Traffic Equilibrium Methods

1. Front Matter

   Pages N2-XXIII

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2. General Modelling Considerations

   1. Traffic Equilibrium Methods: The Structure of Model Research

      • John D. Murchland

      Pages 1-10

   2. Equilibrium Models in Use: Practical Problems and Proposals for Transport Planning

      • Mark R. Wigan

      Pages 11-52

3. Theoretical Studies

   1. Traffic Equilibria Analysed via Geometric Programming

      • Michael A. Hall, Elmor L. Peterson

      Pages 53-105

   2. Integrated Equilibrium Flow Models for Transportation Planning

      • Stella C. Dafermos

      Pages 106-118

   3. Equilibrium Versus Optimum in Public Transportation Systems

      • Martin J. Beckmann

      Pages 119-131

   4. Statistical Equilibrium

      • Arne Jensen

      Pages 132-146

   5. Transportation Model with Elastic Constraints

      • R. Hamerslag

      Pages 147-147

4. Computational Methods

   1. A Unified Approach to Equilibrium Methods for Traffic Assignment

      • Sang Nguyen

      Pages 148-182

   2. Network Equilibrium Capabilities for the UMTA Transportation Planning System

      • Earl R. Ruiter

      Pages 183-199

   3. Application of Error Measures to Traffic Assignment Results

      • Richard E. Nestle

      Pages 200-200

   4. Some Models for Combining the Trip Distribution and Traffic Assignment Stages in the Transport Planning Process

      • Suzanne P. Evans

      Pages 201-228

   5. Multiple Route Assignment: A Comparison of Two Methods

      • J. E. Burrell

      Pages 229-239

5. Dynamic Traffic Assignment Methods

   1. Emulation of Dynamic Equilibrium in Traffic Networks

      • Sam Yagar

      Pages 240-264

   2. A Model and an Algorithm for the Dynamic Traffic Assignment Problem

      • Deepak K. Merchant, George L. Nemhauser

      Pages 265-273

6. Traffic Equilibrium and Traffic Control

   1. Area Traffic Control and Network Equilibrium

      • Nathan Gartner

      Pages 274-297

   2. Evaluation of Freeway Corridor Assignment Equilibria

      • Maxence P. Orthlieb, Adolf D. May

      Pages 298-321

7. Model Components

   1. Supply Functions for Public Transport: Initial Concepts and Models

      • Edward K. Morlok

      Pages 322-367

   2. A Note on the Economic Interpretation of Delay Functions in Assignment Problems

      • Marc Gaudry

      Pages 368-381

8. Applications of Traffic Equilibrium Methods

   1. Recent Experience with Equilibrium Methods for the Study of a Congested Urban Area

      • Michael Florian, Sang Nguyen

      Pages 382-395

The interest in the mathematical modeling of transportation systems stems from the need to predict how people might make use of new or improved transport infrastruc­ ture in order to evaluate the benefit of the required investments. To this end it is necessary to build models of the demand for transportation and models that de­ termine the way in which people who travel use the transportation network. If such models may be constructed and their validity reasonably assured, then the predic­ tion of the traffic flows on future and present transportation links may be carried out by simulating future situations and then evaluating the potential benefits of alternative improvement projects. In the attempts that were made to construct mathematical models of transportation networks, the notion of equilibrium plays a central role. Suppose that the demand for transportation, that is, the number of trips that occur between the - rious origins and destinations is known. Then it is necessary to determine how these trips are attracted to the alternative routes available between origins and destinations. Knight (1924), gave a simple and intuitively clear description of the behaviour of road traffic under conditions of congestion.

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• networks
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• traffic
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• transportation
• transportation systems

• Université de Montréal, Montreal 101, Canada

  Michael A. Florian

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