Abstract
Critical infrastructures are defined as systems and assets, whether physical or virtual, so vital to the nation that their incapacity or destruction would have a debilitating impact on the nation’s existence. Although composed of systems that are usually designed/implemented independently, critical infrastructures are in reality interdependent: hence risks/failures will often cascade from one system to another. In this paper, we derive an efficient procedure to fully describe the cascading effects of a node failure in a network of interdependent systems. The procedure is solely based on operations on the adjacency matrix of graph representing the network. We have also shown that the analysis of the cascades can be based on a much smaller matrix that has a DAG structure. This matrix characterization of the cascade and the dimension reduction of the analysis open new opportunities in the study of cascading effects in interdependent networks. Although this paper focuses on the interdependence between the power grid and the communication system, the model presented herein easily generalizes to the interdependence of an arbitrary number of networks.
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Acknowledgement
This work was partially accomplished under NIST Cooperative Agreement No.70NANB19H063 with Prometheus Computing, LLC. The authors would like to thank Paul Patrone and Brian Cloteaux (NIST ACM Division) for their useful advice and suggestions.
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© 2020 ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering
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Gueye, A., Mbaye, B., Fall, D., Diop, A., Kashihara, S. (2020). A Matrix Model to Analyze Cascading Failure in Critical Infrastructures. In: Thorn, J., Gueye, A., Hejnowicz, A. (eds) Innovations and Interdisciplinary Solutions for Underserved Areas. InterSol 2020. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 321. Springer, Cham. https://doi.org/10.1007/978-3-030-51051-0_15
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DOI: https://doi.org/10.1007/978-3-030-51051-0_15
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