Linear m-Consecutive k-out-of-r-From-n: F Systems
This paper proposes a new model that generalizes the linear consecutive k-out-of-r-from-n system to the case of m consecutive runs of r elements. In this model, the system consists of n linearly ordered statistically independent elements, and fails iff in each of at least m consecutive overlapping groups of r consecutive elements at least k elements fail. This system model is motivated by a heating system for moving parts. An algorithm for system reliability evaluation is suggested which is based on an extended universal moment generating function. Examples of system reliability evaluation are presented.
universal moment generating function m-consecutive k-out-of-r-from-n : f system