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On Reliability Bounds via Conditional Inequalities

Part of: Special processes Distribution theory - Probability

Published online by Cambridge University Press:  14 July 2016

M. Xie  and
C. D. Lai
M. Xie*
Affiliation:
National University of Singapore
C. D. Lai*
Affiliation:
Massey University
*
∗Postal address: National University of Singapore, Singapore 0511
∗∗Postal address: Massey University, Palmerston North, New Zealand
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Abstract

In this paper we study an approximation of system reliability using one-step conditioning. It is shown that, without greatly increasing the computational complexity, the conditional method may be used instead of the usual minimal cut and minimal path bounds to obtain more accurate approximations and bounds. We also study the conditions under which the approximations are bounds on the reliability. Some further extensions are also presented.

Keywords

Reliability theoryreliability boundsconditional approximationassociation

MSC classification

Primary: 60E15: Inequalities; stochastic orderings
Secondary: 60K10: Applications (reliability, demand theory, etc.)
Type
Research Papers
Information
Journal of Applied Probability , Volume 35 , Issue 1 , March 1998 , pp. 104 - 114
Copyright
Copyright © Applied Probability Trust 1998 

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