轨道交通线网拓扑结构模型及节点重要度分析

Topological Structure Model and Node Importance Analysis of Rail Transit Network

轨道交通网络的建设日趋复杂,对其关键节点与重要中转站点的研究具有重要意义。运用复杂网络理论针对轨道交通网络的线网拓扑结构和节点重要度进行研究,首先构建基于二阶张量的轨道交通网络的拓扑结构模型,对模型的度和度分布、网络直径、平均路径长度、聚类系数等特征指标进行分析,并用3个中心性指标评价其网络节点重要度,然后以重庆市轨道交通网络为例对该方法进行了验证。研究结果表明:在"十七线一环"重庆市轨道交通远期的复杂网络中,仅有4%的站点只与另外一个站点直接连接,连通度较好;五里店、重庆西、沙坪坝、冉家坝4个站点对网络的连通性影响最大。

The construction of rail transit network is becoming more and more complex,and the research on its key nodes and important transit stations is of great significance.The complex network theory was used to study the network topology and node importance of rail transit network.Firstly,the topological structure model of rail transit network based on second-order tensor was constructed.Then,the feature indexes such as the degree,degree distribution,network diameter,average path length and clustering coefficient of the model were analyzed,and the network node importance was evaluated by three central indexes.Finally,the proposed method was validated with Chongqing rail transit network as an example.The results show that in the long-term complex network of Chongqing rail transit -"Seventeen Lines and One Ring",only 4% of the stations are directly connected with another station,and the connectivity of the network is quite good.The four stations of Wulidian,West Chongqing,Shapingba and Ranjiaba have the greatest impact on the connectivity of the network.