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Limit theorems and approximations for the reliability of load-sharing systems

Published online by Cambridge University Press:  01 July 2016

Richard L. Smith
Richard L. Smith*
Affiliation:
Imperial College, London
*
∗Postal address: Imperal College of Science and Technology, Department of Mathematics, Huxley Building, Queens' Gate, London SW7 2BZ, U.K.
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Abstract

Techniques for studying the reliability of simple series or parallel systems are well known. This paper is concerned with more complicated systems in which the load on failed elements is transmitted to unfailed elements according to some load-sharing rule. The emphasis is on local load sharing, and in particular on a specific load-sharing rule introduced by Harlow and Phoenix for fibrous composites. Earlier results are reviewed and improved techniques for approximating the probability of failure and the size effect are derived.

Keywords

BUNDLES OF FIBRESSERIES–PARALLEL SYSTEMSLOCAL LOAD SHARINGSIZE EFFECTEXTREME-VALUE THEORY
Type
Research Article
Information
Advances in Applied Probability , Volume 15 , Issue 2 , June 1983 , pp. 304 - 330
Copyright
Copyright © Applied Probability Trust 1983 

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