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Approximation of Reliability for a large system with non-markovianrepair-times

Published online by Cambridge University Press:  15 August 2002

Jean-Louis Bon  and
Jean Bretagnolle
Jean-Louis Bon
Affiliation:
Laboratoire de Modélisation Stochastique et Statistique, bâtiment 425, Université Paris-Sud, 91405 Orsay Cedex, France.
Jean Bretagnolle
Affiliation:
Laboratoire de Modélisation Stochastique et Statistique, bâtiment 425, Université Paris-Sud, 91405 Orsay Cedex, France.
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Abstract

Consider a system of many components with constant failure rate and general repair rate. When all components are reliable and easily reparable, the reliability of the system can be evaluated from the probability q of failure before restoration. In [14], authors give an asymptotic approximation by monotone sequences. In the same framework, we propose, here, a bounding for q and apply it in the ageing property case.

Keywords

Reliabilityageing repairminimal cut.
Type
Research Article
Information
ESAIM: Probability and Statistics , Volume 3 , 1999 , pp. 49 - 65
Copyright
© EDP Sciences, SMAI, 1999

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