An m-consecutive-k-out-of-n: F system is a system of n linearly arranged components which fails if and only if at least m non-overlapping sequences of k components fail, when there are k distinct components with failure probabilities qi for i = 1,…,k and where the failure probability of the j-th component (j = rk + i (1 ≤ i ≤ k)) is qj = qi, we call this system by an m-consecutive-k-out-of-n: F system with cycle (or period) k. In this paper we give a formula of the failure probability of m-consecutive-k-out-of-n: F system with cycle k via the failure probability of consecutive-k-out-of-n: F system.
