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

Published online by Cambridge University Press:  14 July 2016

Marco Muselli*
Affiliation:
Italian National Research Council
*
Postal address: Institute for Electronic Circuits, Italian National Research Council, 16149 Genoa, Italy. Email address: [email protected]

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.

Type
Short Communications
Copyright
Copyright © by the Applied Probability Trust 2000 

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