squared error between an ideal schedule and the actual ones for each side to determine unfairness in the distribution of rest days across their entire schedules. The latter is crucial, since successively playing a large number of games may lead to sportsmen burnout, which must be prevented.

中文翻译：

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防止运动员倦怠：次优比赛安排的形式分析

安排体育比赛是一个复杂的优化问题，需要满足大量的硬约束。尽管文献中有几个这样的约束条件，但仍然存在差距，因为大多数新体育赛事提出了自己独特的一套要求，并需要新的约束条件。具体说到严格限时的赛事，确保不同球队在休息日、行程、连续上场次数等方面的公平性，成为一项艰巨的任务，需要引起重视。在这项工作中，我们在最近举行的体育赛事中呈现了类似的情况，其中次优的赛程比其他方面更偏向于某些方面。我们引入了各种竞争参数来在双方之间进行公平比较，并提出一个权重标准来指出比其他人更喜欢这个时间表的一方。此外，我们使用每一方的理想时间表和实际时间表之间的均方根误差来确定他们整个时间表中休息日分布的不公平性。后者至关重要，因为连续进行大量比赛可能会导致运动员倦怠，这是必须防止的。