EFFICIENT ALGORITHM FOR THE SYSTEM STATE DISTRIBUTION OF MULTI-STATE k-OUT-OF-n SYSTEM

In this study, we provide a recursive algorithm for evaluating the system state distribution of a generalized multi-state k-out-of-n system. This recursive algorithm is useful for any multi-state k-out-of-n system, including the decreasing, increasing and other non-monotonic multi-state k-out-of-n s...

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Bibliographic Details
Published inAdvanced Reliability Modeling II pp. 107 - 115
Main Authors AKIBA, TOMOAKI, YAMAMOTO, HISASHI, NAGATSUKA, HIDEKI
Format Book Chapter
LanguageEnglish
Japanese
Published WORLD SCIENTIFIC 01.07.2006
Subjects
II. Optimization in Reliability Engineering
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ISBN9814478121
9789812773760
9812567585
9789814478120
9812773762
9789812567581
DOI10.1142/9789812773760_0013

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Summary:In this study, we provide a recursive algorithm for evaluating the system state distribution of a generalized multi-state k-out-of-n system. This recursive algorithm is useful for any multi-state k-out-of-n system, including the decreasing, increasing and other non-monotonic multi-state k-out-of-n systems. We calculate the order of computing time and memory capacity of the proposed algorithm. The result of a numerical experiment shows that when n is large, the proposed algorithm is efficient for evaluating the system state distribution of multi-state k-out-of-n system.
ISBN:9814478121
9789812773760
9812567585
9789814478120
9812773762
9789812567581
DOI:10.1142/9789812773760_0013