Dynamic Travel Choice Models: A Variational Inequality Approach

Traffic flow dynamics is a hot topic in transportation planning and operations research. By verifying the asymmetric property of the dynamic link travel time function and identifying the inflow, exit flow and number of vehicles on a physical link as three different states over time, a variational inequality approach using one time-space link variable is adopted in this book to formulate problems with deterministic, stochastic and fuzzy traffic information. Dynamic equilibrium conditions are ensured when the dynamic travel choice problems have been successfully solved by the proposed nested diagonalization method. The book will be of particular interest to the readers in aspects of model formulation, solution algorithm, equivalence analysis and numerical examples. It offers material that is up-to-date and accessible and provides all the necessary mathematical background.