Stochastic transit assignment with congested public transportation system

This paper studies the congested transit assignment problem. We analyze transit network and study the augmented stochastic user equilibrium condition, a stochastic transit assignment model is proposed and a variational inequality model is built. The model can simultaneously predict how passengers will choose their optimal routes and estimate passenger flows in a congested transit networks. Based on the penalty function approach, an algorithm is presented. Finally, the algorithm is illustrated with a numerical example, the results show that the algorithm is quite satisfied.