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带有层级结构的复杂网络级联失效模型

袁铭

物理学报Issue(22):1-8,8.
物理学报Issue(22):1-8,8.DOI:10.7498/aps.63.220501

带有层级结构的复杂网络级联失效模型

A cascading failure mo del of complex network with hierarchy structure

袁铭1

作者信息

  • 1. 天津财经大学理工学院统计系,天津 300222
  • 折叠

摘要

Abstract

In this paper, we proposes a cascading failure model for the complex network with hierarchy structure which is common in real networks. This model can be used to optimize the financial or logistic network design. The hierarchy network has a tree-shape backbone and many random hidden linkages. The branches of each node in the backbone follow normal distribution. The attack on the network is from bottom layer under the condition of incomplete information, i.e., on the assumption that the attacker cannot observe the hidden linkages. The load redistribution of the failure nodes takes into consideration the hierarchy heterogeneity, of which the network tends to redistribute extra load to intact nodes of the same or higher hierarchies. Simulation experiment shows that the topology of hierarchy network changes from small world network into random network with the variation of linkage parameters. The size of cascading failure firstly increases and then decreases with the hidden linkage ratio increasing and the network shows higher robustness when the load of failure node is redistributed to the intact node with high hierarchy. The experiments also demonstrate that the linkage parameters play a significant role in the robustness of the network because these parameters can affect the hierarchy distribution of hidden links. Therefore, in order to achieve better robustness of network, we should reasonably choose parameters in topology design and network control strategies.

关键词

复杂网络/级联失效/层级结构

Key words

complex network/cascading failure/hierarchy structure

引用本文复制引用

袁铭..带有层级结构的复杂网络级联失效模型[J].物理学报,2014,(22):1-8,8.

基金项目

国家自然科学基金(批准号71103126)资助的课题.* Project supported by the National Natural Science Foundation of China (Grant No.71103126) (批准号71103126)

物理学报

OA北大核心CSCDCSTPCD

1000-3290

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