Instantaneous Stochastic Dynamic Route Choice Models

Abstract

This chapter presents an instantaneous stochastic dynamic user-optimal route choice model which is a stochastic generalization of our deterministic DUO route choice model presented in Chapter 8. In this chapter, we include only a random component in travelers’ perception of travel times. Then route choice is a process of selection among alternative routes, for which the perceived time-dependent travel times include a random error. The general probit-type variational inequality model is first formulated by assuming a general distribution of route choice dispersion. The stochastic route choice assumption is introduced into dynamic route choice problems so that our SDUO models are dynamic generalizations of conventional stochastic static user-optimal (SUO) models under the assumption of dispersed route choice.