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A branching scheme for minimum cost tournaments with regard to real-world constraints

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  • D Briskorn

    (Universität zu Köln)

Abstract

Single round robin tournaments are a well-known class of sports leagues schedules. We consider leagues with a set T of n teams where n is even. Costs are associated with each possible match. Moreover, stadium availability, fixed matches, and regions’ capacities are taken into account. The goal is to find the minimum cost tournament among those having the minimum number of breaks and being feasible with regard to these additional constraints. A branching scheme is developed where branching is done by fixing a break for a team. Thus, the focus is on identifying breaks leading to an infeasible home away pattern set in order to avoid the resulting infeasible subtrees of a branch and bound tree.

Suggested Citation

  • D Briskorn, 2011. "A branching scheme for minimum cost tournaments with regard to real-world constraints," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(12), pages 2133-2145, December.
    • Handle: RePEc:pal:jorsoc:v:62:y:2011:i:12:d:10.1057_jors.2010.185
    DOI: 10.1057/jors.2010.185
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    References listed on IDEAS

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    1. Rasmussen, Rasmus V. & Trick, Michael A., 2008. "Round robin scheduling - a survey," European Journal of Operational Research, Elsevier, vol. 188(3), pages 617-636, August.
    2. Guillermo Durán & Mario Guajardo & Jaime Miranda & Denis Sauré & Sebastián Souyris & Andres Weintraub & Rodrigo Wolf, 2007. "Scheduling the Chilean Soccer League by Integer Programming," Interfaces, INFORMS, vol. 37(6), pages 539-552, December.
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    4. Dries Goossens & Frits Spieksma, 2009. "Scheduling the Belgian Soccer League," Interfaces, INFORMS, vol. 39(2), pages 109-118, April.
    5. Rasmussen, Rasmus V. & Trick, Michael A., 2007. "A Benders approach for the constrained minimum break problem," European Journal of Operational Research, Elsevier, vol. 177(1), pages 198-213, February.
    6. Drexl, Andreas & Knust, Sigrid, 2007. "Sports league scheduling: Graph- and resource-based models," Omega, Elsevier, vol. 35(5), pages 465-471, October.
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