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.
Received: 13 August 2007
Revised: 10 September 2007
Accepted manuscript online:
PACS:
45.70.Vn
(Granular models of complex systems; traffic flow)
Fund: Project supported by the National
Basic Research Program of China (Grant No 2006CB705503) and the
National Natural Science
Foundation of China (Grant No 70521001).
Cite this article:
Guo Ren-Yong(郭仁拥) and Huang Hai-Jun(黄海军) Dynamical evolution processes of traffic flow and travel cost in urban transportation networks 2008 Chin. Phys. B 17 1698
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