基于节点崩溃概率的相依网络失效动力学研究
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摘要：
基于非线性负载容量关系，考虑过载节点的失效概率，建立了更符合实际的相依网络级联失效动力学模型。针对具有不同拓扑结构的2类相依网络，通过蓄意攻击负载最大的节点,，研究了在不同相依关系和耦合方式下整体网络的失效动力学性态。结果表明：根据保护资源成本，在一定程度上调整过载参数可以提高相依网络的抗毁能力。在相同的耦合方式下，多对多相依网络的鲁棒性优于一对一相依网络。当容量指数参数较小时，2类相依网络在同配耦合下的鲁棒性优于在异配耦合下，并且随着容量指数参数逐渐增大，同配耦合和异配耦合下2类相依网络的鲁棒性逐渐趋于一致。
According to the nonlinear load and capacity relationship, a realistic cascading failure dynamics model of the interdependent network was established, taking into account of the collapse probability of overloaded nodes. For interdependent networks with different topologies, the dynamic behavior of the network under different interdependence patterns and the coupling modes were investigated by deliberately attacking the node with the maximum load. The simulation results show that the robustness of the interdependent network can be improved by appropriately adiusting the value of the overload parameter according to the cost of protection resources. The multi-to-multi interdependent network is more robust than the one-to-one interdependent network under the same coupling scheme, When the capacity index parameter is small, the robustness of the two types of the interdependent networks under assortative coupling is better than that under disassortative coupling, and the robustness of interdependent networks under assortative and disassortative coupling gradually tends to be the same as the capacity index parameter increases.
作者：
杨丽新，李梦娇，党元辰，李嘉
Yang Lixin, Li Mengjiao, Dang Yuanchen, Li Jia
机构地区：
陕西科技大学数学与数据科学学院
引用本文：
杨丽新，李梦娇，,党元辰等。基于节点崩溃概率的相依网络失效动力学研究 [ ] ].河南师范大学学报(自然科学版),
2025,53(4):74-82.( Yang Lixin, Li Mengiiao, Dang Yuanchen,et al.Cascading failure on interdependent networks based on nodes' collapse probability [ J ].Journal of Henan Normal University( Natural Science Edition),2025,53(4):74-82.DO1:10.16366/j.cnki.1000-2367.2024.03.24.0001.)
基金：
国家自然科学基金
关键词：
级联失效；相依网络；鲁棒性；崩溃概率
cascading failure; interdependent network; robustness; collapse probability
分类号：
O157.5
