高速铁路复杂网络特性与脆弱性研究

Research on the characteristics and vulnerability of complex high-speed railway network

为研究我国高速铁路的网络特性和脆弱性,利用复杂网络理论构建高铁网络模型并分析其特性,在此基础上,通过Pajek软件计算并分析节点度、平均路径长度、聚集系数、中介中心性等网络特性指标,利用改进后的节点重要度公式对重要节点城市进行挖掘,再对高铁网络进行随机攻击和蓄意攻击,通过网络效率与最大连通子图相对大小分析网络的脆弱性,结果表明:高铁网络具有小世界网络特性,随机攻击下网络表现出较好的连通性,蓄意攻击下呈现脆弱性。优先加强重要节点城市的连通性,提升高铁网络的抗毁性,可以更好地保障高速铁路运营的稳定性和可靠性,进一步促进区域经济和社会的发展。

In order to study the network characteristics and vulnerability of high-speed railway in China,the model of high-speed railway network was constructed by using complex network theory and its characteristics were analyzed.Through Pajek,the network characteristics indicators such as node degree,average path length,clustering coefficient,intermediary centrality were calculated and analyzed.The improved formula of node importance was used to mine the important node city,then,random attacks and deliberate attacks were carried out on the high-speed railway network of China,and the vulnerability of the network was analyzed by the network efficiency and the relative size of the maximum connected subgraph.The network shows good connectivity under random attack and vulnerability under intentional attack.To enhance the invulnerability of the high-speed railway network by strengthening the connectivity of the important node cities could better guarantee the stability and reliability of the high-speed railway operation in China and further promote the development of regional economy and society.