Robustness of interdependent geometric networks under inhomogeneous failures

© 2018 IFIP. Complex systems such as smart cities and smart power grids rely heavily on their interdependent components. The failure of a component in one network may lead to the failure of the supported component in another network. Components which support a large number of interdependent componen...

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Bibliographic Details
Main Authors: Kamran, Khashayar, Zhang, Jianan, Yeh, Edmund M, Modiano, Eytan H
Other Authors: Massachusetts Institute of Technology. Laboratory for Information and Decision Systems
Format: Article
Language:English
Published: Institute of Electrical and Electronics Engineers (IEEE) 2020
Online Access:https://hdl.handle.net/1721.1/126310
Description
Summary:© 2018 IFIP. Complex systems such as smart cities and smart power grids rely heavily on their interdependent components. The failure of a component in one network may lead to the failure of the supported component in another network. Components which support a large number of interdependent components may be more vulnerable to attacks and failures. In this paper, we study the robustness of two interdependent networks under node failures. By modeling each network using a random geometric graph (RGG), we study conditions for the percolation of two interdependent RGGs after in-homogeneous node failures. We derive analytical bounds on the interdependent degree thresholds (k1,k2), such that the interdependent RGGs percolate after removing nodes in Gi that support more than kj nodes in Gj (Vi, j {1,2},i ≠ j). We verify the bounds using numerical simulation, and show that there is a tradeoff between k1 and k2 for maintaining percolation after the failures.