Optimal-arrangement and importance of the components in a consecutive-k-out-of-r-from-n:F system

The authors examine: the determination of an optimal consecutive k-out-of-r-from-n:F system, under permutations of the components, and the Birnbaum-importance of components in the i.i.d. case. The authors first study (theorem 1) the optimality of a general system, with not necessarily s-identical co...

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Bibliographic Details
Published in:IEEE transactions on reliability 1991-08, Vol.40 (3), p.277-279
Main Authors: Papastavridis, S.G., Sfakianakis, M.E.
Format: Article
Language:English
Subjects:
Applied sciences
Exact sciences and technology
Inspection
Operational research and scientific management
Operational research. Management science
Position measurement
Radar detection
Reliability theory
Reliability theory. Replacement problems
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Summary:The authors examine: the determination of an optimal consecutive k-out-of-r-from-n:F system, under permutations of the components, and the Birnbaum-importance of components in the i.i.d. case. The authors first study (theorem 1) the optimality of a general system, with not necessarily s-identical components, under permutation of the components. Then they study (theorem 2) the importance of components in the i.i.d. case. Theorem 2 is readily derived from theorem 1. The main results are given in theorems 1 and 2, and proofs are given. The assumptions are: the system and each component are either good or failed: all binary component states are mutually statistically independent, and all n can be arranged in any linear order; and the system fails if and only if within r consecutive components, there are at least k failed ones.< >
ISSN:0018-9529
1558-1721
DOI:10.1109/24.85439