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Further Properties of Reliability Importance for Continuum Structure Functions

Published online by Cambridge University Press:  27 July 2009

Laurence A. Baxter  and
Seung Min Lee
Laurence A. Baxter
Affiliation:
Department of Applied Mathematics and Statistics State University of New York at Stony Brook Stony Brook, New York 11794
Seung Min Lee
Affiliation:
Department of Applied Mathematics and Statistics State University of New York at Stony Brook Stony Brook, New York 11794
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Abstract

A continuum structure function (CSF) is a nondecreasing mapping from the unit hypercube to the unit interval. The Kim-Baxter definition of the reliability importance of component i in a CSF at system level α, Ri(α), say, is reviewed. Conditions under which Ri(α) is positive, under which Ri(α) is a continuous function of α, and under which Ri(α) ≥ Rj(α) uniformly in α are presented. A simple algorithm for evaluating Ri(α) is described.

Type
Articles
Information
Probability in the Engineering and Informational Sciences , Volume 3 , Issue 2 , April 1989 , pp. 237 - 246
Copyright
Copyright © Cambridge University Press 1989

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References

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