A tournament scheduling model for National Basketball Association (NBA) regular season games
Abstract
Aim: This research aims to develop a mathematical programming model for the NBA tournament schedule that considers the equality of the teams that each team will face in the bracket. Professional sports leagues rely heavily on tournaments to maintain and grow their fan bases. However, there are many moving parts to consider when planning a tournament, including the dates, locations, opponents, and more.
Methodology: To level the playing field between teams, an Integer Programming (IP) model was proposed. Results Numerical experiments showed that this model could improve the NBA’s tournament format.
Novelty/Implications: To schedule the NBA’s professional sports tournaments in a balanced manner, a mathematical model has been proposed in this study. This model or the developed viewpoint can be used in various sports for tournament schedules.
References
Costa, D. 1995. “An Evolutionary Tabu Search Algorithm and the NHL Scheduling Problem.” INFOR: Information Systems and Operational Research 33(3): 161-178.
Dilkina, B. N., and Havens, W. S. 2004. “The National Football League Scheduling Problem.” Presented at the Innovative Applications of Artificial Intelligence Conference (IAAI-04), San Jose, CA.
Duran, G., Guajardo, M., and Wolf-Yadlin, R. 2012. “Operations Research Techniques for Scheduling Chile’s Second Division Soccer League.” Interfaces 42(3): 273-285.
Garcia, J., Ibanez, S. J., Martinez De Santos, R., Leite, N., and Sampaio, J. 2013. “Identifying Basketball Performance Indicators in Regular Season and Playoff Games.” Journal of Human Kinetics 36(1): 161-168.
Nemhauser, G. L., and Trick, M. A. 1998. “Scheduling a Major College Basketball Conference.” Operations Research 46(1): 1-8.
Podlog, L., Buhler, C. F., Pollack, H., Hopkins, P. N., and Burgess, P. R. 2015. “Time Trends for Injuries and Illness, and Their Relation to Performance in the National Basketball Association.” Journal of Science and Medicine in Sport 18(3): 278-282.
Ribeiro, C. C. 2012. “Sports Scheduling: Problems and Applications.” International Transactions in Operational Research 19(1-2): 201-226.
Summers, M. R. 2013. “How to Win in the NBA Playoffs: A Statistical Analysis.” American Journal of Management 13(3): 11-24.
Wright, M. B. 2006. “Scheduling Fixtures for Basketball New Zealand.” Computers & Operations Research 33(7): 1875-1893.
Wright, M. B. 2009. “50 Years of OR in Sport.” Journal of the Operational Research Society 60(1): S161-S168.
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.