Abstract
We propose two types of extended time-of-day user equilibrium assignment models for an urban road network including expressways in this paper. In time-of-day traffic assignment it is significant to modify traffic demand remained on route at the end of a study period. These models are able to modify the traffic demand in considering the toll load for expressway. In the models the user equilibrium conditions are also able to be held based on travel time forarterial road users but based on general travel time considering the toll load for expressway users. These new models are applied to the arterial road network and the results show good accuracy and practicability.