Traffic networks as information systems : a viability approach /

Traffic networks as information systems : a viability approach /

Saved in:
Bibliographic Details
Author / Creator:Aubin, Jean Pierre, author.
Imprint:Berlin : Springer, [2016]
©2017
Description:1 online resource (xvi, 246 pages) : illustrations (some color)
Language:English
Series:Mathematical engineering
Mathematical engineering.
Subject:
Traffic engineering -- Mathematical models.
Traffic engineering -- Mathematical models.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11264752
Hidden Bibliographic Details
Other authors / contributors:Désilles, Anya, author.
ISBN:9783642547713
3642547710
9783642547706
Notes:Includes bibliographical references and indexes.
Online resource; title from PDF title page (SpringerLink, viewed July 20, 2016).
Summary: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.
Other form:Erscheint auch als: Druck-Ausgabe Aubin, Jean-Pierre. Traffic Networks as Information Systems . A Viability Approach
Table of Contents:
  • Preface; Acknowledgments; Contents; 1 Introduction; 1.1 A Viability Approach; 1.2 Introducing Other Specifications; 1.3 Variational Approaches; 1.4 Organization of the Book; 2 Celerity Regulators on Networks; 2.1 Traveling Takes Time; 2.1.1 Time, Duration and Temporal Windows; 2.1.2 Temporal Window Dependent Evolutions; 2.2 Traveling Needs Space; 2.3 Celerity Regulators for Advising Viable Velocities; 2.3.1 The Double Nature of Traffic Networks; 2.3.2 The Viability Approach; 2.3.3 New Specifications: Advised Accelerations and Jerks; 2.4 Reaching Unexpected Position in Two-Dimensional Networks.
  • 2.4.1 Reaching a Target at Alarm Signals2.4.2 Reaching a Target and Stopping at Alarm Signals; 2.4.3 Starting from Junctions; 2.4.4 Application: Pursuer-Invader Dynamical Games; 3 Traveling on the Network; 3.1 One-Dimensional Traffic Illustrations; 3.1.1 Celerity Regulators; 3.1.2 Celerity Regulators for Piecewise Constant Speed Limits; 3.1.3 The Geodesic Evolutions; 3.1.4 Dynamic Acceleration Regulators; 3.1.5 One-Dimensional Traffic Concepts; 3.1.6 Eupalinian Evolutions; 3.1.7 Collision Avoidance of Two Vehicles; 3.2 Basic Traffic Viability Concepts and Results.
  • 3.2.1 Traffic Evolutionary Systems3.2.2 Averagers of Evolutionary Systems; 3.2.3 Cournot Maps and Reachable Maps; 3.2.4 Incoming and Outgoing Relations and Maps; 3.2.5 Summary of Traffics Concepts; 3.3 Concatenation of Cournot Maps; 3.4 Eupalinian Maps; 3.4.1 Pass-Through Constraints; 3.4.2 Junctions and Intermodal Traffic Systems; 3.4.3 Multijunction Maps; 3.4.4 Multijunctions Generated by Circuits; 3.5 Synaptic Networks of Ionic Networks; 3.5.1 Neurons as Ionic Networks; 3.5.2 Networks of Neurons; 4 Viability Characterizations and Construction of Celerity Regulators.
  • 4.1 A Viability Survival Kit4.1.1 Viable Capture Basins; 4.1.2 Tangents; 4.1.3 The Viability Theorem; 4.2 Viability Characterizations of Averagers, Cournot and Eupalinian Maps; 4.2.1 Viability Characterization of the Averagers; 4.2.2 The Lax-Hopf Formula; 4.2.3 Viability Characterization of the Cournot and Reachable Maps; 4.3 Construction of Celerity Regulators; 4.4 Approximations of Cournot Maps and Viability Algorithms; 4.4.1 Approximations by Piecewise Characteristic Set-Valued Maps; 4.4.2 Viability Algorithms; 4.4.3 The Curse of Dimensionality; 5 Traffic Specifications.
  • 5.1 Micro-Meso-Macro Cascade of Traffic Evolutionary Systems5.2 Micro-Meso Specific Traffic Systems; 5.3 Duration-Chaperoned Evolutions; 5.3.1 Durations with Variable Fluidities; 5.3.2 Examples of Duration Functions; 5.3.3 Fluidity Dependent Celerity Regulators; 5.4 Acceleration and Dynamic Celerity Regulators; 5.5 Collision Avoidance of a Fleet of Vehicles; 6 Valuation of Intertemporal Micro
  • Meso
  • Macro Systems; 6.1 Intertemporal Selection Through Indicators; 6.1.1 Numerical Relation; 6.1.2 Intertemporal Optimization of Lagrangians; 6.1.3 The Dynamic Optimization Principle.

Similar Items