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Optimal Consecutive-2-out-of-n:F Component Sequencing

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1 Author(s)
Malon, David M. ; Department of Industrial Engineering; State University of New York; Buffalo, New York 14260 USA.

A consecutive-k-out-of-n:F system is an ordered linear arrangement of n components that fails if and only if at least k consecutive components fail. When the components are not necessarily equally likely to fail, the problem of interest is to assign components to positions in the system in a way that minimizes the probability of system failure. This paper shows that when k = 2 and component failures are s-independent, the optimal configuration can be determined without knowledge of the exact particular component-failure probabilities, but with knowledge of the component ranks (in terms of failure probability).

Published in:

Reliability, IEEE Transactions on  (Volume:R-33 ,  Issue: 5 )

Date of Publication:

Dec. 1984

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