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On a new stochastic model for cascading failures

Published online by Cambridge University Press:  23 November 2020

Hyunju Lee*
Affiliation:
Hankuk University of Foreign Studies
*
*Postal address: Department of Statistics, Hankuk University of Foreign Studies, Yongin17035, Republic of Korea. Email: [email protected]

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.

Type
Research Papers
Copyright
© Applied Probability Trust 2020

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