Dynamic Travel Choice Models, Softcover reprint of the original 1st ed. 1999 A Variational Inequality Approach

Contains up-to-date and accessible material, plus all the necessary mathematical background. By verifying the asymmetric property of the dynamic link travel time function, while identifying the inflow, exit flow and number of vehicles on a physical link as three different states over time, the author adopts a variational inequality approach using one time-space link variable. This is then used to formulate problems with deterministic, stochastic and fuzzy traffic information. The book is thus of particular interest to those readers involved in aspects of model formulation, solution algorithm, equivalence analysis and numerical examples.

Analysis of Dynamic Transportation Systems: Introduction.- Significance of Dynamic Transportation Network Models.- Traffic Information and Transportation Network Models.- Equilibrium over Transportation Networks.- Dynamic Equilibrium Conditions.- Scope and Organization of the Book.- Mathematical Background: Variational Inequality Problem and Some Related Mathematical Problems.- Existence and Uniqueness.- Solution Algorithms.- Notes.- Network Flow Constraints and Link Travel Time Function Analysis: Flow Conservation Constraints.- Flow Propagation Constraints.- Nonnegativity Constraints.- Definitional Constraints.- First-In-First-Out Constraints.- Link Capacity and Oversaturation.- Link Travel Time Function Analysis.- Notes.- Dynamic User-Optimal Route Choice Model: Equilibrium Conditions and Model Formulation.- Numerical Example.- Static Counterpart Approximation.- Multiple Optima.- Notes.- Algorithms for the Dynamic Route Choice Model: Link Interactions.- Nested Diagonalization Method.- Nested Projection Method.- Modified Nested Projection Method.- Numerical Example.- Notes.- Dynamic User-Optimal Departure Time/Route Choice Model: Equilibrium Conditions and Model Formulation.- Nested Diagonalization Method.- Numerical Examples.- Analysis Period and Total Number of Time Intervals.- Notes.- Dynamic User-Optimal Models with Variable Demand: Dynamic User-Optimal Variable Demand/Route Choice Model.- Dynamic User-Optimal Variable Demand/Departure Time/Route Choice Model.- Notes.- Dynamic User-Optimal Mode Choice Models: Dynamic User-Optimal Mode Choice/Route Choice Model.- Dynamic User-Optimal Mode Choice/Departure Time/Route Choice Model.- Notes.- Dynamic User-Optimal Singly Constrained O-D Choice Models: Dynamic User-Optimal Singly Constrained O-D Choice/Route Choice Model.- Dynamic User-Optimal Singly Constrained O-D Choice/Departure Time/Route Choice Model.-Notes.- Dynamic System-Optimal Route Choice Model: Marginal Link Travel Time Function Analysis.- Equilibrium Conditions and Model Formulation.- Nested Diagonalization Method.- Numerical Example.- Comparison of Network Travel Times for the DSO and DUO Route Choice Problems.- Static Counterpart Approximation.- Braess`s Paradox.- Toll Policies.- Notes.- Dynamic Signal Control Systems: Dynamic Network Signal Control System.- Dynamic Traffic-Responsive Signal Control System.- Notes.- Stochastic/Dynamic User-Optimal Route Choice Model: Stochastic/Dynamic Route Travel Time Function Analysis.- Equilibrium Conditions and Model Formulation.- Nested Diagonalization Method.- Numerical Example.- Deterministic Counterpart Approximation.- Braess`s Paradox.- Notes.- Fuzzy/Dynamic User-Optimal Route Choice Model: Fuzzy/Dynamic Link Travel Time Function Analysis.- Equilibrium Conditions and Model Formulation.- Nested Diagonalization Method.- Numerical Example.- Fuzzy/Static Counterpart Approximation.- Notes.- Future Research and Applications: Research Directions.- Applications.- Notes.