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The flexibility of home away pattern sets

Author

Listed:
  • Roel Lambers

    (Eindhoven University of Technology)

  • Dries Goossens

    (Ghent University)

  • Frits C. R. Spieksma

    (Eindhoven University of Technology)

Abstract

A popular approach to construct a schedule for a round-robin tournament is known as first-break, then-schedule. Thus, when given a home away pattern (HAP) for each team, which specifies for each round whether the team plays a home game or an away game, the remaining challenge is to find a round for each match that is compatible with both team’s patterns. When using such an approach, it matters how many rounds are available for each match: the more rounds are available for a match, the more options exist to accommodate particular constraints. We investigate the notion of flexibility of a set of HAPs and introduce a number of measures assessing this flexibility. We show how the so-called canonical pattern set (CPS) behaves on these measures, and, by solving integer programs, we give explicit values for all single-break HAP sets with at most 16 teams.

Suggested Citation

  • Roel Lambers & Dries Goossens & Frits C. R. Spieksma, 2023. "The flexibility of home away pattern sets," Journal of Scheduling, Springer, vol. 26(5), pages 413-423, October.
    • Handle: RePEc:spr:jsched:v:26:y:2023:i:5:d:10.1007_s10951-022-00734-w
    DOI: 10.1007/s10951-022-00734-w
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    References listed on IDEAS

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    1. Van Bulck, David & Goossens, Dries & Schönberger, Jörn & Guajardo, Mario, 2020. "RobinX: A three-field classification and unified data format for round-robin sports timetabling," European Journal of Operational Research, Elsevier, vol. 280(2), pages 568-580.
    2. Drexl, Andreas & Knust, Sigrid, 2007. "Sports league scheduling: Graph- and resource-based models," Omega, Elsevier, vol. 35(5), pages 465-471, October.
    3. 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.
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