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基于可调负载重分配的无标度网络连锁效应分析
Cascading failure of scale-free networks based on a tunable load redistribution model
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摘要: 为了深入研究复杂网络抵制连锁故障的全局鲁棒性，针对现实网络上的负载重分配规则常常是介于全局分配与最近邻分配、均匀分配与非均匀分配的特点，围绕负荷这一影响连锁故障发生和传播最重要的物理量以及节点崩溃后的动力学过程，提出了一种可调负载重分配范围与负载重分配异质性的复杂网络连锁故障模型，并分析了该模型在无标度网络上的连锁故障条件。数值模拟获得了复杂网络抵制连锁故障的鲁棒性与模型中参数的关系。此外，基于网络负载分配规则的分析以及理论解析的推导，验证了数值模拟结论，也证明在最近邻与全局分配两种规则下都存在负载分配均匀性参数等于初始负荷强度参数即β=τ使得网络抵御连锁故障的能力最强。Abstract: To better explore the robustness against cascading failures on complex networks, according to the redistribution rule of the real networks always lie between global preferential rule and local preferential rule or between even shared rule and extremely heterogeneous rule. A new cascading model is proposed based on a tunable load redistribution model. It can tune the load redistribution range and the redistribution heterogeneity of extra load respectively by a redistribution range coefficient and a redistribution heterogeneity coefficient. With this model, we further investigate cascading failures on scale-free networks in terms of numerical simulation and theoretical analysis respectively. Numerical simulation and analytic results show that the model can achieve better robustness against cascading failure than the previous model by adjusting the redistribution range and heterogeneity.
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