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Avtomatika i Telemekhanika, 2017, Issue 1, Pages 137–151 (Mi at14417)  

This article is cited in 3 scientific papers (total in 3 papers)

Safety, Viability, Reliability, Technical Diagnostics

Reliability of repairable reserved systems with failure aftereffect

S. V. Gurova, L. V. Utkinb

a St. Petersburg State Forest Engineering University, St. Petersburg, Russia
b Peter the Great St. Petersburg Polytechnical University, St. Petersburg, Russia
References:
Abstract: We propose new models for analyzing the reliability of repairable systems with failure aftereffect, when the probability distribution of an element's time to failure changes only during the time when another element is being repaired. The key idea here is the so-called coupling principle for various probability distributions when the system's operation conditions or the “residual lifetime preservation condition” change. We show a method for constructing a system of integral equations as a universal tool for modeling the reliability of systems under the assumption that time to failure of each element obeys the Weibull distribution.
Keywords: reliability, aftereffect, repairable system, integral equations, failure, load, time to failure, Weibull distribution.
Funding agency Grant number
Russian Foundation for Basic Research 15-08-01415-а
This work was supported by the Russian Foundation for Basic Research, project no. 15-08-01415-a.
Presented by the member of Editorial Board: P. P. Parkhomenko

Received: 18.01.2015
English version:
Automation and Remote Control, 2017, Volume 78, Issue 1, Pages 113–124
DOI: https://doi.org/10.1134/S000511791701009X
Bibliographic databases:
Document Type: Article
PACS: 02.50.-r Probability theory, stochastic processes, and statistics
Language: Russian
Citation: S. V. Gurov, L. V. Utkin, “Reliability of repairable reserved systems with failure aftereffect”, Avtomat. i Telemekh., 2017, no. 1, 137–151; Autom. Remote Control, 78:1 (2017), 113–124
Citation in format AMSBIB
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\by S.~V.~Gurov, L.~V.~Utkin
\paper Reliability of repairable reserved systems with failure aftereffect
\jour Avtomat. i Telemekh.
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\issue 1
\pages 137--151
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\transl
\jour Autom. Remote Control
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\vol 78
\issue 1
\pages 113--124
\crossref{https://doi.org/10.1134/S000511791701009X}
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Linking options:
  • https://www.mathnet.ru/eng/at14417
  • https://www.mathnet.ru/eng/at/y2017/i1/p137
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Avtomatika i Telemekhanika
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    References:62
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