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Scheduling A Major College Basketball Conference

Author

Listed:
  • George L. Nemhauser

    (Georgia Institute of Technology, Atlanta, Georgia)

  • Michael A. Trick

    (Carnegie Mellon University, Pittsburgh, Pennsylvania)

Abstract

The nine universities in the Atlantic Coast Conference (ACC) have a basketball competition in which each school plays home and away games against each other over a nine-week period. The creation of a suitable schedule is a very difficult problem with a myriad of conflicting requirements and preferences. We develop an approach to scheduling problems that uses a combination of integer programming and enumerative techniques. Our approach yields reasonable schedules very quickly and gave a schedule that was accepted by the ACC for play in 1997-1998.

Suggested Citation

  • George L. Nemhauser & Michael A. Trick, 1998. "Scheduling A Major College Basketball Conference," Operations Research, INFORMS, vol. 46(1), pages 1-8, February.
    • Handle: RePEc:inm:oropre:v:46:y:1998:i:1:p:1-8
    DOI: 10.1287/opre.46.1.1
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    References listed on IDEAS

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    1. James C. Bean & John R. Birge, 1980. "Reducing Travelling Costs and Player Fatigue in the National Basketball Association," Interfaces, INFORMS, vol. 10(3), pages 98-102, June.
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    Cited by:

    1. 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.
    2. Özlü, Oğuzhan & Sokol, Joel, 2016. "An optimization approach to designing a baseball scout network," European Journal of Operational Research, Elsevier, vol. 255(3), pages 948-960.
    3. 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.
    4. 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.
    5. 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.
    6. Drexl, Andreas & Knust, Sigrid, 2007. "Sports league scheduling: Graph- and resource-based models," Omega, Elsevier, vol. 35(5), pages 465-471, October.
    7. Henz, Martin & Muller, Tobias & Thiel, Sven, 2004. "Global constraints for round robin tournament scheduling," European Journal of Operational Research, Elsevier, vol. 153(1), pages 92-101, February.
    8. 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.
    9. Van Bulck, David & Goossens, Dries, 2023. "The international timetabling competition on sports timetabling (ITC2021)," European Journal of Operational Research, Elsevier, vol. 308(3), pages 1249-1267.
    10. 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.
    11. Martin Henz, 2001. "Scheduling a Major College Basketball Conference---Revisited," Operations Research, INFORMS, vol. 49(1), pages 163-168, February.
    12. Van Bulck, David & Goossens, Dries & Clarner, Jan-Patrick & Dimitsas, Angelos & Fonseca, George H.G. & Lamas-Fernandez, Carlos & Lester, Martin Mariusz & Pedersen, Jaap & Phillips, Antony E. & Rosati,, 2024. "Which algorithm to select in sports timetabling?," European Journal of Operational Research, Elsevier, vol. 318(2), pages 575-591.
    13. 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.
    14. Van Bulck, David & Goossens, Dries, 2023. "A traditional Benders’ approach to sports timetabling," European Journal of Operational Research, Elsevier, vol. 307(2), pages 813-826.
    15. van Doornmalen, Jasper & Hojny, Christopher & Lambers, Roel & Spieksma, Frits C.R., 2023. "Integer programming models for round robin tournaments," European Journal of Operational Research, Elsevier, vol. 310(1), pages 24-33.
    16. 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.
    17. Lim, A. & Rodrigues, B. & Zhang, X., 2006. "A simulated annealing and hill-climbing algorithm for the traveling tournament problem," European Journal of Operational Research, Elsevier, vol. 174(3), pages 1459-1478, November.
    18. Durán, Guillermo & Durán, Santiago & Marenco, Javier & Mascialino, Federico & Rey, Pablo A., 2019. "Scheduling Argentina’s professional basketball leagues: A variation on the Travelling Tournament Problem," European Journal of Operational Research, Elsevier, vol. 275(3), pages 1126-1138.

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