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Vestnik YuUrGU. Ser. Mat. Model. Progr., 2016, Volume 9, Issue 4, Pages 117–128 (Mi vyuru349)  

This article is cited in 5 scientific papers (total in 5 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

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.


DOI: https://doi.org/10.14529/mmp160411

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Bibliographic databases:

UDC: 519.83
MSC: 93A30
Received: 03.06.2016
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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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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. E. V. Larkin, D. V. Gorbachev, A. N. Privalov, “O priblizhenii potoka sobytii k puassonovskomu”, Chebyshevskii sb., 18:2 (2017), 222–234  mathnet  crossref  elib
    2. E. V. Larkin, A. V. Bogomolov, A. N. Privalov, N. N. Dobrovolsky, “Discrete model of paired relay-race”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 11:3 (2018), 72–84  mathnet  crossref  elib
    3. A. N. Privalov, Yu. I. Bogatyreva, “K voprosu optimizatsii programmnogo obespecheniya modelirovaniya kharakteristik materialov, poluchaemykh pri ispolzovanii additivnykh tekhnologii”, Chebyshevskii sb., 19:2 (2018), 234–247  mathnet  crossref  elib
    4. A. N. Privalov, E. V. Larkin, “Parallelnye polumarkovskie protsessy v zadachakh gruppovogo upravleniya ob'ektami”, Chebyshevskii sb., 19:2 (2018), 248–258  mathnet  crossref  elib
    5. E. V. Larkin, A. N. Privalov, “Modelirovanie kompyuternykh sistem s FIFO-distsiplinoi obrabotki preryvanii”, Chebyshevskii sb., 20:2 (2019), 499–511  mathnet  crossref
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