17,720 research outputs found

    A constrained sports scheduling problem

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    AbstractA real case of sports scheduling problem is presented. A calendar for two leagues has to be constructed; besides the usual restrictions on the alternation of home- and away-games, one has to consider the fact that some pairs of teams in the two leagues share the same facilities and cannot play home-games simultaneously. Furthermore depending on the results in the first games, one of the leagues is divided for the last games into two subleagues. An optimal solution is constructed by using properties of oriented factorizations of complete graphs

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

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    Indexación: Scopus.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. © 2019 by the authors; licensee Growing Science, Canada.http://growingscience.com/beta/ijiec/2960-a-flexible-mathematical-model-for-the-planning-and-designing-of-a-sporting-fixture-by-considering-the-assignment-of-referees.htm

    Scheduling the Australian football league

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    Generating a schedule for a professional sports league is an extremely demanding task. Good schedules have many benefits for the league, such as higher attendance and TV viewership, lower costs, and increased fairness. The Australian Football League is particularly interesting because of an unusual competition format integrating a single round robin tournament with additional games. Furthermore, several teams have multiple home venues and some venues are shared by multiple teams. This paper presents a 3-phase process to schedule the Australian Football League. The resulting solution outperforms the official schedule with respect to minimizing and balancing travel distance and breaks, while satisfying more requirements

    Round-robin tournaments with minimum number of breaks and two teams per club

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    We study round-robin tournaments for 2n teams. Here n is either interpreted as the number of clubs, each having two teams, or the number of strength groups with two teams each. For even n we give a construction of a single round-robin tournament for 2n teams with 2n - 2 breaks, where the teams of the same club have complementary home-away patterns and play against each other in the first round. If the pairs of teams are strength groups, then a cyclic permutation of the constructed schedule results in a group-balanced tournament

    Soccer schedules in Europe: an overview

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    In this paper, we give an overview of the competition formats and the schedules used in 25 European soccer competitions for the season 2008-2009. We discuss how competitions decide the league champion, qualification for European tournaments, and relegation. Following Griggs and Rosa (Bull. ICA 18:65-68, 1996), we examine the popularity of the so-called canonical schedule. We investigate the presence of a number of properties related to successive home or successive away matches (breaks) and of symmetry between the various parts of the competition. We introduce the concept of ranking-balancedness, which is particularly useful to decide whether a fair ranking can be made. We also determine how the schedules manage the carry-over effect. We conclude by observing that there is quite some diversity in European soccer schedules, and that current schedules leave room for further optimizing

    Broadcast scheduling for mobile advertising

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    We describe a broadcast scheduling system developed for a precision marketing firm specialized in location-sensitive permission-based mobile advertising using SMS (Short Message Service) text messaging. Text messages containing advertisements were sent to registered customers when they were shopping in one of two shopping centers in the vicinity of London. The ads typically contained a limited-time promotional offer. The company's problem was deciding which ads to send out to which customers at what particular time, given a limited capacity of broadcast time slots, while maximizing customer response and revenues from retailers paying for each ad broadcast. We solved the problem using integer programming with an interface in Microsoft Excel. The system significantly reduced the time required to schedule the broadcasts, and resulted both in increased customer response and revenues

    Rivalries

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    Rivalries are a key aspect of sports, but one with few counterparts elsewhere in economic theory. In this paper rivalries are modeled as a habitual good, and complementary in fan utility with other trade between residents of team locations. Some implications for optimal team investment in rivalry capital, for league investment in competitive balance, and for the fundamental differences between rivalries in team and individual sports are derived.Rivalry, rivalries, team sports

    Robust estimates of the impact of broadcasting on match attendance in football

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    The paper employs data from 2,884 matches, of which 158 were televised, in the second tier of English football (currently known as The Football League Championship). It builds a model of the determinants of attendance that is designed to yield estimates of the proportionate changes in the size of crowds resulting from games being shown on either free-to-air or subscription based channels. The model has two innovatory features. First, it controls for the market size of home and away teams very precisely by including local population measures constructed from the application of GIS software and information on competition from other clubs. Second, it employs the Hausman-Taylor random effects estimator in order to take explicit account of the endogeneity of the television coverage variable and of other variables typically included in earlier studies based on ordinary least squares or fixed effects models of attendance. The Hausman-Taylor estimates of the impact of broadcasting are greater than those reported in such studies. In the case of free-to-air television, the negative impact is estimated as over 20 percent but for subscription television, which carried most of the transmissions, the negative effect was only of the order of 5 percent
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