An effective system of sports competition management

• Authors: Roman SZOSTEK
• Languages of publication: EN

Abstracts

EN

An innovatory system of managing sports competitions has been presented. Its advantages with regard to other currently used systems are discussed. A theorem connected with such a system has been presented in the last section of the paper. Sports competitions aim to establish a ranking of the participating teams. This consists of sorting teams according to a quality which can be thought of as the ability to win matches. Direct measurement of this quality is not possible, since the ability to win matches depends on a great variety of factors being difficult to determine. Nevertheless, it is possible to compare any two teams if they play a match. These matches are played under normal rules. In turn, all the rules valid during sports competitions, outside the matches, make a system of sport competition. Sorting sports teams differs from typical problems of sorting. The result of a comparison of teams is sometimes misleading. It happens that a team with a greater ability to win matches loses a match to a team with a smaller ability to win matches. Thus, the problem of sorting teams is a probabilistic problem. Due to this reason, traditional sorting methods are ineffective in terms of managing sports competitions.

Keywords

EN

sports games; championships; system of sports competitions; probabilistic sorting; computational complexity

• Publisher: Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
• Journal: Operations Research and Decisions
• Year: 2011
• Volume: 21
• Issue: 1
• Pages: 65-75

Contributors

author

Roman SZOSTEK

• The Faculty of Management Department of Quantitative Methods in Economics, Rzeszów University of Technology, Wincentego Pola 2, 35-959 Rzeszów, Poland

References

• Illustrated Encyclopaedia of Sports, Muza S.A. Publ., Poland, 2001 (in Polish).
• HAREL D., Algorythmics: the Spirit of Computing, Pearson Education, 1992.
• MITZENMACHER MI., UPFAL E., Probability and Computing. Randomized Algorithms and Probabilistic Analysis, Cambridge University Press, 2006.
• WIRTH N ., Algorithms + Data Structures = Programs, Prentice Hall, 1976.