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Round robin tournaments and three index assignment

Author

Listed:
  • Briskorn, Dirk
  • Drexl, Andreas
  • Spieksma, Frits C. R.

Abstract

In general scheduling a sports league is a difficult combinatorial optimization problem. We study some variants of round robin tournaments and analyze the relationship with the planar three index assignment problem. The complexity of scheduling a round robin tournaments is settled by a reduction from the planar three index assignment problem. Furthermore, integer programming models are introduced. We pick up a popular idea and decompose the overall problem in order to obtain two subproblems which can be solved sequentially. The latter subproblem can be represented as a planar three index assignment problem which makes corresponding Solution techniques amenable to sports league scheduling.

Suggested Citation

  • Briskorn, Dirk & Drexl, Andreas & Spieksma, Frits C. R., 2005. "Round robin tournaments and three index assignment," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 604, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    • Handle: RePEc:zbw:cauman:604
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    References listed on IDEAS

    as
    1. Frieze, A. M., 1983. "Complexity of a 3-dimensional assignment problem," European Journal of Operational Research, Elsevier, vol. 13(2), pages 161-164, June.
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