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Approximation of Reliability for a large system with non-markovian repair-times

Jean-Louis BonJean Bretagnolle — 2010

ESAIM: Probability and Statistics

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 of failure before restoration. In [14], authors give an asymptotic approximation by monotone sequences. In the same framework, we propose, here, a bounding for and apply it in the ageing property case.

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