Abstract:In view of the limitation of the traffic environment influence on the traveling route choices, the corre- sponding traffic assignment model was built and the related augmented Lagrange multiplier method was designed. Firstly, based on the features of traffic environment influence, the constraints of limiting environment influence were divided into independent link constraint, independent node constraint and block limitation constraint. Sec- ondly, by adding the environment influence limitation into the classical user equilibrium model, the traffic as- signment model with environment influence was obtained. Through defining the generalized travel time and using the KKT conditions, the principle of selecting route corresponding to the new model was analyzed. Finally, an augmented Lagrange multiplier method embedding the Frank -Wolfe algorithm was designed to solve the new model. The numerical example verified the effectiveness of the new model and method. This research not only extends the research viewpoint of the traffic assignment theory, but also provides the theoretical support for traf- fic administrators when environment influence is considered.