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Linear Dependence in Consecutive k-out-of-n: F Systems

Published online by Cambridge University Press:  27 July 2009

Philip J. Boland ,
Frank Proschan  and
Y. L. Tong
Philip J. Boland
Affiliation:
Department of StatisticsUniversity College, Belfield, Dublin 4, Ireland
Frank Proschan
Affiliation:
Department of StatisticsThe Florida State University Tallahassee, Florida 32306-3033
Y. L. Tong
Affiliation:
School of Mathematics Georgia Institute of Technology, Atlanta, Georgia 30332
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Abstract

A consecutive k−out−of-n: F system is a coherent system of n-ordered components that functions if and only if there is no consecutive run of k failures among the components. Examples of such systems exist in telecommunications, oil pipelines, and integrated circuitry. Most of the research in reliability of consecutive k−out-of-n: F systems assumes that the components function independently of one another. In this paper, we develop a model incorporating positive dependence between adjacent components and show that for k ≥ (n + l)/2, the reliability of the system is a decreasing function of this dependence.

Type
Articles
Information
Probability in the Engineering and Informational Sciences , Volume 4 , Issue 3 , July 1990 , pp. 391 - 397
Copyright
Copyright © Cambridge University Press 1990

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References

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