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

作　　者：郭仁拥 黄海军 

机构地区：[1]School of Economics and Management, Beijing University of Aeronautics and Astronautics

出　　处：《Chinese Physics B》2008年第5期1698-1702,共5页中国物理B（英文版）

基　　金：supported by the National Basic Research Program of China (Grant No 2006CB705503);the National Natural Science Foundation of China (Grant No 70521001)

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.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.

关 键 词：traffic assignment user equilibrium dynamical system STABILITY 

分 类 号：O157.5[理学—数学]