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Optimization Models and Methods for Equilibrium Traffic Assignment

  • Very comprehensive treatment of the traffic assignment problem
  • Analytical solutions and clear examples of discussed problems help the reader to learn quickly
  • Application-oriented way of presentation

Part of the book series: Springer Tracts on Transportation and Traffic (STTT, volume 15)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xi
  2. Traffic Flow Issues

    1. Front Matter

      Pages 1-1
    2. Introduction

      • Alexander Krylatov, Victor Zakharov, Tero Tuovinen
      Pages 3-13
  3. Optimization Traffic Assignment Models

    1. Front Matter

      Pages 15-15
    2. Principles of Wardrop for Traffic Assignment in a Road Network

      • Alexander Krylatov, Victor Zakharov, Tero Tuovinen
      Pages 17-43
    3. Nash Equilibrium in a Road Network with Many Groups of Users

      • Alexander Krylatov, Victor Zakharov, Tero Tuovinen
      Pages 45-70
  4. Optimization Traffic Assignment Methods

    1. Front Matter

      Pages 71-71
    2. Methods for Traffic Flow Assignment in Road Networks

      • Alexander Krylatov, Victor Zakharov, Tero Tuovinen
      Pages 73-100
    3. Parallel Decomposition of a Road Network

      • Alexander Krylatov, Victor Zakharov, Tero Tuovinen
      Pages 101-118
  5. Optimization Models and Methods for Network Design

    1. Front Matter

      Pages 119-119
    2. Topology Optimization of Road Networks

      • Alexander Krylatov, Victor Zakharov, Tero Tuovinen
      Pages 121-140
    3. Optimal Transit Network Design

      • Alexander Krylatov, Victor Zakharov, Tero Tuovinen
      Pages 141-176
  6. Networking Issues

    1. Front Matter

      Pages 177-177
    2. Transportation Processes Modelling in Congested Road Networks

      • Alexander Krylatov, Victor Zakharov, Tero Tuovinen
      Pages 179-204
    3. Load Flow Estimation in a Transmission Network

      • Alexander Krylatov, Victor Zakharov, Tero Tuovinen
      Pages 205-228

About this book

This book is focused on the discussion of the traffic assignment problem, the mathematical and practical meaning of variables, functions and basic principles. This work gives information about new approaches, methods and algorithms based on original methodological technique, developed by authors in their publications for the past several years, as well as corresponding prospective implementations. The book may be of interest to a wide range of readers, such as civil engineering students, traffic engineers, developers of traffic assignment algorithms etc. The obtained results here are to be used in both practice and theory.
 
This book is devoted to the traffic assignment problem, formulated in a form of nonlinear optimization program. The most efficient solution algorithms related to the problem are based on its structural features and practical meaning rather than on standard nonlinear optimization techniques or approaches. The authors have carefully considered the meaning of the traffic assignment problem for efficient algorithms development. 

Reviews

“The book presents, in an accessible and elegant way, equilibrium traffic assignment problems. … This monograph is recommended to researchers and graduate students interested in the mathematical aspects of the equilibrium traffic assignment, as well as in methods and algorithms.” (Laura Scrimali, Mathematical Reviews, February, 2021)

Authors and Affiliations

  • Institute of Transport Problems, Russian Academy of Sciences, Saint Petersburg, Russia

    Alexander Krylatov

  • Faculty of Applied Mathematics and Control Processes, Saint Petersburg State University, Saint Petersburg, Russia

    Victor Zakharov

  • Faculty of Information Technology, University of Jyväskylä, Jyväskylä, Finland

    Tero Tuovinen

Bibliographic Information

  • Book Title: Optimization Models and Methods for Equilibrium Traffic Assignment

  • Authors: Alexander Krylatov, Victor Zakharov, Tero Tuovinen

  • Series Title: Springer Tracts on Transportation and Traffic

  • DOI: https://doi.org/10.1007/978-3-030-34102-2

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

  • Hardcover ISBN: 978-3-030-34101-5Published: 06 December 2019

  • Softcover ISBN: 978-3-030-34104-6Published: 06 December 2020

  • eBook ISBN: 978-3-030-34102-2Published: 26 November 2019

  • Series ISSN: 2194-8119

  • Series E-ISSN: 2194-8127

  • Edition Number: 1

  • Number of Pages: XI, 228

  • Number of Illustrations: 7 b/w illustrations, 22 illustrations in colour

  • Topics: Transportation Technology and Traffic Engineering, Optimization, Game Theory

Buy it now

Buying options

eBook USD 149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access