The robustness of interdependent weighted networks

Fan Wang, Lixin Tian, Ruijin Du and Gaogao Dong

Physica A: Statistical Mechanics and its Applications, 2018, vol. 508, issue C, 675-680

Abstract: We analysis the cascading failure of interdependent weighted networks based on percolation theory and local weighted flow redistribution rule. The weight of a node is Biθ, where Bi is the betweenness of the node. We assume that the two networks A and B of size NA andNB are BA networks, and suppose two different one-to-one interdependent network, one is random, the other based on nodes’ betweenness. Assume that a failed node in network A leads to a redistribution of the flow passing through it to its neighboring nodes and the interdependent node in network B also to be disabled, where the two failure factors happen concurrently, or successively. We find that the one-to-one random interdependent weighted complex network reaches the strongest robustness level when the weight parameter θ =0.5, no matter cascading failure caused by two failure factors happen concurrently, or successively. And when the interdependent relationship based on nodes’ betweenness, θ=0.7 to get the strongest robustness level.

Keywords: Cascading failure; Percolation theory; Redistribution rule (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:508:y:2018:i:c:p:675-680

DOI: 10.1016/j.physa.2018.05.110

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