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Branching Based on Home-Away-Pattern Sets

In: Operations Research Proceedings 2006

Author

Listed:
  • Dirk Briskorn

    (Christian-Albrechts-Universität zu Kiel)

  • Andreas Drexl

    (Christian-Albrechts-Universität zu Kiel)

Abstract

Scheduling a sports league requires to solve a hard combinatorial optimization problem. We consider a league of a set T of n teams supposed to play in a single round robin tournament (SRRT). Accordingly, each team i ∈ T has to play against each other team j ∈ T, j ≠ i, exactly one match. The tournament is partitioned into matchdays (MD) being periods where matches can be carried out. Each team i ∈ T shall play exactly once per MD. Hence, we have a compact structure resulting in an ordered set P of n −1 MDs.

Suggested Citation

  • Dirk Briskorn & Andreas Drexl, 2007. "Branching Based on Home-Away-Pattern Sets," Operations Research Proceedings, in: Karl-Heinz Waldmann & Ulrike M. Stocker (ed.), Operations Research Proceedings 2006, pages 523-528, Springer.
    • Handle: RePEc:spr:oprchp:978-3-540-69995-8_83
    DOI: 10.1007/978-3-540-69995-8_83
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    Citations

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    Cited by:

    1. Horbach, Andrei & Bartsch, Thomas & Briskorn, Dirk, 2009. "Optimally scheduling real world sports leagues by reduction to SAT," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 646, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    2. D Briskorn & A Drexl, 2009. "A branch-and-price algorithm for scheduling sport leagues," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 84-93, January.
    3. Briskorn, Dirk, 2009. "A branching scheme for minimum cost tournaments with regard to real world constraints," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 643, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.

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