基于复杂网络的轨道交通网络结构特性研究

本文首创性的运用复杂网络理论比较全面地分析了北京城市轨道交通网络的静态结构特性，动态加权结构特性.主要以2015年北京市地铁路网为基础，建立起轨道交通网络样本，通过计算度与度分布、平均路径长度、介数等网络统计特性分析了轨道交通网络的静态结构特性；并首次在静态网络拓扑的基础上结合了2015年北京地铁路网断面客流信息，通过计算点强度及其分布、节点加权介数、介数与点强度相关性等统计指标分析了网络的动态特性.从而解释了各个因素之间的相互作用和对北京轨道交通网络结构上的影响，为以后轨道交通的建设和运营提供了一些指导性的建议.

Research on Structural Characteristics of Urban Rail Transit Network Based on Complex Network Theory

In this paper, to study the static and dynamic structure features of Beijing metro network, complex network theory is used for the first time. Based on the structure of Beijing metro network in 2015, metro network sample is built. The paper analyzes the static structure features of metro network by computing characteristics like degree and degree distribution, betweenness centrality, average path length and so on. And, for the first time, section flows of Beijing metro is combined in static network topology. And it also analyzes the dynamic features of the network by computing characteristics like node strength and its distribution, weighted node betweenness centrality and node strength correlation and so on. Thus, the paper explains the interaction between the various factors and the impact of Beijing rail network structure, providing some guidance suggestions for the construction and operation of the rail transit in the future.