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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
Affiliation:
Department of Statistics, Ewha Womans University, Seoul, 120-750, Korea. Email address: [email protected]
Ji Hwan Cha*
Affiliation:
Department of Statistics, Ewha Womans University, Seoul, 120-750, Korea.
*
*** Email address: [email protected]

Abstract

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.

Type
Research Papers
Copyright
Copyright © Applied Probability Trust 2016 

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References

Aven, T. and Jensen, U. (1999). {Stochastic Models in Reliability. Springer, New York. CrossRefGoogle Scholar
Aven, T. and Jensen, U. (2000). A general minimal repair model. J. Appl. Prob. 37, 187197. Google Scholar
Casella, G. and Berger, R. L. (2002). Statistical Inference, 2nd edn. Thomson Learning, Pacific Grove, CA. Google Scholar
Cha, J. H. and Finkelstein, M. (2011). Stochastic intensity for minimal repairs in heterogeneous populations. J. Appl. Prob. 48, 868876. Google Scholar
Dobson, I., Carreras, B. A., Lynch, V. E. and Newman, D. E. (2007). Complex systems analysis of series blackouts: cascading failure, critical points, and self-organization. Chaos 17, 026103. Google Scholar
Finkelstein, M. and Cha, J. H. (2013). Stochastic Modeling for Reliability: Shocks, Burn-In and Heterogeneous Populations. Springer, London. Google Scholar
Motter, A. E. and Lai, Y.-C. (2002). Cascade-based attacks on complex networks. Phys. Rev. E 66, 065102. CrossRefGoogle ScholarPubMed
Swift, A. W. (2008). Stochastic models of cascading failures. J. Appl. Prob. 45, 907921. Google Scholar