V.Ja. KOPP, M.V. ZAMORYNOV, N.I. CHALENKOV.
THE NUMERICAL METHOD OF THE PHASE INTEGRATION OF NON-REGENERATING SEMI-MARKOV SYSTEMS


We consider a new approach to the modeling of non-regenerating semi-Markov systems based on the proposed lemma and the theorem, which was proved on this basis of the time distribution function for a semi-Markov system in a subset of continuous states, taking into account both the simple and complex recovery process. This theorem allows for the phase coherence of systems with a common phase space without a preliminary determination of the stationary distribution of the embedded Markov chain. To confirm the correctness of the proposed modeling method, an example of an analysis of the functioning of a non-regenerative system is given, which is taken as the service device in the presence of non-devaluating failures. The simulation is performed both by the well-known classical method and in the article. Comparison of simulation results showed almost complete coincidence.

Keywords: non-regenerating semi-Markov system, phase coarsening; recovery process, distribution function, continuous states, unimpaired refusals
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