First book to present Dynamic User Equilibrium (DUE) problems and their use in transportation modeling

Presents the first synthesis of results obtained over the last decade from using differential variational inequality formalism to study the DUE problem

Provides all relevant mathematical background needed

Autorentext

Terry L. Friesz is the Harold & Inge Marcus Chaired Professor of Industrial and Manufacturing Engineering at the Pennsylvania State University, USA. He earned his Ph.D. at Johns Hopkins University. His research interests include differential congestion games, freight systems, supply chains, spatial economics, pricing, and revenue management. He is Editor-in-Chief of Networks and Spatial Economics (Springer), Founding Series Editor of Complex Networks and Dynamic Systems (Springer), and the author of several Springer books. Ke Han is Professor at School of Transportation and Logistics and Director of Institute of System Science and Engineering at Southwest Jiaotong University, China. He received his BSc degree from the University of Science and Technology of China, and his PhD at the Pennsylvania State University. He was appointed as Lecturer in 2013 and Senior Lecturer in 2018 at the Center for Transport Studies, Department of Civil and Environmental Engineering, Imperial College London, UK. His research interests include transportation, sustainability, and smart cities.

Inhalt

Introduction.- Mathematical Preliminaries.- The Variational Inequality Formulation of Dynamic User Equilibria.- The Differential Variational Inequality Formulation of Dynamic User Equilibria.- Existence of Dynamic User Equilibria.- Algorithms for Computing Dynamic User Equilibria.- Dynamic Network Loading: Non-Physical Queue Models.- Dynamic Network Loading: Physical Queue Models.- Numerical Results.