Geodesic
The method of regenerating systems modeling
Matematičeskoe modelirovanie, Tome 30 (2018) no. 6, pp. 134-144

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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, devaluate failures, stationary distribution, distribution function, recovery process.
Mots-clés : algorithm of phase consolidation 
@article{MM_2018_30_6_a7,
     author = {M. V. Zamoryonov and V. Ya. Kopp and D. V. Zamoryonova},
     title = {The method of regenerating systems modeling},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {134--144},
     publisher = {mathdoc},
     volume = {30},
     number = {6},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2018_30_6_a7/}
}
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M. V. Zamoryonov; V. Ya. Kopp; D. V. Zamoryonova. The method of regenerating systems modeling. Matematičeskoe modelirovanie, Tome 30 (2018) no. 6, pp. 134-144. http://geodesic.mathdoc.fr/item/MM_2018_30_6_a7/