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Devising a Cost Effective Schedule for a Baseball League

Author

Listed:
  • Robert A. Russell

    (University of Tulsa, Tulsa, Oklahoma)

  • Janny M. Y. Leung

    (University of Arizona, Tucson, Arizona)

Abstract

In this paper, we discuss the problem of devising a cost effective schedule for a baseball league. Sports scheduling is a notoriously difficult problem. A schedule must satisfy constraints on timing such as the number of games to be played between every pair of teams, the bounds on the number of consecutive home (or away) games for each team, that every pair of teams must have played each other in the first half of the season, and so on. Often, there are additional factors to be considered for a particular league, for example, the availability of venues on specific dates, home-game preferences of teams on specific dates, and balancing of schedules so that games between two teams are evenly-spaced throughout the season. In addition to finding a feasible schedule that meets all the timing restrictions, the problem addressed in this paper has the additional complexity of having the objective of minimizing travel costs. We discuss some structural properties of a schedule that meets the timing constraints and present two heuristics for finding a low-cost schedule. The methodology is used to develop an improved schedule for the Texas Baseball League.

Suggested Citation

  • Robert A. Russell & Janny M. Y. Leung, 1994. "Devising a Cost Effective Schedule for a Baseball League," Operations Research, INFORMS, vol. 42(4), pages 614-625, August.
  • Handle: RePEc:inm:oropre:v:42:y:1994:i:4:p:614-625
    DOI: 10.1287/opre.42.4.614
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    Citations

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    Cited by:

    1. Bartsch, Thomas & Kröger, Stefan, 1996. "Ein Entscheidungs-Unterstützungs-System zur Erstellung von Spielplänen für die Fußballbundesliga," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 427, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    2. Saltzman, Robert M. & Bradford, Richard M., 1996. "Optimal realignments of the teams in the National Football League," European Journal of Operational Research, Elsevier, vol. 93(3), pages 469-475, September.
    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.
    4. Urban, Timothy L. & Russell, Robert A., 2003. "Scheduling sports competitions on multiple venues," European Journal of Operational Research, Elsevier, vol. 148(2), pages 302-311, July.
    5. Lim, A. & Rodrigues, B. & Zhang, X., 2006. "Scheduling sports competitions at multiple venues--Revisited," European Journal of Operational Research, Elsevier, vol. 175(1), pages 171-186, November.
    6. Rasmussen, Rasmus V., 2008. "Scheduling a triple round robin tournament for the best Danish soccer league," European Journal of Operational Research, Elsevier, vol. 185(2), pages 795-810, March.
    7. Li, Miao & Davari, Morteza & Goossens, Dries, 2023. "Multi-league sports scheduling with different leagues sizes," European Journal of Operational Research, Elsevier, vol. 307(1), pages 313-327.
    8. Schonberger, J. & Mattfeld, D. C. & Kopfer, H., 2004. "Memetic Algorithm timetabling for non-commercial sport leagues," European Journal of Operational Research, Elsevier, vol. 153(1), pages 102-116, February.
    9. Russell, Robert A. & Urban, Timothy L., 2010. "Multicriteria models for planning power-networking events," European Journal of Operational Research, Elsevier, vol. 207(1), pages 83-91, November.
    10. Ribeiro, Celso C. & Urrutia, Sebastian, 2007. "Heuristics for the mirrored traveling tournament problem," European Journal of Operational Research, Elsevier, vol. 179(3), pages 775-787, June.
    11. Mancini Simona & Isabello Andrea, 2014. "Fair referee assignment for the Italian soccer serieA," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 10(2), pages 1-8, June.

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