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.

Received: 31.01.2017