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Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie, 2016, Volume 9, Issue 4, Pages 117–128
DOI: https://doi.org/10.14529/mmp160411 (Mi vyuru349) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Programming & Computer Software

Simulation of relay-races

E. V. Larkina, V. V. Kotova, A. N. Ivutina, A. N. Privalovb

a Tula State University, Tula, Russian Federation
b Tula State Pedagogical University, Tula, Russian Federation
Full-text PDF (502 kB) Citations (14)
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DOI: https://doi.org/10.14529/mmp160411
Abstract: It is shown that multistage concurrent games, or relay-races, are widely used in practice. It is proposed to model relay-races in the state space, in which discrete co-ordinates are the mathematical analogue of stages, which participants pass in the current time, and basic principle of modelling of residence of participant in space states is the $M$-parallel semi-Markov process. With use of the proposed formalisms formulae for evaluation of stochastic and time characteristics of relay-races evolution are obtained. For arbitrary realization of switching trajectory the recurrent procedure of evolution with evaluation of stochastic and time characteristics of realization under investigation is worked out. Conception of distributed forfeit, which depends on difference of stages of participants compete in pairs is introduced. Dependence for evaluation of total forfeit for every participant is obtained.
Keywords: relay-race; concurrent game; $M$-parallel semi-Markov process; distance; stage; state space; evolution; distributed forfeit; trajectory realization; recurrent procedure.
Funding agency Grant number
Russian Foundation for Basic Research 16-41-710160_р_а
The reported study was partially supported by RFBR and Tula Region Government, research project No. 16–41–710160 r_a.
Received: 03.06.2016
Bibliographic databases:
Document Type: Article
UDC: 519.83
MSC: 93A30
Language: English
Citation: E. V. Larkin, V. V. Kotov, A. N. Ivutin, A. N. Privalov, “Simulation of relay-races”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 9:4 (2016), 117–128
Citation in format AMSBIB
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\by E.~V.~Larkin, V.~V.~Kotov, A.~N.~Ivutin, A.~N.~Privalov
\paper Simulation of relay-races
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2016
\vol 9
\issue 4
\pages 117--128
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\crossref{https://doi.org/10.14529/mmp160411}
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    • This publication is cited in the following 14 articles:
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