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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

Information

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

Barlow, R. E. and Proschan, F. (1975) Statistical Theory of Reliability and Life Testing Probability Models. Holt, Rinehart and Winston, New York.Google Scholar
Barzilovich, E. Yu., Belyaev, Yu. K., Kashtanov, V. A., Kovalenko, I. N., Solovyev, A. D. and Ushakov, I. A. (1983) Problems of Mathematical Reliability Theory (in Russian). Radio i svyazh, Moscow.Google Scholar
Gnedenko, D. B. and Solovyev, A. D. (1975) Estimation of the reliability of complex renewable systems. Engineering Cybernet. N.3.Google Scholar
Klimov, G. P. (1966) Stochastic Service Systems (in Russian). Nauka, Moscow.Google Scholar