Fast formula of a reliability ofm-consecutive-k-out-of-n:F system with cyclek |
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Authors: | N Ghoraf and M Boushaba |
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Institution: | (1) Department of Mathematics, Faculty of Sciences, University of Constantine, 25000 Constantine, Algeria |
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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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Keywords: | m-Consecutive-k-out-of-n F system consecutive-k-out-of-n F system cyclek failure probability |
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