A stochastic traffic equilibrium model and algorithm with combined mode

In order to investigate the stochastic traffic equilibrium assignment, the super-network theory is applied to describe the traffic network with combined mode. The mode and route choices are considered to be stochastic under elastic demand. Using the network equilibrium theory, an equivalent variational inequality model is proposed after analyzing the network equilibrium conditions. Moreover, the existence and uniqueness of an optimal solution are given. A solution algorithm for solving the model is proposed and validated by a numerical example. The influences of different parameters to OD demand and flow distribution are analyzed. These results show that this model can reflect the combined travel behavior more practically and has a certain generality.