Dynamic Travel Choice Models: A Variational Inequality Approach Book

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.- Braes&sgrave;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.- Braes&sgrave;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.