超网络视角下的城市交通枢纽重要度判别方法研究

Study on Method for Discriminating Importance of Urban Transport Hub from Perspective of Super Network

为克服复杂网络理论难以满足一体化、综合化、成网化城市交通枢纽网络系统建模需求,导致城市枢纽网络元素异质性特征刻画不全和枢纽内部结构特征丢失,进而带来重要度判别偏差大的问题,首先,基于超网络理论,定义并构建了城市交通枢纽超网络模型。其次,结合枢纽实际结构特征和枢纽超网络模型特征,提出了超边横向选择度和纵向选择度指标,并基于此构造了超边选择度指标。接着,介绍了超网络视角下以超边选择度作为城市交通枢纽重要度的判别方法。最后,以北京城市交通枢纽为研究对象,选取涉及航空、铁路、长途客运、城市公交和城市轨道交通5种交通方式的16个交通枢纽进行了建模和重要度分析。结果表明:与复杂网络建模的节点度重要度判别方法相比,超网络视角下以超边选择度为测度的城市交通枢纽重要度识别方法判别结果与实际吻合度高,能够深入挖掘因复杂网络建模被同质化的拓扑结构特征,揭示单个枢纽具有多种交通方式和枢纽间存在多种交通方式连接的功能特征;在表现规律上,超网络视角下重要度和选择度拟合结果表现了显著重尾分布和幂律分布特征,符合网络演化发展规律,验证了超网络视角下选择度为测度的重要度判别方法具有较高理论和实际价值。

To overcome the difficulty of complex network theory to meet the requirements of integrated, synthetic, and networked urban transport hub network system modeling, which leads to the incomplete depiction of heterogeneity characteristics of urban hub network elements and loss of internal structure characteristics of the hub and large deviation in importance discrimination, first, based on the super network theory, the super network model of urban transport hub is defined and constructed. Second, combining with the actual structure characteristics of the hub and the characteristics of the hub super network model, the lateral and vertical selectivity indicators of the super edge are proposed, and the super edge selection indicator is constructed accordingly. Then, the method of discriminating the importance of urban transport hub by using the super edge selectivity is introduced from the perspective of super network. Finally, taking Beijing urban transport hub as the research object, 16 transport hubs involving aviation, railway, long-distance passenger transport, urban public transport and urban rail transit are selected for modeling and importance analysis. The result shows that(1) compared with the node degree discriminating method of complex network modeling, the discriminating result of the urban transport hub importance based on the super edge selectivity from the perspective of super network is highly consistent with the actual situation, which can deeply mine the topological structure features that are homogenized due to complex network modeling, and reveal that single hub has the functional characteristics of multiple transport mode connections among multiple transport modes with hub;(2) in terms of performance rule, the fitting results of importance and selectivity from the perspective of super network show the significant heavy tailed distribution and power law distribution, which are in line with the rule of network evolution and development, and verified that the importance discrimination method with selectivity as measurement from the perspective of super network has high theoretical and practical value.It is of high theoretical and practical value to verify the importance discrimination method of selectivity as a measure from the perspective of super-network.