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The Physics of Traffic

Empirical Freeway Pattern Features, Engineering Applications, and Theory

  • Book
  • © 2004

Overview

Authors:
  1. Boris S. Kerner

    1. DaimlerChrysler AG, Stuttgart, Germany

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  • Presents a theory developed by the author to combine the recent insight into empirical data with mathematical models in freeway traffic research based on dynamical non-linear processes
  • Includes supplementary material: sn.pub/extras

Part of the book series: Understanding Complex Systems (UCS)

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Table of contents (24 chapters)

  1. Front Matter

    Pages I-XXIII
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  2. Introduction

    1. Introduction

      • Boris S. Kerner
      Pages 1-10

  3. Historical Overview and Three-Phase Traffic Theory

    1. Front Matter

      Pages 11-11
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    2. Spatiotemporal Pattern Formation in Freeway Traffic

      • Boris S. Kerner
      Pages 13-61

    3. Overview of Freeway Traffic Theories and Models: Fundamental Diagram Approach

      • Boris S. Kerner
      Pages 63-86

    4. Basis of Three-Phase Traffic Theory

      • Boris S. Kerner
      Pages 87-103

    5. Breakdown Phenomenon (F→S Transition) in Three-Phase Traffic Theory

      • Boris S. Kerner
      Pages 105-143

    6. Moving Jam Emergence in Three-Phase Traffic Theory

      • Boris S. Kerner
      Pages 145-178

    7. Congested Patterns at Freeway Bottlenecks in Three-Phase Traffic Theory

      • Boris S. Kerner
      Pages 179-215

    8. Freeway Capacity in Three-Phase Traffic Theory

      • Boris S. Kerner
      Pages 217-238

  5. Microscopic Three-Phase Traffic Theory

    1. Front Matter

      Pages 397-397
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    2. Microscopic Traffic Flow Models for Spatiotemporal Congested Patterns

      • Boris S. Kerner
      Pages 399-431
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Keywords

About this book

This monograph is devoted to a new approach to an old field of scientific investigation, freeway traffic research. Freeway traffic is an extremely complex spatiotemporal nonlinear dynamic process. For this reason, it is not surprising that empirical traffic pattern features have only recently been sufficiently understood. Such empirical features are in serious conflict with almost all earlier theoretical and model results. Consequently, the author introduced a new traffic flow theory called "three-phase traffic theory," which can explain these empirical spatiotemporal traffic patterns. The main focus of this book is a consideration of empirical spatiotemporal traffic pattern features, their engineering applications, and explanations based on the three-phase traffic theory. The book consists of four parts. In Part I, empirical studies of traffic flow patterns, earlier traffic flow theories, and mathematical models are briefly reviewed. Three-phase traffic theory is considered as well. This theory is a qualitative theory. Main ideas and results of the three-phase traffic flow the­ ory will be introduced and explained without complex mathematical models. This should be suitable for a very broad audience of practical engineers, physicists, and other readers who may not necessarily be specialists in traf­ fic flow problems, and who may not necessarily have worked in the field of spatiotemporal pattern formation. In Part II, empirical spatiotemporal traffic pattern features are consid­ ered. A microscopic three-phase traffic theory of these patterns and results of an application of the pattern features to engineering applications are pre­ sented in Part III and Part IV, respectively.

Reviews

From the reviews:

"For the analysis of complex spatiotemporal behaviour of traffic on motorways Kerner’s book severs as an important basis for freeway traffic science that can be valuable for traffic scientists and engineers in solving many tasks in traffic engineering." (Hartmut Keller, tec-Traffic Engineering and Control International Journal of Traffic Management and Transportation Planning 2005, vol. 46, page 72-73)

"I commend Boris Kerner on his pioneering research on a new traffic theory... [This] is the first book I have read that offers detailed discussions about traffic congestion on freeways." --Henry Lieu, in Physics Today, November 2005

"Key topic of the book is the description of empirical spatiotemporal behaviour of traffic based on the Kerner’s three-phase traffic theory. The content of the book is based on research work, which Kerner has performed … . The comprehensive bibliography … is impressive whereby they are referred to almost solely as reference numbers in the text. … Kerner’s book serves as an important basis for freeway traffic science that can be valuable for traffic scientists and engineers in solving many tasks in traffic engineering." (Hartmut Keller, tec-Traffic Engineering and Control, Vol. 46 (2), 2005)

"Boris Kerner presents in his book an in-depth and comprehensive presentation of his three-phase theory of freeway traffic flow. … It might well mark a milestone in the long-lasting discussion on modeling of freeway traffic flow. … The book is didactically very well written, it guides the reader through the material by providing figurative descriptions whenever possible before diving into mathematics. Every chapter starts and ends with summaries … ." (Peter Vortisch, IEEE Vehicular Technology Magazine, June, 2006)

Authors and Affiliations

  • DaimlerChrysler AG, Stuttgart, Germany

    Boris S. Kerner

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