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Approximation of Reliability for a large systemwith 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 andgeneral repair rate. When all components are reliable and easily reparable,the reliability of the system can be evaluated from the probability q offailure before restoration. In [14], authors give an asymptoticapproximation 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.

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

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