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Reliability estimation of a complex renewable system with an unbounded number of repair units

Published online by Cambridge University Press:  14 July 2016

A. D. Solovyev  and
D. G. Konstant
A. D. Solovyev*
Affiliation:
Moscow State University
D. G. Konstant*
Affiliation:
National Technical University, Athens
*
∗ Postal address: Department of Probability Theory, MexMat, Moscow State University, Moscow, USSR.
∗∗ Postal address: Department of Mathematics, National Technical University, Zographou Campus, 157 73 Athens, Greece.
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Abstract

In this study an asymptotical analysis of the reliability of a complex renewable system with an unbounded number of repair units is provided. The system state is given by a binary vector e(t) = [e1(t), · ··, en(t)], ei(t) = 0(1), if at moment t the ith element is failure-free (failed). We assume that at the state e the ith element has failure intensity λi(e). At the instant of failure of every element the renewal work begins and the renewal time has distribution function Gi(t). Let E_ be the set of failed system states. The goal of this study is the asymptotic estimation of the distribution of the time until the first system failure, .

Keywords

RELIABILITY ASYMPTOTIC ANALYSISREGENERATIVE PROCESS
Type
Research Papers
Information
Journal of Applied Probability , Volume 28 , Issue 4 , December 1991 , pp. 833 - 842
Copyright
Copyright © Applied Probability Trust 1991 

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References

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Gnedenko, D. B. and Solovyev, A. D. (1975) Estimation of the reliability of complex renewable systems. Engineering Cybernet. N.3.Google Scholar
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