Urban Traffic Dynamics: A Scale-Free Network Perspective

Details Urban Traffic Dynamics: A Scale-Free Network Perspective Urban Traffic Dynamics: A Scale-Free Network Perspective

2006-06-09

arxiv.org/abs/physics/0606086v1

Physics

Physics and Society

4 pages, 5 figures

Scientific paper

This letter propose a new model for characterizing traffic dynamics in scale-free networks. With a replotted road map of cities with roads mapped to vertices and intersections to edges, and introducing the road capacity L and its handling ability at intersections C, the model can be applied to urban traffic system. Simulations give the overall capacity of the traffic system which is quantified by a phase transition from free flow to congestion. Moreover, we report the fundamental diagram of flow against density, in which hysteresis is found, indicating that the system is bistable in a certain range of vehicle density. In addition, the fundamental diagram is significantly different from single-lane traffic model and 2-D BML model with four states: free flow, saturated flow, bistable and jammed.

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