A Weibull Limit Law For The Failure Time Of Consecutive-k-Out-Of-m-From-n:F System With Unequal Component Reliability

摘要

We consider a consecutive-k-out-of-m-from-n:F system. This system consists of n linearly ordered components such that the system fails if and only if there are m consecutive components wich include among them at least k failed components. Our goal is to state asymptotic results concerning the failure time Z_n of the system. We suppose that the components are independent but not necessarily with equal failure distributions.