A CAPACITY RESTRAINT TRANSIT ASSIGNMENT WITH ELASTIC LINE FREQUENCY

In this paper, a new transit assignment model is proposed for the problem of determining route choice and predicting passenger flows on transit networks. The model takes into account the effects of capacity restraint and elastic line frequency. A stochastic user equilibrium model with congestion and elastic line frequency is proposed and the equivalent mathematical programming problem is also formulated. A fixed point problem with respect to the line frequency is devised since the passenger waiting time and line capacity are dependent on the line frequency. The existence of the fixed point problem has been proved, and a solution algorithm for the proposed model is presented. The application of the proposed model and solution algorithm is illustrated using a numerical example, and directions for future research are presented