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Mathematical Engineering

Traffic Networks as Information Systems

A Viability Approach

Authors: Aubin, Jean-Pierre, Désilles, Anya

  • Provides a variety of analytical solutions to problems in used by cruise control devices. 
  • the probe vehicles equipped with GPS to the traffic regulator
  • Written by an expert in the field
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eBook $99.00
price for Mexico (gross)
  • ISBN 978-3-642-54771-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for Mexico
  • ISBN 978-3-642-54770-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This authored monograph covers a viability to approach to  traffic management by advising to vehicles circulated on the network the velocity they should follow for satisfying global traffic conditions;. It presents an investigation of three structural innovations:
 
The objective is to broadcast at each instant and at each position the advised celerity to vehicles, which could be read by auxiliary speedometers or used by cruise control devices.
 
Namely, 
1. Construct regulation feedback providing at each time and position advised velocities (celerities)   for minimizing congestion or other requirements.
2. Taking into account traffic constraints of different type, the first one being to remain on the roads, to stop at junctions, etc.
3. Use information provided by the probe vehicles equipped with GPS to the traffic regulator;
4. Use other global traffic measures of vehicles provided by different types of sensors;
 
These results are based on convex analysis, intertemporal optimization and viability theory as mathematical tools as well as viability algorithms on the computing side, instead of conventional techniques such as partial differential equations and their resolution by finite difference or finite elements algorithms. The target audience primarily covers researchers and mathematically oriented engineers but the book may also be beneficial for graduate students.

Reviews

“The book is written in a lively and entertaining style. … The book is well-structured and provides a very readable introduction to the viability approach that will be useful and interesting for mathematicians and mathematical engineers.” (Martin Gugat, zbMATH 1356.90002, 2017)



Table of contents (8 chapters)

  • Introduction

    Aubin, Jean-Pierre (et al.)

    Pages 1-10

  • Celerity Regulators on Networks

    Aubin, Jean-Pierre (et al.)

    Pages 11-33

  • Traveling on the Network

    Aubin, Jean-Pierre (et al.)

    Pages 35-84

  • Viability Characterizations and Construction of Celerity Regulators

    Aubin, Jean-Pierre (et al.)

    Pages 85-113

  • Traffic Specifications

    Aubin, Jean-Pierre (et al.)

    Pages 115-135

Buy this book

eBook $99.00
price for Mexico (gross)
  • ISBN 978-3-642-54771-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for Mexico
  • ISBN 978-3-642-54770-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Traffic Networks as Information Systems
Book Subtitle
A Viability Approach
Authors
Series Title
Mathematical Engineering
Copyright
2017
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-54771-3
DOI
10.1007/978-3-642-54771-3
Hardcover ISBN
978-3-642-54770-6
Series ISSN
2192-4732
Edition Number
1
Number of Pages
XVI, 246
Number of Illustrations and Tables
2 b/w illustrations, 37 illustrations in colour
Topics