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- W1556934170 abstract "An r consecutive k out of n:F system is a system of n linearly arranged components which fails if r non-overlapping sequences of k components fail. When r=1 we have the classic consecutive k out of n:F system about which there is an extensive literature. In this research we study the situation where there are k distinct components with failure probabilities qi for i=1,…,k and where the failure probability of the jth component (j=mk+i(1⩽i⩽k)) is qi. We call such a system an r consecutive k out of n:F system with cycle (or period) k. We obtain exact expressions for the failure probability of an r consecutive k out of n:F system and in particular show that it is independent of the order of the k components if n is a multiple of k. Interesting applications are given for the arrangement of sport competitions and inspection procedures in quality control." @default.
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- W1556934170 date "1999-08-01" @default.
- W1556934170 modified "2023-09-24" @default.
- W1556934170 title "Consecutive k out of systems with Cycle k" @default.
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- W1556934170 doi "https://doi.org/10.1016/s0167-7152(99)00003-6" @default.
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