Linear m-gap-consecutive k-out-of-r-from-n system with common supply failures

In this paper, we consider a linear m-gap-consecutive k-out-of-r-from-n: F system consisting of different elements. The elements are subjected to common cause failures, i.e., an external or internal failure which affects mutually exclusive sets of elements. Common cause failure usually occurs when a set of elements share the same energy resource. Based on the universal generating function technique, we propose a reliability evaluation algorithm for a linear m-gap-consecutive k-out-of-r-from-n: F system consisting of different elements subjected to common cause failures in this paper.