城市公交网络是一个典型的动态有权、混合型的复杂网络,要理解其本质和演化机制,不仅需研究静态拓扑结构,还应探讨考虑了流量信息后的网络所表现出来的结构特征.本文构造了考虑公交客流量因素的公交线路加权复杂网络模型,结合北京市实际客流数据,对其网络复杂特性进行研究.统计分析表明,北京地面公交线路加权网络节点度和强度分布均服从幂律分布,并具有小的聚类系数和小的平均最短距离,加权网络是典型的无标度网络,具有负相关性的技术网络特性.研究结果可为设计和优化城市公交线网提供借鉴和参考.
Urban public transit network is a typical mixed complex network with dynamic weights. In order to understand its essence and evolving mechanism, we should not only study its static topological network, but also explore its structural characteristics when the passenger flow is distributed in the network. This paper models a weighted complex network for public transit routes based on passenger flow, and collects related data in Beijing to study its structure and complex characteristics. The statistical analysis shows that in the weighted complex network for Beijing public transit routes, the node degree and strength distribution all obey power-law functions, and clustering coefficient and average path length are relative small, therefore, the weighted network is a scale-free network, and it is disassortative mixing, which is similar to the technical network. What we have done could provide some references to design and optimize urban public transit routes.