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Yushkin V.N. Evaluation of the results of the performance of teams using a mathematical model

DOI: 10.34835/issn.2308-1961.2020.11.p601-607
Evaluation of the results of the performance of teams using a mathematical model
Vladislav Nikolaevich Yushkin, the candidate of technical sciences, senior lecturer, Volgograd State Agricultural University

Introduction. The objective necessity today is to substantiate the theoretical foundations of rating systems for calculating and forming rating classifications in team sports from the position of mathematical modeling, using numerical methods of calculation. The purpose of the study was the theoretical substantiation of rating calculation using numerical methods; a description of the rating system in team sports. The methodology and organization of the study. The results of the performance of ice hockey teams in the matches of the Regular Championship of the National Hockey League were used as the research material. Chronological scope of the study: October 2, 2019 – March 11, 2020. Research results and discussion. In the course of the study, a variant of calculating a unified system of equations was carried out with the calculation of a constant indicator of the coefficient of influence of the factor of one's own field. Conclusions. The conclusion of the mathematical functional for the formation of a system of linear equations based on the results of the teams' performance in the competition is made. The form of a system of linear equations providing the only solution is presented. Mathematically substantiated formulas for calculating the rating are given. The data obtained testify to the adequacy of the constructed model and the possibility of using the rating to assess the results of performances in team sports.
Keywords: rating, system, classification, modeling, numerical method.

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Article arrived in edition 25.11.2020
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