Overview
- 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
- Includes supplementary material: sn.pub/extras
Part of the book series: Mathematical Engineering (MATHENGIN)
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Table of contents (8 chapters)
Keywords
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)
Authors and Affiliations
Bibliographic Information
Book Title: Traffic Networks as Information Systems
Book Subtitle: A Viability Approach
Authors: Jean-Pierre Aubin, Anya Désilles
Series Title: Mathematical Engineering
DOI: https://doi.org/10.1007/978-3-642-54771-3
Publisher: Springer Berlin, Heidelberg
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2017
Hardcover ISBN: 978-3-642-54770-6Published: 21 July 2016
Softcover ISBN: 978-3-662-56869-9Published: 07 June 2018
eBook ISBN: 978-3-642-54771-3Published: 13 July 2016
Series ISSN: 2192-4732
Series E-ISSN: 2192-4740
Edition Number: 1
Number of Pages: XVI, 246
Number of Illustrations: 2 b/w illustrations, 37 illustrations in colour
Topics: Complexity, Optimization, Regional/Spatial Science, Computer Appl. in Administrative Data Processing