This article is cited in 1 paper

Stochastic Systems

On reliability of repairable hot double redundant system with arbitrarily distributed life and repair times of its elements

V. V. Rykov^a, N. M. Ivanova<sup>b

a</sup> Gubkin Russian State University of Oil and Gas (National Research University), Moscow
^b V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow

Abstract: The article introduces the concept of Marked Markov processes, which are used to study a repairable hot double redundant system with a single repair facility. It is assumed that components' life- and repair times follow arbitrary distributions. The proposed approach allows for calculating the system's reliability function, and its mean lifetime, as well as conducting the sensitivity analysis to the shape of input distributions. The new method was validated with numerical examples by comparing it with previously obtained analytical results and showed high accuracy.

Keywords: Marked Markov processes, hot double redundant system, arbitrarily distributed life-and repair times, reliability, sensitivity analysis.

Presented by the member of Editorial Board: V. M. Vishnevsky

Received: 28.06.2024
Revised: 11.07.2024
Accepted: 25.07.2024

DOI: 10.31857/S0005231024090068

 English version: Automation and Remote Control, 2024, 85:9, 805–820