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Scheduling Argentina’s professional basketball leagues: A variation on the Travelling Tournament Problem

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  • Durán, Guillermo
  • Durán, Santiago
  • Marenco, Javier
  • Mascialino, Federico
  • Rey, Pablo A.

Abstract

Operations research methods are applied to design the season schedules of Argentina’s professional basketball leagues using a format adopted in 2014 by the top two divisions. Following the setup used by the National Basketball Association (NBA) in North America, games are played any day of the week and away games are scheduled in road trips of one to four consecutive games. The main scheduling objective is to reduce the teams’ total travel distance compared to previous season formats through the use of predetermined trips submitted by the teams. The mathematical form of the problem is a variation on the well-known Travelling Tournament Problem. The modelling is divided into two successive stages, the first one defining the sequences in which each team plays the other teams and the second one assigning the days on which each game is played. Both stages use integer programming models that incorporate a series of constraints reflecting criteria requested by the Argentine Basketball Club Association. Implementation of the models has generated average travel distance reductions of more than 30% per away game, with consequential benefits in lower travel costs and less player fatigue.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:275:y:2019:i:3:p:1126-1138
    DOI: 10.1016/j.ejor.2018.12.018
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    References listed on IDEAS

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    1. Guillermo Durán & Mario Guajardo & Facundo Gutiérrez, 2022. "Efficient referee assignment in Argentinean professional basketball leagues using operations research methods," Annals of Operations Research, Springer, vol. 316(2), pages 1121-1139, September.
    2. Guillermo Durán, 2021. "Sports scheduling and other topics in sports analytics: a survey with special reference to Latin America," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(1), pages 125-155, April.
    3. Guillermo Durán & Mario Guajardo & Facundo Gutiérrez & Javier Marenco & Denis Sauré & Gonzalo Zamorano, 2021. "Scheduling the Main Professional Football League of Argentina," Interfaces, INFORMS, vol. 51(5), pages 361-372, September.
    4. Yi, Xiajie & Goossens, Dries & Nobibon, Fabrice Talla, 2020. "Proactive and reactive strategies for football league timetabling," European Journal of Operational Research, Elsevier, vol. 282(2), pages 772-785.
    5. David Van Bulck & Dries Goossens, 2022. "Optimizing rest times and differences in games played: an iterative two-phase approach," Journal of Scheduling, Springer, vol. 25(3), pages 261-271, June.
    6. 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.
    7. 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.
    8. Xiajie Yi & Dries Goossens, 2023. "Strategies for dealing with uncertainty in time-relaxed sports timetabling," Annals of Operations Research, Springer, vol. 320(1), pages 473-492, January.
    9. Goller, Daniel & Krumer, Alex, 2020. "Let's meet as usual: Do games played on non-frequent days differ? Evidence from top European soccer leagues," European Journal of Operational Research, Elsevier, vol. 286(2), pages 740-754.
    10. Song, Kai & Shi, Jian, 2020. "A gamma process based in-play prediction model for National Basketball Association games," European Journal of Operational Research, Elsevier, vol. 283(2), pages 706-713.
    11. Tasbih Tuffaha & Burak Çavdaroğlu & Tankut Atan, 2023. "Round-robin scheduling with regard to rest differences," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 31(2), pages 269-301, July.

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