A multi-class approach-proportion-based dynamic user optimal route choice problem

This paper proposes an approach-proportion-based variational inequality (VI) formulation for the multi-class dynamic traffic assignment problem with physical queues using the concept of intersection movements . To solve the problem, an extragradient method that only requires mild assumptions for convergence is developed. A car-truck interaction paradox, stating that allowing trucks traveling in a network or increasing the demand of trucks traveling in a network could improve the network performance for cars, in terms of total car travel time, is discussed. Numerical examples are set up to illustrate the importance of considering multiple vehicle types and their interaction in a dynamic traffic assignment model and the effects of various parameters on the occurrence of the paradox