In view of the preferences of different user groups for various travel indices of public transit, this paper formulated a corresponding variational inequality model(VIM) of transit assignment that combined multiple transit modes. Firstly, this paper made use of the conception of supernetwork to describe the transit behaviors in transfer zones, upload zones and download zones in a virtual network. Secondly, it presented a transit assignment VIM based on the user equilibrium principle. It proved monotone of the feature mapping of VIM to guarantee the feasibility of the following algorithm. To solve the above VIM, this paper proposed a modified projected gradient method based on gradually generating the effective paths and proved the effectiveness of the new algorithm theoretically. At last, the numerical experiment verified the efficiency of the new model and the algorithm. The research result can provide theoretical and technical support to the analysis of transit flow with multiple modes.

[2021-08-05] Printed Article /doc/2020.12.0376/v2