Autoregressive cascades on random networks

Srikanth K. Iyer, Rahul Vaze and Dheeraj Narasimha

Physica A: Statistical Mechanics and its Applications, 2016, vol. 447, issue C, 345-354

Abstract: A network cascade model that captures many real-life correlated node failures in large networks via load redistribution is studied. The considered model is well suited for networks where physical quantities are transmitted, e.g., studying large scale outages in electrical power grids, gridlocks in road networks, and connectivity breakdown in communication networks, etc. For this model, a phase transition is established, i.e., existence of critical thresholds above or below which a small number of node failures lead to a global cascade of network failures or not. Theoretical bounds are obtained for the phase transition on the critical capacity parameter that determines the threshold above and below which cascade appears or disappears, respectively, that are shown to closely follow numerical simulation results.

Keywords: Random graphs; Trees; Cascade; Stability; Networks (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:447:y:2016:i:c:p:345-354

DOI: 10.1016/j.physa.2015.12.030

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