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New improved bounds for reliability of consecutive-k-out-of-n:F systems

Part of: Operations research and management science Combinatorial probability Special processes

Published online by Cambridge University Press:  14 July 2016

Marco Muselli
Marco Muselli*
Affiliation:
Italian National Research Council
*
∗ Postal address: Institute for Electronic Circuits, Italian National Research Council, 16149 Genoa, Italy. Email address: muselli@ice.ge.cnr.it
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Abstract

New bounds are found for the reliability of consecutive-k-out-of-n:F systems with equal component failure probabilities. The expressions involved are simple, thus allowing a direct use in the derivation of theoretical properties.

These bounds can also be employed in numerical computations when the value of n or k is so large that the exact calculation of the reliability is not achievable. Comparisons show that the approximation errors exhibited by these new formulas are lower than those of other widely used bounds.

Keywords

Consecutive k-out-of-n:F systemreliabilitylower boundupper boundapproximation error

MSC classification

Primary: 60C05: Combinatorial probability
Secondary: 60K10: Applications (reliability, demand theory, etc.) 90B25: Reliability, availability, maintenance, inspection
Type
Short Communications
Information
Journal of Applied Probability , Volume 37 , Issue 4 , December 2000 , pp. 1164 - 1170
Copyright
Copyright © by the Applied Probability Trust 2000 

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