中国高速铁路网络拓扑特性分析

Topological Characteristics Analysis of China Railway High speed Network

以高速铁路站点开通现状和列车开行情况为基础,分别构建了中国高速铁路的地理网络和运输网络,并运用复杂网络理论对构建的网络进行了拓扑结构分析.定量计算了网络度与度分布、聚集系数和平均路径长度三个统计指标,根据结果判断出高速铁路地理网络具有无标度网络的特点而高速铁路运输网络具有小世界网络的特点.同时应用网络的特征谱分析了网络的拓扑特性,和统计指标计算的结果具有一致性,为高速铁路网络规划,运输产品设计和日常运行调整提供了理论建议.

Based on the status quo of high speed railway station opening and train operation,the geographic network and transportation network of China Railway High speed(CRH)are constructed respectively,and the topological structure of the constructed network is analyzed by using complex network theory.The three statistical index network degree and degree distribution,clustering coefficient and average path length are calculated quantitatively.The results show that the geographic network of CRH has the characteristics of scale free network while the transportation network of CRH has the characteristics of small world network.At the same time,the characteristic spectrum of the network is applied to analyze the topological characteristics of the network,which is consistent with the results of statistical index calculation.It provides theoretical suggestions for CRH network planning,transportation product design and daily operation adjustment.