Linear Programming as a Tool for Managing the Training Process of Esports Teams

Authors

DOI:

https://doi.org/10.17309/tmfv.2025.1.15

Keywords:

esports, management, training process, linear programming, workload, optimization

Abstract

Background. Linear programming, with its ability to account for multiple constraints and optimize linear objective functions, is a promising tool for solving training planning tasks. This method enables the development of individualized plans tailored to the specific goals of each player and the team as a whole.

Objectives. This study aimed to develop linear programming variants for automating the planning process of esports teams’ training schedules, enabling the allocation of workloads and determining the optimal distribution of time across various types of training while considering the individual characteristics of esports athletes, constraints, and diverse strategic goals.

Materials and methods. A comprehensive analysis of scientific, methodological, and specialized literature was conducted to ascertain the optimal use of resources, expert evaluation methods, linear programming, as well as statistical methods. Reliable statistical methods were employed: the dichotomous scale (results were processed using Cochran’s Q concordance coefficient, which determined the consistency of expert opinions regarding each type of training); and the ratio scale (ranking) – the consistency of opinions was analyzed using Kendall’s W concordance coefficient.

Results. An algorithm for determining the distribution of training workloads was proposed, which takes into account expert-defined ratios and constraints. To optimize the planning of the training process for esports teams, linear programming variants were developed, describing the distribution of time between different types of training as a linear programming task. Variant 1 serves for static time allocation between various training types without optimizing the distribution for specific goals. Variant 2 optimizes the time allocation, considering the individual characteristics of athletes and the strategic goals of the team. It incorporates constraints such as the total weekly training hours, the minimum required time for each type of training, and other limitations. The MS Excel Solver linear optimizer was used to find the optimal time distribution. Variant 2 facilitates the investigation of different scenarios for planning the training process of esports teams, demonstrating how the distribution of time across training types changes depending on set goals and preparation phases.

Conclusions. Based on the proposed algorithm, linear programming variants were developed, successfully addressing the task of automating the planning of esports team training. In contrast to Variant 1, Variant 2 offers an optimal distribution of time among different types of training (team training, individual training, physical activity sessions, etc.), considering the individual characteristics of players and the strategic goals of the team. It demonstrates high flexibility and adaptability to various esports disciplines, thereby allowing the investigation of different scenarios. The proposed approach can serve as a foundation for creating more advanced systems for managing the training process. Future research prospects include expanding the functionality of linear programming by incorporating additional factors such as psychological aspects, social dynamics within the team, and the physiological indicators of athletes.

Downloads

Download data is not yet available.

Author Biographies

Oksana Shynkaruk, National University of Ukraine on Physical Education and Sport

Head of the Department of Innovative and Information Technologies in Physical Education and Sport, 
Fizkultury St, 1, Kyiv, 03150, Ukraine
shi-oksana@ukr.net

Byshevets, Nataliia, National University of Ukraine on Physical Education and Sport

Department of eSports and Information Technologies,
Fizkultury St, 1, Kyiv, 03680, Ukraine
bishevets@ukr.net

Aloshyna Alla, Lesya Ukrainka Volyn National Universit

Head of the Department of Sports Theory and Physical Education, 
Voli Avenue, 13, Lutsk, Volyn region, 43025, Lutsk, Ukraine
aleshina1012@gmail.com

Iakovenko Olena, National University of Ukraine on Physical Education and Sport

Department of Esports and Information Technologies,
Fizkultury St, 1, Kyiv, 03150, Ukraine
elena1988.ia@gmail.com

Serhiienko Kostiantyn, National University of Ukraine on Physical Education and Sport

Department of Esports and Information Technologies,
Fizkultury St, 1, Kyiv, 03680, Ukraine
miytrener@gmail.com

Pinchuk Valerii, National University of Ukraine on Physical Education and Sport

Department of Esports and Information Technologies,
Fizkultury St, 1, Kyiv, 03680, Ukraine
vpinchuk@uni-sport.edu.ua

Petryk Oleksandr, National University of Ukraine on Physical Education and Sport

Department of Esports and Information Technologies,
Fizkultury St, 1, Kyiv, 03680, Ukraine
opetryk@uni-sport.edu.ua

Lut Ivan, National University of Ukraine on Physical Education and Sport

Department of Esports and Information Technologies,
Fizkultury St, 1, Kyiv, 03680, Ukraine
ivan.lut2014@gmail.com

References

Chyzmar, I. I. (2021). System formalization of esports development processes in Ukraine. Economic Bulletin of NTUU “Kyiv Polytechnic Institute”, 20, 95-105. https://doi.org/10.20535/2307-5651.20.2021.252853 DOI: https://doi.org/10.20535/2307-5651.20.2021.252853

Shynkaruk, O. (2024). Contemporary problems of esports development. Sports Bulletin of Prydniprovia, 1, 239-250. https://doi.org/10.32540/2071-1476-2024-1-239 DOI: https://doi.org/10.32540/2071-1476-2024-1-239

Bahrololloomi, F., Klonowski, F., & Sauer, S. (2023). E-Sports player performance metrics for predicting the outcome of League of Legends matches considering player roles. SN Computer Science, 4(238). https://doi.org/10.1007/s42979-022-01660-6 DOI: https://doi.org/10.1007/s42979-022-01660-6

Nagorsky, E., & Wiemeyer, J. (2020). Structure of performance and training in esports. PLoS ONE, 15(8), e0237584. https://doi.org/10.1371/journal.pone.0237584 DOI: https://doi.org/10.1371/journal.pone.0237584

Novak, A. R., Bennett, K. J., Pluss, M. A., & Fransen, J. (2020). Performance analysis in esports: Modelling performance at the 2018 League of Legends World Championship. International Journal of Sports Science & Coaching, 15(5-6), 809-817. https://doi.org/10.1177/1747954120966082 DOI: https://doi.org/10.1177/1747954120932853

Shynkaruk, O., Byshevets, N., Serhienko, K., Yakovenko, O., & Usychenko, V. (2024). Fundamentals of programming, software development, and computer systems construction: Textbook. Kyiv.

Byshevets, N., Andrieieva, O., Goncharova, N., Shynkaruk, O., Hakman, A., Usuchenko, V., & Synihovets, I. (2024). General regression modeling of the impact of physical activity on stress-related states in higher education students during military conflict. Journal of Physical Education and Sport, 24(9), 1147-1158. https://doi.org/10.7752/jpes.2024.09239 DOI: https://doi.org/10.17309/tmfv.2024.2.08

Lazko, O., Byshevets, N., Kashuba, V., Lazakovych, Yu., Grygus, I., Andreieva, N., & Skalski, D. (2021). Prerequisites for the development of preventive measures against office syndrome among women of working age. Physical Education Theory and Methodology, 21(3), 227-234. https://doi.org/10.17309/tmfv.2021.3.06 DOI: https://doi.org/10.17309/tmfv.2021.3.06

Zhuk, I. S. (2023). Mathematical models and methods for detecting potentially fixed football matches using publicly available data (Ph.D. Thesis). Kyiv, Ukraine.

Kostiukevych, V., Lazarenko, N., Adamchuk, V., Shchepotina, N., Vozniuk, T., Shynkaruk, O., Asauliuk, I., Konnov, S., & Voitenko, S. (2023). Comprehensive assessment of the preparedness of highly qualified field hockey players at the stage of direct preparation for the main competitions. Physical Education Theory and Methodology, 23(4), 581-590. https://doi.org/10.17309/tmfv.2023.4.13 DOI: https://doi.org/10.17309/tmfv.2023.4.13

Kostiukevych, V., Shynkaruk, O., Borysova, O., Voronova, V., Vozniuk, T., Doroshenko, E., Sushko, R., & Kulchytska, I. (2024). The integral assessment of playing tactics in national football teams. Physical Education Theory and Methodology, 24(5), 749-757. https://doi.org/10.17309/tmfv.2024.5.10 DOI: https://doi.org/10.17309/tmfv.2024.5.10

Bezmylov, M., Shynkaruk, O., Zhigong, Sh., Yang, L., Hanpeng, W., Xiao, L., Griban, G., Semeniv, V., Otravenko, O., Zhukovskyi, Ye., Denysovets, A., & Onufrak, A. (2024). Specific game abilities and their significance for determining the prospects of youth national basketball team players. International Journal of Human Movement and Sports Sciences, 12(4), 699-708. https://doi.org/10.13189/saj.2024.120412 DOI: https://doi.org/10.13189/saj.2024.120412

van Doornmalen, J., Hojny, C., Lambers, R., & Spieksma, F. C. R. (2023). Integer programming models for round robin tournaments. European Journal of Operational Research, 310(1), 24-33. https://doi.org/10.1016/j.ejor.2023.02.017 DOI: https://doi.org/10.1016/j.ejor.2023.02.017

Chyzmar, І. (2023). On the question of transformations of economy based on digital gaming industry. Efektyvna Ekonomika, 2. https://doi.org/10.32702/2307-2105.2023.2.58 DOI: https://doi.org/10.32702/2307-2105.2023.2.58

Byshovets, N., Honcharova, N., Yakovenko, O., & Rodionenko, M. (2020). Optimization tasks in the structure of the educational process of higher education institutions in physical culture and sports. Physical Education, Sports, and Health Culture in Modern Society, 2(50), 3-12. https://doi.org/10.29038/2220-7481-202002-03-12

Hepler, C., Thangarajah, P., & Zizler, P. (2016). Ranking in professional sports: An application of linear algebra for computer science students. In Proceedings of the 21st Western Canadian Conference on Computing Education (WCCCE ‘16) (pp. 1–4). Association for Computing Machinery. https://doi.org/10.1145/2910925.2910935 DOI: https://doi.org/10.1145/2910925.2910935

Techawiboonwong, A., & Yenradee, P. (2023). Aggregate production planning using spreadsheet solver: Model and case study. Science Asia, 28(3). https://doi.org/10.2306/scienceasia1513-1874.2002.28.291 DOI: https://doi.org/10.2306/scienceasia1513-1874.2002.28.291

Matos, C., Sola, A. V. H., Matias, G. D. S., Lermen, F. H., Ribeiro, J. L. D., & Siqueira, H. V. (2022). Model for integrating the electricity cost consumption and power demand into aggregate production planning. Applied Sciences, 12, 7577. https://doi.org/10.3390/app12157577 DOI: https://doi.org/10.3390/app12157577

Yang, D., Wang, J., He, J., & Zhao, C. (2024). A clustering mining method for sports behavior characteristics of athletes based on the ant colony optimization. Heliyon, 10, e33297. DOI: https://doi.org/10.1016/j.heliyon.2024.e33297

Valenko, T., & Klanšek, U. (2017). An integration of spreadsheet and project management software for cost optimal time scheduling in construction. Organization, Technology and Management in Construction, 9, 1627–1637. https://doi.org/10.1515/otmcj-2016-0028 DOI: https://doi.org/10.1515/otmcj-2016-0028

Alexander, M. K., Le, L., & Tsiango, C. (2018). Modeling and analysis of features of team play strategies in eSports applications. Modern Information Technologies and IT Education, 14(2), 397-407. https://doi.org/10.25559/SITITO.14.201802.397-407 DOI: https://doi.org/10.25559/SITITO.14.201802.397-407

Minami, S., Koyama, H., Watanabe, K., Saijo, N., & Kashino, M. (2024). Prediction of esports competition outcomes using EEG data from expert players. Computers in Human Behavior, 160, 108351. https://doi.org/10.1016/j.chb.2024.108351 DOI: https://doi.org/10.1016/j.chb.2024.108351

Shynkaruk, O., Lut, I., Pinchuk, V., & Vasyliyev, M. (2024). The influence of objective and subjective factors on the performance of teams in esports. Sport Science and Human Health, 2(12), 186-200. https://doi.org/10.28925/2664-2069.2024.214 DOI: https://doi.org/10.28925/2664-2069.2024.214

Downloads

Published

2025-01-30

How to Cite

Shynkaruk, O., Byshevets, N., Aloshyna , A., Iakovenko , O., Serhiienko , K., Pinchuk , V., Petryk , O., & Lut , I. (2025). Linear Programming as a Tool for Managing the Training Process of Esports Teams. Physical Education Theory and Methodology, 25(1), 120–129. https://doi.org/10.17309/tmfv.2025.1.15

Issue

Section

Original Scientific Articles

Most read articles by the same author(s)

1 2 > >>