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Vestnik YuUrGU. Ser. Mat. Model. Progr., 2018, Volume 11, Issue 3, Pages 72–84 (Mi vyuru445)  

Mathematical Modelling

Discrete model of paired relay-race

E. V. Larkina, A. V. Bogomolovb, A. N. Privalovc, N. N. Dobrovolskya

a Tula State University, Tula, Russian Federation
b Burnasyan Federal Medical Biophysical Center of Federal Medical Biological Agency, Moscow, Russian Federation
c Tula State Lev Tolstoy Pedagogical University, Tula, Russian Federation

Abstract: The case of the active and passive team relay-race, in which an active team operates in accordance with rigid schedule and a passive team overcome the stage of its distance at randomly selected alternative routs during occasional time intervals is considered. Due to high complexity of classical relay-race analysis, method of simulation, based on representation of time intervals densities of passing stages routs with discrete distributions is proposed. It is shown, that after transformation of time intervals densities into discrete distributions the problem of a relay race analysis reduces to the task of analysis of two-team system with rigid schedules.
The method of sampling of densities composition with estimation a sampling error, and recursive procedure of rigid schedule relay-race analysis with calculation of forfeit are worked out. It is shown, that forfeit depends on the difference of stages, teams overcome at current time and a strategy, which active team realizes during relay-race.

Keywords: relay race; semi-Markov process; distance; stage; route; sampling; schedule; distributed forfeit.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation 2.3121.2017/PCH
The research was carried out within the state assignment of the Ministry of Education and Science of the Russian Federation (No 2.3121.2017/PCH).


DOI: https://doi.org/10.14529/mmp180306

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Document Type: Article
UDC: 519.837
MSC: 93A30
Received: 09.07.2018
Language: English

Citation: E. V. Larkin, A. V. Bogomolov, A. N. Privalov, N. N. Dobrovolsky, “Discrete model of paired relay-race”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 11:3 (2018), 72–84

Citation in format AMSBIB
\Bibitem{LarBogPri18}
\by E.~V.~Larkin, A.~V.~Bogomolov, A.~N.~Privalov, N.~N.~Dobrovolsky
\paper Discrete model of paired relay-race
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2018
\vol 11
\issue 3
\pages 72--84
\mathnet{http://mi.mathnet.ru/vyuru445}
\crossref{https://doi.org/10.14529/mmp180306}


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