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Stochastic Models of Cascading Failures

Part of: Mathematical economics Operations research and management science

Published online by Cambridge University Press:  14 July 2016

Andrew W. Swift
Andrew W. Swift*
Affiliation:
University of Nebraska at Omaha
*
∗Postal address: Department of Mathematics, University of Nebraska at Omaha, 6001 Dodge Street, Omaha NE 68182, USA. Email address: [email protected]
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Abstract

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What is a ‘cascading failure’? Whilst most people have an intuitive idea of what is meant by cascading, no definition exists within the framework of reliability theory. The aim of this paper is to explore the field of component dependence within a network structure, and to construct a definition of cascading failure.

Keywords

Reliabilitycascading failureparallel redundant system

MSC classification

Secondary: 91B70: Stochastic models 90B25: Reliability, availability, maintenance, inspection
Type
Research Article
Information
Journal of Applied Probability , Volume 45 , Issue 4 , December 2008 , pp. 907 - 921
Copyright
Copyright © Applied Probability Trust 2008 

References

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