On reliability bounds via conditional inequalities

On reliability bounds via conditional inequalities

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Article ID: iaor1999129
Country: United Kingdom
Volume: 35
Issue: 1
Start Page Number: 104
End Page Number: 114
Publication Date: Mar 1998
Journal: Journal of Applied Probability
Authors: ,
Keywords: risk
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.

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