Cascading failure models are typically used to capture the phenomenon where failures possibly trigger further failures in succession, causing knock-on effects. In many networks, this ultimately leads to a disintegrated network where the failure propagation continues independently across the various components. In order to gain insight into the impact of network splitting on cascading failure processes, we extend a well-established cascading failure model for which the number of failures obeys a power-law distribution. We assume that a single line failure immediately splits the network in two components and ex-amine its effect on the power-law exponent. The results provide valuable qualitative insights that are crucial first steps toward understanding more complex network splitting scenarios.

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Stochastic Systems
Networks , Rare events: Asymptotics, Algorithms, Applications
Centrum Wiskunde & Informatica, Amsterdam (CWI), The Netherlands

Sloothaak, F., Borst, S., & Zwart, B. (2019). The impact of a network split on cascading failure processes. Stochastic Systems, 9(4), 392–416. doi:10.1287/stsy.2019.0035