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Matem. Mod., 2018, Volume 30, Number 6, Pages 134–144 (Mi mm3980)  

The method of regenerating systems modeling

M. V. Zamoryonov, V. Ya. Kopp, D. V. Zamoryonova

The Federal State Autonomous Educational Institution of Higher Education Sevastopol State University

Abstract: The article tells about a kind of algorithm of phase consolidation for regenerating systems analysis. The theorem on the stay time in a subset of continuous states is presented and proven. A modeling example of the maintenance devices with devaluate failures using this theorem and the method of trajectories is presented. A modeling results comparison of the method of trajectories and of a known from the literature method, based on the solution of Markov renewal equations, is given. The comparison has proven the accuracy of the proposed modeling method.

Keywords: semi-Markov system, method of trajectories, algorithm of phase consolidation, devaluate failures, stationary distribution, distribution function, recovery process.

Funding Agency Grant Number
Russian Foundation for Basic Research 15-01-05840_


Full text: PDF file (376 kB)
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Received: 31.01.2017

Citation: M. V. Zamoryonov, V. Ya. Kopp, D. V. Zamoryonova, “The method of regenerating systems modeling”, Matem. Mod., 30:6 (2018), 134–144

Citation in format AMSBIB
\Bibitem{ZamKopZam18}
\by M.~V.~Zamoryonov, V.~Ya.~Kopp, D.~V.~Zamoryonova
\paper The method of regenerating systems modeling
\jour Matem. Mod.
\yr 2018
\vol 30
\issue 6
\pages 134--144
\mathnet{http://mi.mathnet.ru/mm3980}


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