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On a new stochastic model for cascading failures

Part of: Special processes Applications

Published online by Cambridge University Press:  23 November 2020

Hyunju Lee
Hyunju Lee*
Affiliation:
Hankuk University of Foreign Studies
*
*Postal address: Department of Statistics, Hankuk University of Foreign Studies, Yongin17035, Republic of Korea. Email: hyunjlee@hufs.ac.kr
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Abstract

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.

Keywords

Cascading failurestochastic intensityaccelerated life test modelusual stochastic orderk-out-of-n system

MSC classification

Primary: 60K10: Applications (reliability, demand theory, etc.)
Secondary: 62P30: Applications in engineering and industry
Type
Research Papers
Information
Journal of Applied Probability , Volume 57 , Issue 4 , December 2020 , pp. 1150 - 1161
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Copyright
© Applied Probability Trust 2020

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