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结合复杂网络理论与城市交通网络配流方法，研究了不同网络拓扑与个体出行行为在城市交通网络上的相关动力学行为。发现对于不同的城市交通网络拓扑，用户均衡效率损失不仅是有界的，而且是有序的。进一步研究表明，无论是用户均衡还是系统最优，最小支撑树上的流量占系统总流量的比值接近一常数，且交通阻塞与流量之间存在某种共同的幂律关系。

Statistical Properties of Individual Choice Behaviors on Urban Traffic Networks

Many transportation processes and behaviors, from traffic flow movement to crowd stampede and natural fluxion, are related to the action of agents. We have investigated and quantified the interplay between topologies and the individual behavior modes (unselfish and selfish) in equilibrium urban traffic networks. In this paper, the unselfish and selfish behavior correspond to the system optimal (SO) and user equilibrium (UE) in the traffic assignment. A significant finding is that the fractions of flow for two cases are constants in the minimum spanning tree where a large number of transport task is shouldered. Additionally, we find that the upper bound of unselfish is limited and ordinal for different network topologies which, therefore, indicates large investment on SO is not an effective method to alleviate the traffic congestion caused by selfish behavior. Surprisingly, we report the phase transition from free traffic to congestion and derive a general scaling relationship between the congestion and the flow in arbitrary network topologies suggesting that the result may be practically useful for designing urban traffic networks.