中国物理B ›› 2008, Vol. 17 ›› Issue (5): 1698-1702.doi: 10.1088/1674-1056/17/5/027

• GENERAL • 上一篇    下一篇

Dynamical evolution processes of traffic flow and travel cost in urban transportation networks

郭仁拥, 黄海军   

  1. School of Economics and Management, Beijing University of Aeronautics and Astronautics, Beijing 100083, China
  • 收稿日期:2007-08-13 修回日期:2007-09-10 出版日期:2008-05-20 发布日期:2008-05-20
  • 基金资助:
    Project supported by the National Basic Research Program of China (Grant No 2006CB705503) and the National Natural Science Foundation of China (Grant No 70521001).

Dynamical evolution processes of traffic flow and travel cost in urban transportation networks

Guo Ren-Yong(郭仁拥) and Huang Hai-Jun(黄海军)†   

  1. School of Economics and Management, Beijing University of Aeronautics and Astronautics, Beijing 100083, China
  • Received:2007-08-13 Revised:2007-09-10 Online:2008-05-20 Published:2008-05-20
  • Supported by:
    Project supported by the National Basic Research Program of China (Grant No 2006CB705503) and the National Natural Science Foundation of China (Grant No 70521001).

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摘要： Considering such a fact that travellers dynamically adjust their routes and the resultant link traffic flows in a network evolve over time, this paper proposes a dynamical evolutionary model of the traffic assignment problem with endogenous origin--destination (OD) demands. The model's stability is analysed and the resultant user equilibrium (UE) state is shown to be stable under certain conditions. Numerical results in a grid network indicate that the model can generate convergent flow patterns and finally terminates at the UE state. Impacts by the parameters associated with OD demand function and link cost function are also investigated.

Abstract: Considering such a fact that travellers dynamically adjust their routes and the resultant link traffic flows in a network evolve over time, this paper proposes a dynamical evolutionary model of the traffic assignment problem with endogenous origin--destination (OD) demands. The model's stability is analysed and the resultant user equilibrium (UE) state is shown to be stable under certain conditions. Numerical results in a grid network indicate that the model can generate convergent flow patterns and finally terminates at the UE state. Impacts by the parameters associated with OD demand function and link cost function are also investigated.

Key words: traffic assignment, user equilibrium, dynamical system, stability

中图分类号:  (Granular models of complex systems; traffic flow)

  • 45.70.Vn
89.40.Bb (Land transportation)