Stochastic optimization model to simulate football games as logistics networks
*Kenan MengüçCorresponding authormenguck@itu.edu.trDepartment of Industrial EngineeringIstanbul Technical UniversityBeşiktaş, Istanbul, Turkeyorcid.org/0000-0002-7536-2124View full profile → , Nezir Aydinnzraydin@yildiz.edu.trDepartment of Industrial EngineeringYıldız Technical UniversityBeşiktaş, Istanbul, Turkeyorcid.org/0000-0003-3621-0619View full profile →
* Corresponding author · click or hover a name for details
- Received:
- 09 Jun 2021
- Published Online:
- 05 Feb 2024
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIOS-1049
- Pages:
- 1–23
Abstract
Keywords
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References
[1] Atalay, K., & Apaydın, A. : Determınıstıc Equıvalents Of Chance Constraıned Stochastıc Programmıng Problems. Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi-B Teorik Bilimler, 1(1), 1-18 (2011).
[2] Atalay, K. D., & Apaydin, A. : Gamma distribution approach in chance constrained stochastic programming model”. Journal of Inequalities and Applications, 108, 1–13 (2011).
[3] Aydin, N. : Designing reverse logistics network of end-of-life-buildings as preparedness to disasters under uncertainty. Journal of Cleaner Production, 256, 120341 (2020).
[4] Bekkers, J. J. W. : Network Theory in Association Football: Defining Play Styles Using Flow Motifs (2017).
[5] Bernstein, S. N. : On the work of PL Chebyshev in Probability Theory. Russian.) Nauchnoe Nasledie PL Chebysheva. [The Scientific Legacy of PL Chebyshev.] Vol, 1, 43-48 (1945).
[6] Casal, C. A., Maneiro, R., Ardá, T., Losada, J. L., & Rial, A. : Analysis of corner kick success in elite football. International Journal of Performance Analysis in Sport, 15(2), 430-451 (2015).
[7] Castellano, J., Álvarez, D., Figueira, B., Coutinho, D., & Sampaio, J. : Identifying the effects from the quality of opposition in a Football team positioning strategy. International Journal of Performance Analysis in Sport, 13(3), 822-832 (2013).
[8] Chassy, P., Malone, J. J., & Clark, D. P. : A mathematical model of self-organisation in football. International Journal of Performance Analysis in Sport, 18(2), 217-228 (2018).
[9] Cintia, P., Giannotti, F., Pappalardo, L., Pedreschi, D., & Malvaldi, M. : The harsh rule of the goals: Data-driven performance indicators for football teams. Paper presented at the 2015 IEEE International Conference on Data Science and Advanced Analytics (DSAA) (2015).
[10] Clemente, M. F., Martins, F. M., Couceiro, S. M., Mendes, S. R., & Figueiredo, A. J. : Inspecting teammates’ coverage during attacking plays in a football game: A case study. International Journal of Performance Analysis in Sport, 14(2), 384-400 (2014).
[11] Díaz-García, J. A., & Garay-Tápia, M. M. : Optimum allocation in stratified surveys: Stochastic programming. Computational Statistics & Data Analysis, 51(6), 3016-3026 (2007).
[12] Fleming, J., & Fleming, S. : Relative age effect amongst footballers in the English Premier League and English Football League, 2010-2011. International Journal of Performance Analysis in Sport, 12(2), 361-372 (2012).
[13] Gamble, D., Bradley, J., McCarren, A., & Moyna, N. M. : Team performance indicators which differentiate between winning and losing in elite Gaelic football. International Journal of Performance Analysis in Sport, 1-13 (2019).
[14] Garratt, K., Murphy, A., & Bower, R. : Passing and goal scoring characteristics in Australian A-League football. International Journal of Performance Analysis in Sport, 17(1-2), 77-85 (2017).
[15] Gudmundsson, J., & Horton, M. J. A. C. S. : Spatio-temporal analysis of team sports. 50(2), 22 (2017).
[16] Kawasaki, T., Sakaue, K., Matsubara, R., & Ishizaki, S. : Football pass network based on the measurement of player position by using network theory and clustering. International Journal of Performance Analysis in Sport, 19(3), 381-392 (2019).
[17] Krishnan, K., & Rao, V. J. J. O. I. E. : Inventory control in N warehouses. In, Vol. 16, pp. 212-& (1965).
[18] Kolbin, V. V., & Kolbin, V. V. : Stochastic programming (No. 14). Springer Science & Business Media (1977).
[19] Liu, H., Hopkins, W., Gómez, A. M., & Molinuevo, S. J. : Inter-operator reliability of live football match statistics from OPTA Sportsdata. International Journal of Performance Analysis in Sport, 13(3), 803-821 (2013).
[20] Malqui, J. L. S. : A visual analytics approach for passing strateggies analysis in soccer using geometric features (2017).
[21] Mengüç, K. : A Solution of a Mathematical Model Which Simulates Football Game as a Logistics Network (2019).
[22] Mclean, S., Salmon, P. M., Gorman, A. D., Dodd, K., & Solomon, C. : Integrating communication and passing networks in football using social network analysis. Science and Medicine in Football, 3(1), 29-35 (2019).
[23] Pena, J. L., & Touchette, H. J. a. p. a. : A network theory analysis of football strategies (2012).
[24] Pantuso, G. : The football team composition problem: a stochastic programming approach. Journal of Quantitative Analysis in Sports, 13(3), 113-129 (2017).
[25] Pr´ekopa A. : The use of stochastic programing for the solution of the some ploblems in statistics and probability. Technical Summary report 1983. University of Wisconsin-Madison (1978).
[26] Rahnamai Barghi, A. : Analyzing Dynamic Football Passing Network. Université d’Ottawa/University of Ottawa (2015).
[27] Rao, V., & Shrivastava, A. : Team strategizing using a machine learning approach. In 2017 International Conference on Inventive Computing and Informatics (ICICI), pp. 1032-1035. IEEE (2017, November).
[28] Sengupta, J. K., Tintner, G., & Millham, C. : “On Some Theorems of Stochastic Linear Programming with Applications”. Management Science, 10(1), 143–159 (1963).
[29] Shapiro, A., Dentcheva, D., & Ruszczyński, A. : Lectures on stochastic programming: modeling and theory. Society for Industrial and Applied Mathematics (2009).
[30] Stein, M., Janetzko, H., Seebacher, D., Jäger, A., Nagel, M., Hölsch, J., Grossniklaus, M. J. D. : How to make sense of team sport data: From acquisition to data modeling and research aspects. 2(1), 2 (2017).
[31] Taha, H. A. : Operations research: An introduction (2007).
[32] Takeuchi, J., Ramadan, R., & Iida, H. J. I. P. S. O. J. : Game refinement theory and its application to Volleyball. 2014, 1-6 (2014).
[33] Tavana, M., Azizi, F., Azizi, F., & Behzadian, M. J. S. M. R. : A fuzzy inference system with application to player selection and team formation in multi-player sports. 16(1), 97-110 (2013).
[34] Taylor, B. J., Mellalieu, D. S., James, N., & Barter, P. : Situation variable effects and tactical performance in professional association football. International Journal of Performance Analysis in Sport, 10(3), 255-269 (2010).
[35] Yu, L. E. : Effect of unidirectional transshipment on carbon emissions in supply chain from the perspective of non-cooperative game. Journal of Interdisciplinary Mathematics, 21(5), 1145-1150 (2018).
[36] Wright, M. J. J. o. t. O. R. S. : 50 years of OR in sport. 60(sup1), S161-S168 (2009).
[37] Xu, W., Liu, L., Zhang, Q., & Wang, X. : A multi-object decision-making method for location model of manufacturing industry under uncertain environment. Journal of Interdisciplinary Mathematics, 20(4), 1019-1028 (2017).




