Abstract
Anm-consecutive-k-out-of-n:F system is a system ofn linearly arranged components which fails if and only if at leastm non-overlapping sequences ofk components fail, when there arek distinct components with failure probabilitiesq i fori=1,...,k and where the failure probability of thej-th component (j=rk+i (1 ≤i ≤k) isq j =q i , we call this system by anm-consecutive-k-out-of-n:F system with cycle (or period)k. In this paper we give a formula of the failure probability ofm-consecutive-k-out-of-n:F system with cyclek via the failure probability of consecutive-k-out-of-n:F system.
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Ghoraf, N., Boushaba, M. Fast formula of a reliability ofm-consecutive-k-out-of-n:F system with cyclek . Top 11, 275–283 (2003). https://doi.org/10.1007/BF02579045
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DOI: https://doi.org/10.1007/BF02579045