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Feedback Control Theory for Dynamic Traffic Assignment

Author: Pushkin Kachroo; Kaan Özbay
Publisher: Cham, Switzerland : Springer Science and Business Media : Springer, [2018]
Series: Advances in industrial control.
Edition/Format:   eBook : Document : English : Second editionView all editions and formats
Summary:
This book develops a methodology for designing feedback control laws for dynamic traffic assignment (DTA) exploiting the introduction of new sensing and information-dissemination technologies to facilitate the introduction of real-time traffic management in intelligent transportation systems. Three methods of modeling the traffic system are discussed: partial differential equations representing a  Read more...
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Genre/Form: Electronic books
Additional Physical Format: (OCoLC)1004175499
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Pushkin Kachroo; Kaan Özbay
ISBN: 9783319692319 3319692313
OCLC Number: 1037946057
Description: 1 online resource : illustrations
Contents: Intro; Series Editors' Foreword; Preface to the Second Edition; Preface to the First Edition; Acknowledgements; Contents; Abbreviations; List of Figures; List of Tables; Part I Introduction to Feedback Control and Dynamic Traffic Assignment; 1 Introduction; 1.1 Dynamic Traffic Routing; 1.1.1 Objectives; 1.2 Control Algorithm Design; 1.2.1 Sensing; 1.2.2 Actuation; 1.2.3 Automatic Control Versus Human-in-the-loop Control; 1.2.4 Overall System; 1.2.5 Traffic Analysis Notation; 1.3 Real-Time DTR; 1.4 Literature Review; 1.5 Feedback Control; 1.5.1 Control Design Steps 1.5.2 Feedback Control Example1.5.3 Other Issues; 1.6 Summary; 1.7 Exercises; 1.7.1 Questions; 1.7.2 Problems; References; 2 Traffic Assignment: A Survey of Mathematical Models and Techniques; 2.1 Introduction; 2.2 Mathematical Programming-Based Static Traffic Assignment Model; 2.2.1 User-Equilibrium; 2.2.2 System Optimal Solution; 2.2.3 Numerical Schemes; 2.3 Variational Inequality-Based Static Traffic Assignment Model; 2.4 Projected Dynamical Systems: Dynamic Variational Equation Model; 2.4.1 Dynamic Route Choice; 2.5 Dynamic Traffic Assignment 2.5.1 Dynamic Traffic Assignment: Discrete Time2.5.2 Dynamic Traffic Assignment: Continuous Time; 2.6 Travel Time and FIFO Issue; 2.7 Macroscopic Model for DTA; 2.7.1 Greenshields' Model; 2.7.2 Generalized/Weak Solution for the LWR Model; 2.7.3 Scalar Initial-Boundary Problem; 2.7.4 Macroscopic (PDE) Traffic Network; 2.7.5 Travel Time Dynamics; 2.8 Simulation-Based DTA; 2.8.1 Iterations for User-Equilibrium; 2.8.2 Calibration from Field Data; 2.9 Traffic Operation Design and Feedback Control; 2.10 Summary; 2.11 Exercises; 2.11.1 Questions; 2.11.2 Problems; References Part II Traffic Flow Theory and Traffic Assignment Modeling3 Traffic Flow Theory; 3.1 Introduction; 3.2 Lighthill-Whitham-Richards Model; 3.3 Traffic Density-Flow Relationships; 3.3.1 Greenshields' Model; 3.3.2 Greenberg Model; 3.3.3 Underwood Model; 3.3.4 Northwestern University Model; 3.3.5 Drew Model; 3.3.6 Pipes-Munjal Model; 3.3.7 Multiregime Models; 3.3.8 Diffusion Model; 3.4 Microscopic Traffic Characteristics; 3.5 Traffic Model; 3.6 Classification of PDEs; 3.6.1 Variables; 3.6.2 Order of the PDE; 3.6.3 Linearity; 3.6.4 Boundary Conditions; 3.7 Existence of Solutions 3.7.1 Traffic Problem3.8 Method of Characteristics to Solve First Order PDEs; 3.9 Traffic Shock Wave Propagation; 3.9.1 Alternate Derivation for Shock Wave Speed; 3.9.2 Generalized/Weak Solution for the LWR Model; 3.9.3 Scalar Initial Boundary Problem; 3.10 Traffic Measurements; 3.11 Summary; 3.12 Exercises; 3.12.1 Questions; 3.12.2 Problems; References; 4 Modeling and Problem Formulation; 4.1 Introduction; 4.2 System Dynamics; 4.3 Feedback Control for Traffic as a Distributed Parameter System; 4.3.1 Diffusive Burgers' Equation; 4.3.2 DTR Formulation; 4.4 Discretized System Dynamics
Series Title: Advances in industrial control.
Responsibility: Pushkin Kachroo, Kaan M.A. Özbay.

Abstract:

This book develops a methodology for designing feedback control laws for dynamic traffic assignment (DTA) exploiting the introduction of new sensing and information-dissemination technologies to  Read more...

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