Read Anywhere and on Any Device!

Subscribe to Read | $0.00

Join today and start reading your favorite books for Free!

Create Free Account

Traffic Networks as Information Systems: A Viability Approach (Mathematical Engineering)

Jean-Pierre Aubin

0/5 ( ratings)

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 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.

Pages: 246

Format: Kindle Edition

Publisher: Springer

Release: July 13, 2016

Traffic Networks as Information Systems: A Viability Approach (Mathematical Engineering)

Jean-Pierre Aubin

0/5 ( ratings)

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 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.

Pages: 246

Format: Kindle Edition

Publisher: Springer

Release: July 13, 2016

More books from Jean-Pierre Aubin

Optima and Equilibria: An Introduction to Nonlinear Analysis

4.5/5 ( ratings)

Mathematical Methods of Game and Economic Theory: Revised Edition

Mathematical Approaches to Traffic Management

Differential Inclusions: Set-Valued Maps and Viability Theory

The Interval Market Model in Mathematical Finance: Game-Theoretic Methods

Dynamics of Macrosystems: Proceedings of a Workshop on the Dynamics of Macrosystems Held at the International Institute for Applied Systems Analysis (Iiasa), Laxenburg, Austria, September 3 7, 1984

Time and Money: How Long and How Much Money Is Needed to Regulate a Viable Economy

Tychastic Measure of Viability Risk

Advanced Methods for Decision-Making and Risk Management in Sustainability Science

Viability Theory: New Directions

Set-valued Analysis

Traffic Networks as Information Systems: A Viability Approach (Mathematical Engineering)

Rate this book!

Write a review?