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Cascading failures in congested scale-free networks

机译:拥塞的无标度网络中的级联故障

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In this work, we study the effect of congestion on the behavior of cascading failures in scale-free networks, where a capacity is assigned on each node (controlled by a tolerance parameter α), and traffic flows are governed by user equilibrium instead of going along the shortest paths. The effect of congestion can be described by link cost function, which denotes the time needed to travel along the link. Here we focus on studying the effect of link's practical capacity, which is a parameter in link cost function. Two different kinds of link's practical capacity are investigated, i.e. uniform case and nonuniform case. In the uniform case, each link has the same value of practical capacity. While in the nonuniform case, we assume that link's practical capacity and degrees of the link's endpoints are correlated (controlled by parameter θ, which governs the heterogeneity of link's practical capacity). Simulation results show that, in the uniform case, scale-free networks are more prone to cascading failures when increasing the value of link's practical capacity. In the nonuniform case, cascading failures in scale-free networks are very sensitive to α when θ > 0; while θ < 0, scale-free networks may suffer from serious cascading failures, regardless of α.
机译:在这项工作中,我们研究了拥塞对无标度网络中级联故障行为的影响,在无标度网络中,每个节点上分配了一个容量(由容差参数α控制),流量由用户均衡控制而不是去向。沿着最短的路径。拥塞的影响可以通过链路成本函数来描述,链路成本函数表示沿链路行进所需的时间。在这里,我们专注于研究链路实际容量的影响,而链路容量是链路成本函数中的一个参数。研究了两种不同类型的链路的实际能力,即统一情况和非统一情况。在统一情况下,每个链接具有相同的实际容量值。在非均匀情况下,我们假设链接的实际容量和链接端点的程度相关(受参数θ的控制,该参数控制链接的实际容量的异质性)。仿真结果表明,在统一情况下,无标度网络在增加链路的实际容量时更容易发生级联故障。在非均匀情况下,当θ> 0时,无标度网络中的级联故障对α非常敏感;否则,当α> 0时,级联故障对α非常敏感。当θ<0时,无标度网络可能会遭受严重的级联故障,而与α无关。

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