Article ID: | iaor19931876 |
Country: | United States |
Volume: | 27B |
Issue: | 1 |
Start Page Number: | 49 |
End Page Number: | 63 |
Publication Date: | Feb 1993 |
Journal: | Transportation Research. Part B: Methodological |
Authors: | Smith M.J. |
Keywords: | networks: flow |
This paper presents a new dynamic model of peak period traffic flows on congested capacity-constrained urban road networks. While respecting the first in, first out (FIFO) discipline of road traffic queues and the exit capacities of road links, the model determines the (time-varying) costs incurred in traversing the various routes when (time-varying) route inflows are specified. It is proved that if this model is used to find route costs then a dynamic user equilibrium exists. The paper also gives four optimisation formulations of the dynamic user equilibrium problem. A descent algorithm is suggested; there is, as yet, no proof that the algorithm converges to an