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论文类型：期刊论文

发表时间：2009-04-01

发表刊物：PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

收录刊物：SCIE、EI

卷号：388

期号：7

页面范围：1289-1298

ISSN号：0378-4371

关键字：Cascading failure; Scale-free network; BA network; Critical threshold; Breakdown probability

摘要：Considering that not all overload nodes will be removed from networks due to some effective measures to protect them, we propose a new cascading model with a breakdown probability. Adopting the initial load of a node j to be L(j) = [k(j)(Sigma(m is an element of Gamma j) k(m))](alpha) with k(j) and Gamma(j) being the degree of the node j and the set of its neighboring nodes, respectively, where a is a tunable parameter, we investigate the relationship between some parameters and universal robustness characteristics against cascading failures on scale-free networks. According to a new measure originated from a phase transition from the normal state to collapse, the numerical simulations show that Barabasi-Albert (BA) networks reach the strongest robustness level against cascading failures when the tunable parameter alpha = 0.5, while not relating to the breakdown probability. We furthermore explore the effect of the average degree < k > for network robustness, thus obtaining a positive correlation between < k > and network robustness. We then analyze the effect of the breakdown probability on the network robustness and confirm by theoretical predictions this universal robustness characteristic observed in simulations. Our work may have practical implications for controlling various cascading-failure-induced disasters in the real world. (C) 2008 Elsevier B.V. All rights reserved.