Referee assignment in the Chilean football league using integer programming and patterns

This article uses integer linear programming to address the referee assignment problem in the First Division of the Chilean professional football league. The proposed approach considers balance in the number of matches each referee must officiate, the frequency of each referee being assigned to a gi...

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Autor principal: Alarcón, F.
Otros Autores: Durán, G., Guajardo, M.
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: Blackwell Publishing Ltd 2014
Acceso en línea:Registro en Scopus
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100 1 |a Alarcón, F. 
245 1 0 |a Referee assignment in the Chilean football league using integer programming and patterns 
260 |b Blackwell Publishing Ltd  |c 2014 
506 |2 openaire  |e Política editorial 
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520 3 |a This article uses integer linear programming to address the referee assignment problem in the First Division of the Chilean professional football league. The proposed approach considers balance in the number of matches each referee must officiate, the frequency of each referee being assigned to a given team, the distance each referee must travel over the course of a season, and the appropriate pairings of referee experience or skill category with the importance of the matches. Two methodologies are studied, one traditional and the other a pattern-based formulation inspired by the home-away patterns for scheduling season match calendars. Both methodologies are tested in real-world and experimental instances, reporting results that improve significantly on the manual assignments. The pattern-based formulation attains major reductions in execution times, solving real instances to optimality in just a few seconds, while the traditional one takes anywhere from several minutes to more than an hour. © 2013 International Federation of Operational Research Societies Published by John Wiley & Sons Ltd, 9600 Garsington Road, Oxford, OX4 2DQ, UK and 350 Main St, Malden, MA02148, USA.  |l eng 
593 |a Departamento de Ingeniería Industrial, Universidad de Chile, Santiago, 8370439, Chile 
593 |a Departamento de Matemática e Instituto de Cálculo, FCEyN, Universidad de Buenos Aires, Argentina 
593 |a CONICET, Aires, Buenos, C1428EGA, Argentina 
593 |a Department of Business and Management Science, NHH Norwegian School of Economics, Bergen, N-5045, Norway 
690 1 0 |a FOOTBALL 
690 1 0 |a INTEGER LINEAR PROGRAMMING 
690 1 0 |a PATTERNS 
690 1 0 |a REFEREE ASSIGNMENT 
690 1 0 |a SPORTS SCHEDULING 
690 1 0 |a INTEGER PROGRAMMING 
690 1 0 |a SCHEDULING 
690 1 0 |a FOOTBALL 
690 1 0 |a INTEGER LINEAR PROGRAMMING 
690 1 0 |a PATTERNS 
690 1 0 |a REFEREE ASSIGNMENT 
690 1 0 |a SPORTS SCHEDULING 
690 1 0 |a SPORTS 
700 1 |a Durán, G. 
700 1 |a Guajardo, M. 
773 0 |d Blackwell Publishing Ltd, 2014  |g v. 21  |h pp. 415-438  |k n. 3  |p Int. Trans. Oper. Res.  |x 09696016  |t International Transactions in Operational Research 
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