Minimal and fair waiting times for single-day sports tournaments with multiple fields

IF 0.8 4区管理学 Q4 OPERATIONS RESEARCH & MANAGEMENT SCIENCE

Operations Research Letters Pub Date : 2025-04-24 DOI:10.1016/j.orl.2025.107300

Lisa Garcia Tercero , David Van Bulck , Fabien Nießen , Dries Goossens

引用次数: 0

Abstract

This paper studies a single-day round-robin sports tournament organized at a single location featuring multiple fields. Teams are fully rested after a certain period of not playing, and all other periods between games are declared as waiting times. Considering both efficiency and fairness regarding waiting times, we prove lower bounds on the total and maximum waiting time and develop polynomial-time algorithms with an absolute performance guarantee of at most 5 for an even number of teams and 1 for an odd number of teams.

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最小和公平的等待时间，一天的体育比赛与多个领域

本文研究了在单一地点举办的具有多个场地的单日循环赛。球队在一段时间不比赛后完全休息，比赛之间的所有其他时间都被宣布为等待时间。考虑到等待时间的效率和公平性，我们证明了总等待时间和最大等待时间的下界，并开发了多项式时间算法，该算法的绝对性能保证对于偶数个团队最多为5，对于奇数个团队最多为1。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Operations Research Letters 管理科学-运筹学与管理科学

CiteScore

2.10

自引率

9.10%

发文量

111

审稿时长

83 days

期刊介绍： Operations Research Letters is committed to the rapid review and fast publication of short articles on all aspects of operations research and analytics. Apart from a limitation to eight journal pages, quality, originality, relevance and clarity are the only criteria for selecting the papers to be published. ORL covers the broad field of optimization, stochastic models and game theory. Specific areas of interest include networks, routing, location, queueing, scheduling, inventory, reliability, and financial engineering. We wish to explore interfaces with other fields such as life sciences and health care, artificial intelligence and machine learning, energy distribution, and computational social sciences and humanities. Our traditional strength is in methodology, including theory, modelling, algorithms and computational studies. We also welcome novel applications and concise literature reviews.