A.S. Shukurov.
Asymptotic results for a semi-Markov process describing the behavior of somestochastic systems

A semi-Markov process with discrete interference of events with one screen, which describes the behavior of a stochastic system with partial recovery of the resource, is investigated. A semi-Markov process is constructed and asymptotic formulas are found for the mathematical expectation and variance of the first moment when the semi-Markov process enters the zero state.

Keywords: Semi-Markov process, Partial recovery, Recovery rate, Asymptotic methods, Stochastic model