Optimisation de la maintenance : présentation
Approximation of reliability for a large system with non-markovian repair-times
Comparison of order statistics in a random sequence to the same statistics with I.I.D. variables
The paper is motivated by the stochastic comparison of the reliability of non-repairable -out-of- systems. The lifetime of such a system with nonidentical components is compared with the lifetime of a system with identical components. Formally the problem is as follows. Let be positive independent random variables with common distribution . For and , let consider and . Remark that this is no more than a change of scale for each term. For let us define to be the th order statistics...
Comparison of order statistics in a random sequence to the same statistics with i.i.d. variables
The paper is motivated by the stochastic comparison of the reliability of non-repairable -out-of- systems. The lifetime of such a system with nonidentical components is compared with the lifetime of a system with identical components. Formally the problem is as follows. Let be positive independent random variables with common distribution . For λ > 0 and µ > 0, let consider and . Remark that this is no more than a change of scale for each term. For , let us define to be the th order...
Approximation of Reliability for a large system with non-markovian repair-times
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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