Reliability of a cold-standby redundant system with heterogeneous elements. P. 2. Approximate determination of reliability characteristics

Abstract

The problem of approximately determining the reliability characteristics of a redundant cold-reserve system with unlimited recovery in a non-homogeneous case is considered. For the constructed semi-Markov model with a phase space of states of a general form, under the condition of “rapid” recovery of the system’s elements, the algorithm of asymptotic phase merging is applied, which makes it possible to obtain formulas for the approximate determination of steady-state reliability characteristics in a non-homogeneous case and to analyze their errors. In addition, an expression is obtained for the approximate calculation of the probability of failure-free operation of the system under consideration. The research results can be used to analyze the reliability of redundant radio engineering, information, energy, and some other systems at their design and operation stages.