© 2018

Feedback Control Theory for Dynamic Traffic Assignment

  • Shows the reader how to make more accurate predictions of and control traffic flow by providing a full treatment of the feedback-based dynamic traffic assignment problem

  • Derives conrol laws usable in real world traffic management

  • Each chapter provides codes so that readers can test and improve the simulations discussed


Part of the Advances in Industrial Control book series (AIC)

Table of contents

  1. Front Matter
    Pages i-xxxi
  2. Introduction to Feedback Control and Dynamic Traffic Assignment

    1. Front Matter
      Pages 1-1
    2. Pushkin Kachroo, Kaan M. A. Özbay
      Pages 3-23
    3. Pushkin Kachroo, Kaan M. A. Özbay
      Pages 25-53
  3. Traffic Flow Theory and Traffic Assignment Modeling

    1. Front Matter
      Pages 55-55
    2. Pushkin Kachroo, Kaan M. A. Özbay
      Pages 57-87
    3. Pushkin Kachroo, Kaan M. A. Özbay
      Pages 89-112
  4. Feedback Control for Dynamic Traffic Routing

    1. Front Matter
      Pages 113-113
    2. Pushkin Kachroo, Kaan M. A. Özbay
      Pages 115-154
    3. Pushkin Kachroo, Kaan M. A. Özbay
      Pages 167-197
    4. Pushkin Kachroo, Kaan M. A. Özbay
      Pages 199-228
    5. Pushkin Kachroo, Kaan M. A. Özbay
      Pages 229-247
    6. Pushkin Kachroo, Kaan M. A. Özbay
      Pages 249-266
  5. Back Matter
    Pages 267-272

About this book


This book develops a methodology for designing feedback control laws for dynamic traffic assignment (DTA) exploiting the introduction of new sensing and information-dissemination technologies to facilitate the introduction of real-time traffic management in intelligent transportation systems. Three methods of modeling the traffic system are discussed:
  • partial differential equations representing a distributed-parameter setting;
  • continuous-time ordinary differential equations (ODEs) representing a continuous-time lumped-parameter setting; and
  • discreet-time ODEs representing a discrete-time lumped-parameter setting.
Feedback control formulations for reaching road-user-equilibrium are presented for each setting and advantages and disadvantage of using each are addressed. The closed-loop methods described are proposed expressly to avoid the counter-productive shifting of bottlenecks from one route to another because of driver over-reaction to routing information.
The second edition of Feedback Control Theory for Dynamic Traffic Assignment has been thoroughly updated with completely new chapters:
  • a review of the DTA problem and emphasizing real-time-feedback-based problems;
  • an up-to-date presentation of pertinent traffic-flow theory; and
  • a treatment of the mathematical solution to the traffic dynamics.

Techinques accounting for the importance of entropy are further new inclusions at various points in the text.

Researchers working in traffic control will find the theoretical material presented a sound basis for further research; the continual reference to applications will help professionals working in highway administration and engineering with the increasingly important task of maintaining and smoothing traffic flow; the extensive use of end-of-chapter exercises will help the graduate student and those new to the field to extend their knowledge.

Advances in Industrial Control reports and encourages the transfer of technology in control engineering. The rapid development of control technology has an impact on all areas of the control discipline. The series offers an opportunity for researchers to present an extended exposition of new work in all aspects of industrial control.


Distributed-parameter Systems Dynamic Traffic Assignment Feedback Control Godunov-based Entropy Highway Infrastructure ITS Intelligent Transportation Systems Traffic Flow Traffic Networks

Authors and affiliations

  1. 1.Department of Electrical and Computer EngineeringUniversity of NevadaLas VegasUSA
  2. 2.Department of Civil and Urban EngineeringNew York UniversityBrooklynUSA

About the authors

Pushkin Kachroo is the Lincy Professor of Transportation in the department of Electrical and Computer Engineering at the University of Nevada Las Vegas (UNLV).  He was a Visiting Professor at the University of California at Berkeley working with Professor Shankar Sastry. He is the director of the Mendenhall Innovation Program at the Thomas a Hughes College of Engineering at UNLV. He was an Associate Professor at Virginia Tech before he joined UNLV in 2007. He obtained his Ph.D. in Mechanical Engineering from University of California at Berkeley performing research in Vehicle Control in 1993 under Professor Masayoshi Tomizuka, and obtained another Ph.D. in Mathematics from Virginia Tech in Mathematics in the area of hyperbolic system of partial differential equations with applications to Traffic Control and Evacuation under Professor Joseph A. Ball. He has authored 10 books on traffic and vehicle control. He has authored more than 120 publications that include books, research papers, and edited volumes. He has taught about 30 different courses in Virginia Tech in the areas of electrical and computer engineering, and mathematics. Similarly, he also taught 30 different courses at UNLV since 2007. He has graduated more than 35 graduate students, and has been P.I. or Co P.I. on projects worth more than 4 Million Dollars. He was awarded the most outstanding new professor at Virginia Tech, and also has received many teaching awards and certificates, both at Virginia Tech and UNLV. He also received the faculty excellence award from CSUN UNLV in 2011. He is pursuing an M.S. in Physics at UNLV with thesis work in Quantum Logic. 

Kaan M.A. Özbay has joined Department of Civil and Urban engineering  and Center for Urban Science and Progress (CUSP) at NYU on August 2013.  Professor Ozbay was a tenured full Professor at the Rutgers University Department of Civil and Environmental Engineering until July 2013.  He joined Rutgers University as an Assistant Professor in July, 1996.  In 2008, he was a visiting scholar at the Operations Research and Financial Engineering (ORFE) Department of Princeton University. Dr. Ozbay's research interests in transportation cover a wide range of topics including the development of simulation models of large scale complex transportation systems, advanced technology and sensing applications for Intelligent Transportation Systems, modeling and evaluation of traffic incident and emergency management systems, feedback based on-line real-time traffic control techniques, traffic safety, application of operations research techniques in network optimization and humanitarian inventory control, and transportation economics. 
Dr. Ozbay is the recipient of the prestigious National Science Foundation (NSF) CAREER award. Dr. Ozbay is the co-editor of a new book titled “Dynamic Traffic Control & Guidance” published by Springer Verlag’s "Complex Social, Economic and Engineered Networks" series in 2013. In addition to this book, Dr. Ozbay is the co-author of three other books titled “Feedback Based Ramp Metering for Intelligent Transportation Systems” published by Kluwer Academics in 2004,  "Feedback Control Theory for Dynamic Traffic Assignment", Springer-Verlag and “Incident Management for Intelligent Transportation Systems” published by Artech House publishers both in 1999. Dr. Ozbay published approximately 300 refereed papers in scholarly journals and conference proceedings. Professor Ozbay serves as the “Associate Editor” of Networks and Spatial Economic journal and Transportmetrica B: Transportation Dynamics journal. He is a member of the editorial board of the ITS journal. 
Since 1994, Dr. Ozbay, has been the Principal Investigator and Co-Principal Investigator of 80 projects funded at a level of more than $11,00,000 by National Science Foundation, NJDOT, NYMTC, NY State DOT, New Jersey Highway Authority, USDOT, FHWA, VDOT, CUNY University Transportation Research Center (UTRC), Department of Homeland Security, USDOT ITS Research Center of Excellence. He was the founding director of the Rutgers Intelligent Transportation Systems (RITS) laboratory that led ITS research and education activities at Rutgers University until 2013. 

Bibliographic information

  • Book Title Feedback Control Theory for Dynamic Traffic Assignment
  • Authors Pushkin Kachroo
    Kaan M.A. Özbay
  • Series Title Advances in Industrial Control
  • Series Abbreviated Title Advances in Industrial Control
  • DOI
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2018
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Hardcover ISBN 978-3-319-69229-6
  • Softcover ISBN 978-3-030-09877-3
  • eBook ISBN 978-3-319-69231-9
  • Series ISSN 1430-9491
  • Series E-ISSN 2193-1577
  • Edition Number 2
  • Number of Pages XXXI, 272
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Control and Systems Theory
    Landscape/Regional and Urban Planning
    Civil Engineering
  • Buy this book on publisher's site
Industry Sectors
Chemical Manufacturing
IT & Software
Materials & Steel
Oil, Gas & Geosciences