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Traffic Equilibrium Methods

Proceedings of the International Symposium Held at the Université de Montréal, November 21–23, 1974

  • Conference proceedings
  • © 1976

Overview

Editors:
  1. Michael A. Florian

    1. Université de Montréal, Montreal 101, Canada

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Part of the book series: Lecture Notes in Economics and Mathematical Systems (LNE, volume 118)

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Table of contents (23 papers)

  1. Front Matter

    Pages N2-XXIII
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  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

  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

  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
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Keywords

About this book

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.

Editors and Affiliations

  • Université de Montréal, Montreal 101, Canada

    Michael A. Florian

Bibliographic Information

  • Book Title: Traffic Equilibrium Methods

  • Book Subtitle: Proceedings of the International Symposium Held at the Université de Montréal, November 21–23, 1974

  • Editors: Michael A. Florian

  • Series Title: Lecture Notes in Economics and Mathematical Systems

  • DOI: https://doi.org/10.1007/978-3-642-48123-9

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin · Heidelberg 1976

  • Softcover ISBN: 978-3-540-07620-9Published: 01 March 1976

  • eBook ISBN: 978-3-642-48123-9Published: 06 December 2012

  • Series ISSN: 0075-8442

  • Series E-ISSN: 2196-9957

  • Edition Number: 1

  • Number of Pages: XXIV, 435

  • Number of Illustrations: 9 b/w illustrations

  • Topics: Operations Research/Decision Theory, Physics, general

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