ABSTRACT

This chapter summarizes a new generation of dynamic network equilibrium models, incorporating dynamic travel choice problems including motorists' departure/arrival time choice and route choice. It presents a dynamic, user-optimal departure time and route choice model for a general network. Dynamic network models can be formulated based on either actual or instantaneous travel times. Route-time-based VI models have an intuitive interpretation. However, their solution requires explicit route enumeration, a computationally intractable problem for realistic networks. A general probit-type variational inequality model was formulated by assuming a general distribution of route choice dispersion. Stochastic dynamic route choice models depict route choice problems of motorists who do not have perfect information and must use their own experience and perception of traffic conditions to make travel decisions. Mode dynamic network models are formulated using the optimization approach through either optimal control or nonlinear programming methods.