GRAMOTA Publishers suggests publishing your scientific articles in periodicals
Pedagogy. Theory & PracticePhilology. Theory & PracticeManuscript

Archive of Scientific Articles

SOURCE:   Almanac of Modern Science and Education. Tambov: Gramota, 2017. № 6. P. 83-85.
SCIENTIFIC AREA: Physical-Mathematical Sciences
To Publish Article in the Journal | To show issue content | To show all articles in section | Subject Index

License Agreement on scientific materials use.

ABOUT THE POSSIBILITY OF THE ANALYSIS OF FAIRNESS OF FORMULAE FOR SPORTS COMPETITIONS

Stepantsov Mikhail Evgen'evich
Keldysh Institute of Applied Mathematics of the Russian Academy of Sciences in Moscow


Abstract. For competitions in game sports a variety of tournament formulae is typical, and often one or another formula causes subjective discussions about its fairness. In this paper the author introduces objective mathematical concepts of fairness and completeness of the tournament formula based on the theory of binary relations, discusses their main properties, suggests methodology for calculating these characteristics based on the imitation approach to modeling and gives examples of such calculations.
Key words and phrases: математическое моделирование, имитационное моделирование, статистическое моделирование, спортивные соревнования, mathematical modeling, imitation modeling, statistical modeling, sports competitions.
Open the whole article in PDF format. Free PDF-files viewer can be downloaded here.

 

References:
  1. Aleskerov F. T., Khabina E. L., Shvarts D. A. Binarnye otnosheniya, grafy i kollektivnye resheniya. M.: GU VShE, 2006. 298 s.
  2. Kailenov A. S. Issledovanie kharakteristik formul turnirov sportivnykh sorevnovanii pri pomoshchi matematicheskogo modelirovaniya: vypusknaya kvalifikatsionnaya rabota bakalavra NIU VShE. M., 2015. 64 s.
  3. Pryadein R. B., Stepantsov M. E. Ob odnom podkhode k imitatsionnomu modelirovaniyu sportivnoi igry s diskretnym vremenem // Komp'yuternye issledovaniya i modelirovanie. 2017. T. 9. № 2. S. 271-281.
  4. Pryadein R. B., Stepantsov M. E. Ob odnom podkhode k imitatsionnomu modelirovaniyu sportivnoi igry s nepreryvnym vremenem // Komp'yuternye issledovaniya i modelirovanie. 2014. T. 6. № 3. S. 455-460.

To Publish Article in the Journal | To show issue content | To show all articles in section | Subject Index

© 2006-2021 GRAMOTA Publishers

site development and search engine optimization (seo): krav.ru