Equilibrium and Advanced Transportation Modelling

1. Front Matter

   Pages i-xvi

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2. Parallelization of Microscopic Traffic Simulation for Att Systems Analysis

   • Jaume Barceló, Jaume L. Ferrer, David García, Michael Florian, Eric Le Saux

   Pages 1-26

3. Activity Based Travel Demand Model Systems

   • Moshe E. Ben-Akiva, John L. Bowman

   Pages 27-46

4. Passenger Assignment in Congested Transit Networks: A Historical Perspective

   • Belgacem Bouzaïene-Ayari, Michel Gendreau, Sang Nguyen

   Pages 47-71

5. Long-Term Advances in the State of the Art of Travel Forecasting Methods

   • David Boyce

   Pages 73-86

6. Stochastic Assignment to Transportation Networks: Models and Algorithms

   • Giulio Erberto Cantarella, Ennio Cascetta

   Pages 87-107

7. Solving Congestion Toll Pricing Models

   • Donald W. Hearn, Motakuri V. Ramana

   Pages 109-124

8. Side Constrained Traffic Equilibrium Models—Traffic Management Through Link Tolls

   • Torbjörn Larsson, Michael Patriksson

   Pages 125-151

9. Multicriteria Assignment Modeling: Making Explicit the Determinants of Mode or Path Choice

   • Fabien M. Leurent

   Pages 153-174

10. Hyperpath Formulations of Traffic Assignment Problems

    • Patrice Marcotte, Sang Nguyen

    Pages 175-200

11. Network Equilibria and Disequilibria

    • Anna Nagurney, Ding Zhang

    Pages 201-243

12. Shortest Path Algorithms In Transportation Models: Classical and Innovative Aspects

    • Stefano Pallottino, Maria Grazia Scutellà

    Pages 245-281

13. Bilevel And Other Modelling Approaches to Urban Traffic Management and Control

    • Michael J. Smith, Yanling Xiang, Robert A. Yarrow, Mustapha Ghali

    Pages 283-325

Each chapter in Equilibrium and Advanced Transportation Modelling develops a topic from basic concepts to the state-of-the-art, and beyond. All chapters relate to aspects of network equilibrium. Chapter One advocates the use of simulation models for the representation of traffic flow movements at the microscopic level. Chapter Two presents travel demand systems for generating trip matrices from activity-based models, taking into account the entire daily schedule of network users. Chapter Three examines equilibrium strategic choices adopted by the passengers of a congested transit system, carefully addressing line selection at boarding and transfer nodes. Chapter Four provides a critical appraisal of the traditional process that consists in sequentially performing the tasks of trip generation, trip distribution, mode split and assignment, and its impact on the practice of transportation planning. Chapter Five gives an insightful overview of stochastic assignment models, both in the static and dynamic cases. Chapters Six and Seven investigate the setting of tolls to improve traffic flow conditions in a congested transportation network. Chapter Eight provides a unifying framework for the analysis of multicriteria assignment models. In this chapter, available algorithms are summarized and an econometric perspective on the estimation of heterogeneous preferences is given. Chapter Nine surveys the use of hyperpaths in operations research and proposes a new paradigm of equilibrium in a capacitated network, with an application to transit assignment. Chapter Ten analyzes the transient states of a system moving towards equilibrium, using the mathematical framework of projected dynamical systems. Chapter Eleven discusses an in-depth survey of algorithms for solving shortest path problems, which are pervasive to any equilibrium algorithm. The chapter devotes special attention to the computation of dynamic shortest paths and to shortest hyperpaths. The final chapter considers operations research tools for reducing traffic congestion, in particular introducing an algorithm for solving a signal-setting problem formulated as a bilevel program.

• Simulation
• algorithms
• modeling
• operations research
• traffic simulation
• transport

• Université de Montréal, Canada

  Patrice Marcotte, Sang Nguyen

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