Dynamical evolution processes of traffic flow and travel cost in urban transportation networks |
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Authors: | Guo Ren-Yong and Huang Hai-Jun |
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Institution: | School of Economics and Management, Beijing University of
Aeronautics and Astronautics, Beijing 100083, China |
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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. |
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Keywords: | traffic assignment user
equilibrium dynamical system stability |
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