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Avtomatika i Telemekhanika, 2024, Issue 9, Pages 101–123
DOI: https://doi.org/10.31857/S0005231024090068
(Mi at16388)
 

This article is cited in 1 scientific paper (total 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. Rykova, N. M. Ivanovab

a 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
References:
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.
Funding agency Grant number
Russian Science Foundation 22-49-02023
Presented by the member of Editorial Board: V. M. Vishnevsky

Received: 28.06.2024
Revised: 11.07.2024
Accepted: 25.07.2024
English version:
Automation and Remote Control, 2024, Volume 85, Issue 9, Pages 805–820
DOI: https://doi.org/10.1134/S0005117924700188
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Rykov, N. M. Ivanova, “On reliability of repairable hot double redundant system with arbitrarily distributed life and repair times of its elements”, Avtomat. i Telemekh., 2024, no. 9, 101–123; Autom. Remote Control, 85:9 (2024), 805–820
Citation in format AMSBIB
\Bibitem{RykIva24}
\by V.~V.~Rykov, N.~M.~Ivanova
\paper On reliability of repairable hot double redundant system with arbitrarily distributed life and repair times of its elements
\jour Avtomat. i Telemekh.
\yr 2024
\issue 9
\pages 101--123
\mathnet{http://mi.mathnet.ru/at16388}
\crossref{https://doi.org/10.31857/S0005231024090068}
\edn{https://elibrary.ru/ZQQMZC}
\transl
\jour Autom. Remote Control
\yr 2024
\vol 85
\issue 9
\pages 805--820
\crossref{https://doi.org/10.1134/S0005117924700188}
Linking options:
  • https://www.mathnet.ru/eng/at16388
  • https://www.mathnet.ru/eng/at/y2024/i9/p101
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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