Reliability and Failure Functions of the Consecutive k-out-of-m-from-n: F Linear and Circular System

Abstract

The consecutive k-out-of-m-from-n: F system consists of n components ordered linearly or circularly, it fails if, and only if among any m-consecutive components, there is at least k failed components. In this paper, a new algorithm to find the reliability and the failure functions of the consecutive k-out-of-m-from-n: F linear and circular systems is obtained