Abstract: | This paper studies the dynamic user optimal (DUO) traffic assignment problem considering simultaneous route and departure
time choice. The DUO problem is formulated as a discrete variational inequality (DVI), with an embeded LWR-consistent mesoscopic
dynamic network loading (DNL) model to encapsulate traffic dynamics. The presented DNL model is capable of capturing realistic
traffic phenomena such as queue spillback. Various VI solution algorithms, particularly those based on feasible directions
and a line search, are applied to solve the formulated DUO problem. Two examples are constructed to check equilibrium solutions
obtained from numerical algorithms, to compare the performance of the algorithms, and to study the impacts of traffic interacts
across multiple links on equilibrium solutions. |