Resilience analysis of urban rail transit networks integrating complex networks and attack simulation

WANG Zhongzheng; XU Yuqing

doi:10.3969/j.issn.1672-0032.2026.01.002

Abstract：To systematically evaluate the ability of urban rail transit networks to withstand uncertain disruptions,this study takes the Shijiazhuang urban rail transit(planned)network as the research object.Based on complex network theory,an undirected and unweighted topology is constructed using the Space-L method.Network characteristics are identified by computing topological parameters such as degree distribution,average path length,and clustering coefficient.Six attack strategies covering node and edge failures are designed,and network resilience under random and targeted attacks is assessed using network efficiency and the proportion of the largest connected component.Critical nodes and edges are identified through sequential single-node and single-edge failure experiments.Results show that,compared with a corresponding random network,the Shijiazhuang(planned)network yields a small-world index of s=1.110 3>1.000 0,and its degree distribution approximately follows a Poisson distribution,indicating small-world properties.The network is sensitive to targeted attacks based on node degree and node betweenness,while it exhibits stronger robustness to attacks based on edge betweenness.The impacts of different node or edge failures on network efficiency vary markedly,and static topological indicators(degree,betweenness)are not in a simple positive correspondence with the actual performance degradation caused by their failures.Resilience should be enhanced by strengthening the protection of critical stations and track sections,optimizing the network topology,and establishing a multimodal emergency intermodal system.