城市轨道交通换乘节点与网络运行效率关系研究

换乘节点是城市轨道交通不同线路间转乘的必经场所，对城市轨道交通系统运行有重要影响.本文基于复杂网络理论，将平均路径长度、网络局部效率和网络全局效率作为网络运行效率的评价指标，研究了换乘节点比例、换乘节点衔接线路数及换乘节点分布与网络运行效率的变化关系.研究表明，网络平均路径长度随换乘节点比例、换乘节点衔接线路数增加呈幂函数降低；网络局部效率随换乘节点比例增加呈指数下降，网络全局效率随换乘节点比例增加呈对数增加且换乘效率越高，增长越明显；换乘节点衔接线路数的增加会降低网络局部效率，增加网络全局效率；换乘节点在各线路分布越均匀，网络全局效率越高.

Effect of Urban Rail Transit Transfer Nodes on Network Performance

Transfer nodes, which are the place while transferring between urban rail transit lines, have great influence to urban rail transit network performance. In this paper, the average path length, network local efficiency and network global efficiency are proposed as the network performance indexes based on complex theory. Then, the effect of transfer nodes proportion, transfer nodes connecting lines and transfer nodes distribution on the urban rail transit network performance is studied. The results show that the average path length decreases by power relate to the transfer nodes proportion and transfer nodes connecting lines. The local efficiency decline by exponential as the transfer nodes proportion increases, while the global efficiency has logarithmic growth as the transfer nodes proportion increases. Transfer efficiency may affect the global efficiency and the higher the transfer efficiency is, the effect of the transfer nodes on global efficiency is more remarkable. Moreover, the local efficiency has inverse correlation with the transfer nodes connecting lines while the global efficiency has positive correlation with the transfer nodes connecting lines. The network performs well while the transfer nodes uniformly distributed in all lines.