Wu, J.H., Florian, M. and He, S. (2006) An algorithm for multi-class network equilibrium problem in PCE of trucks: application to the SCAG travel demand model. Transportmetrica, 2 (1), 1-9.


Abstract

The analysis of mixed traffic, which includes both private and trucks has received more attention recently due to the rapid development of urban truck traffic in many cities and regions of the world. In this paper, we consider a multi-class network equilibrium model where several classes of traffic, with their own travel times, interact on the links of the network. The volume/delay functions depend on the mix of trucks and cars and other factors like the slope of the links. Hence, the resulting cost functions are nonlinear, non-smooth and asymmetric. The problem is formulated as a nonlinear, nonsmooth, variational inequality model. A linear approximation type algorithm, which uses step size based on the method of successive averages, is used to solve the problem. Numerical results are reported for a large scale problem (6 classes of traffic, 3217 zones and 99867 links).