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Indexed by:期刊论文

Date of Publication:2009-04-01

Journal:INTERNATIONAL JOURNAL OF MODERN PHYSICS C

Included Journals:SCIE

Volume:20

Issue:4

Page Number:585-595

ISSN No.:0129-1831

Key Words:Cascading failure; critical threshold; breakdown probability; scale free; BA network

Abstract:In this paper, adopting the initial load of a node j to be L-j = k(j)(alpha), where k(j) is the degree of the node j and a is a tunable parameter that controls the strength of the initial load of a node, we propose a cascading model with a breakdown probability and explore cascading failures on a typical network, i.e., the Barabasi-Albert (BA) network with scale-free property. Assume that a failed node leads only to a redistribution of the load passing through it to its neighboring nodes. According to the simulation results, we find that BA networks reach the strongest robustness level against cascading failures when alpha = 1 and the robustness of networks has a positive correlation with the average degree (k), not relating to the different breakdown probabilities. In addition, it is found that the robustness against cascading failures has an inversely proportional relationship with the breakdown probability of an overload node. Finally, the numerical simulations are verified by the theoretical analysis.