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Point process approach to modeling and analysis of general cascading failure models

Published online by Cambridge University Press:  24 March 2016

Hyunju Lee and
Ji Hwan Cha
Hyunju Lee
Affiliation:
Department of Statistics, Ewha Womans University, Seoul, 120-750, Korea.Email address: hyunjlee@ewhain.net
Ji Hwan Cha*
Affiliation:
Department of Statistics, Ewha Womans University, Seoul, 120-750, Korea.
*
*** Email address: jhcha@ewha.ac.kr
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Abstract

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A cascading failure is a failure in a system of interconnected parts in which the failure of a part can trigger the failure of successive parts. Although an initial and introductory approach for probabilistic modeling and analysis of the cascading failures was suggested in the literature, any general framework and fundamental results have yet to be reported. In this paper, applying the point process approach, we suggest a general framework for modeling and analysis of the cascading failures. Furthermore, a new concept of 'information-based residual lifetime' will be defined and discussed.

Keywords

Cascading failurestochastic intensityk-out-of-n systemrisk measureinformation-based residual lifetime

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 53 , Issue 1 , March 2016, pp. 174 - 186
Copyright
Copyright © Applied Probability Trust 2016 

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