Multimodal traffic equilibrium model based on traveler´s combined choice within super-network

The urban multimodal transport system is a regular pattern of superposition and compound of different transport modes such as car, bus and bike. In this paper, the structure of such system is fully analyzed and a super-network topology model is proposed to describe it. The traveler´s combined choice behaviors (including mode choice and route choice) are then analyzed. Accordingly, the generalized travel cost is modeled while both traveler´s properties and mode´s properties are included. Simultaneously, the link impedance function based on travel demand is formulated while the interferences between different modes are taken into account. On the basis of these, a variational inequality model is then proposed to describe multi-user equilibrium assignment for multimodal transport system. The solution algorithm is also presented. Finally, a numerical example is provided to illustrate the model and algorithm.