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Traffic Networks as Information Systems: A Viability Approach
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
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.
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.
264 pages, Paperback
First published June 4, 2014
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May 26, 2019
A guide on how to model celerity regulators when modelling traffic computationally. The book is highly mathematical and impenetrable to those without advanced levels of maths, a specialisation in traffic modelling and access to the journals that are cited everywhere but hidden behind a paywall. Many topics that are needed for understanding the book (e.g. Cournot maps) cannot be learnt through any available free resources (as far as I can tell).
The authors seem uninterested in teaching the reader the skills they need for the subject from scratch, meaning that this is more a reference book for the advanced than a textbook for those learning.
The authors are highly self-referential, requiring readers to read their previous work to understand many topics and comments. Footnotes are often interesting, but not understandable without access to journals etc.
I imagine this book will be necessary for those who are trying to figure out how to do their celerity regulators at the time. Otherwise, this book seems to have little value for a reader.
The authors seem uninterested in teaching the reader the skills they need for the subject from scratch, meaning that this is more a reference book for the advanced than a textbook for those learning.
The authors are highly self-referential, requiring readers to read their previous work to understand many topics and comments. Footnotes are often interesting, but not understandable without access to journals etc.
I imagine this book will be necessary for those who are trying to figure out how to do their celerity regulators at the time. Otherwise, this book seems to have little value for a reader.
Displaying 1 of 1 review