Incremental stochastic model for the temporal distribution of peak traffic demand

This paper presents the incremental stochastic user equilibrium (ISUE) model for predicting how travellers select their departure times from an origin in a single origin-destination pair system if they have desired times of arrival at the destination. The temporal distribution of the peak traffic is the result of commuters' selections of departure times. The stochastic user equilibrium (SUE) model is one of the techniques for estimating this distribution, but is computationally cumbersome to apply. In addition, existence and uniqueness of the solution to the SUE formulation and its approximations have not been proven. The ISUE is another approximation to the SUE, and it is based on an approach for which existence and uniqueness of the solution have been established.