On a new stochastic model for cascading failures

In this paper, to model cascading failures, a new stochastic failure model is proposed. In a system subject to cascading failures, after each failure of the component, the remaining component suffers from increased load or stress. This results in shortened residual lifetimes of the remaining compone...

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Bibliographic Details
Published inJournal of applied probability Vol. 57; no. 4; pp. 1150 - 1161
Main Author Lee, Hyunju
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.12.2020
Applied Probability Trust
Subjects
Accelerated life tests
Accelerated tests
Age
Failure
Failure analysis
Lifetime
Model testing
Random variables
Research Papers
Stochastic models
Stress
k-out-of-n system
62P30
stochastic intensity
accelerated life test model
Cascading failure
usual stochastic order
60K10
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Summary:In this paper, to model cascading failures, a new stochastic failure model is proposed. In a system subject to cascading failures, after each failure of the component, the remaining component suffers from increased load or stress. This results in shortened residual lifetimes of the remaining components. In this paper, to model this effect, the concept of the usual stochastic order is employed along with the accelerated life test model, and a new general class of stochastic failure models is generated.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:0021-9002
1475-6072
DOI:10.1017/jpr.2020.68