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在铁路交通网络中以火车站点为网络节点,若有同一车次同向通过两站点则认为两节点间有边连接,并定义单位时间内同向通过两站点的车辆数目为边的权重.根据中国铁路交通网络实际数据分析了铁路网络的拓扑结构,分析结果表明中国铁路交通网络具有无标度特征的小世界网络特点,即较短的平均路径长度和大的簇系数,其度的分布满足幂律分布P(k)～k-1.10;度与度的相关系数r=0.244,是正相关的;具有较大度值的站点总是优先连接邻接点中度大的站点,反映了网络的连接偏好特性.利用随机行走模型并结合中国铁路网络的具体特征,研究中国铁路交通的客流问题.计算机模拟显示,在铁路交通网络中站点的流量与其对应的点权成正比,而与站点的度成非线性关系.
In the railway transportation network, train station is the network node, and if the same train passes the two stations in the same direction, it is considered that there is an edge connection between the two nodes and the weight of the vehicles passing the two stations in the same time is defined as the edge. According to China The actual data of railway traffic network analyzes the topological structure of the railway network. The analysis results show that the characteristics of the small-world network with scale-free features, that is, the short average path length and the large cluster coefficient, The distribution of the law P (k) ~ k-1.10; the correlation coefficient of degree and degree r = 0.244, is positively correlated; sites with larger degrees always preferentially connect sites with moderately large neighbors, reflecting the network connection preference Characteristics.Using the random walk model and the specific characteristics of China’s railway network to study the passenger flow of China’s rail traffic.Computer simulation shows that the traffic flow in the railway traffic network is proportional to its corresponding point weight, Linear relationship.