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Active Redundancy Allocation in Coherent Systems

Published online by Cambridge University Press:  27 July 2009

Philip J. Boland
Affiliation:
Department of Statistics University College, Dublin Belfield, Dublin 4, Ireland
Emad El Neweihi
Affiliation:
Department of Mathematics, Statistics and Computer Science University of Illinois at Chicago Chicago, Illinois 60680
Frank Proschan
Affiliation:
Department of Statistics The Florida State University Tallahassee, florida 32306-3033

Abstract

We introduce in this paper a new measure of component importance, called redundancy importance, in coherent systems. It is a measure of importance for the situation in which an active redundancy is to be made in a coherent system. This measure of component importance is compared with both the (Birnbaum) reliability importance and the structural importance of a component in a coherent system. Various models of component redundancy are studied, with particular reference to k/out / of / n systems, parallel-series systems, and series-parallel systems.

Type
Articles
Copyright
Copyright © Cambridge University Press 1988

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References

Barlow, R.E. & Proschan, F. (1981). Statistical theory of reliability and life testing: Probability models. To Begin With, Silver Spring, Md:Google Scholar
Boland, P.J. & Proschan, F. (1983). The reliability of k-out-of-n systems. Annals of Probability 11: 760764.CrossRefGoogle Scholar
Boland, P.J. & Proschan, F. (1988). Multivariate arrangement increasing functions with applications in probability and statistics. Journal of Multivariate Analysis 25: 286298.CrossRefGoogle Scholar
Hollander, M., Proschan, F., & Sethuraman, J. (1977). Functions decreasing in transposition and their applications in ranking problems. Annals of Statistics 5: 722733.Google Scholar
Marshall, A. & Olkin, I. (1979). Inequalities: Theory of majorization and its applications. New York: Academic Press.Google Scholar