A WEIBULL LIMIT LAW FOR THE FAILURE TIME OF CONSECUTIVE-k-OUT-OF-m-FROM-n:F SYSTEM

摘要

A "consecutive-k-out-of-m-from-n:F system" consists of n linearly or cyclically ordered components. The system fails if and only if there exist m consecutive components among them at least k ones are failed. In this paper we consider such a system with identical components and we give under some conditions a good approximation for the unreliability of the system when the number of components becomes large. More precisely, the purpose of the present paper is to show that for any failure distribution of components the limit law of the system's unreliability is always of the Weibull class. Thus we generalize here the result given in the case when the failure distribution of components is of the Weibull. We give also some numerical examples.