An Application of Optimal Control Theory to Dynamic User Equilibrium Traffic Assignment

An Application of Optimal Control Theory to Dynamic User Equilibrium Traffic Assignment PDF Author: Byung-Wook Wie
Publisher:
ISBN:
Category : Traffic assignment
Languages : en
Pages : 30

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An Application of Optimal Control Theory to Dynamic User Equilibrium Traffic Assignment

An Application of Optimal Control Theory to Dynamic User Equilibrium Traffic Assignment PDF Author: Byung-Wook Wie
Publisher:
ISBN:
Category : Traffic assignment
Languages : en
Pages : 30

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Book Description


Feedback Control Theory for Dynamic Traffic Assignment

Feedback Control Theory for Dynamic Traffic Assignment PDF Author: Pushkin Kachroo
Publisher: Springer
ISBN: 3319692313
Category : Technology & Engineering
Languages : en
Pages : 291

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Book Description
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 distributed-parameter setting; continuous-time ordinary differential equations (ODEs) representing a continuous-time lumped-parameter setting; and discreet-time ODEs representing a discrete-time lumped-parameter setting. Feedback control formulations for reaching road-user-equilibrium are presented for each setting and advantages and disadvantage of using each are addressed. The closed-loop methods described are proposed expressly to avoid the counter-productive shifting of bottlenecks from one route to another because of driver over-reaction to routing information. The second edition of Feedback Control Theory for Dynamic Traffic Assignment has been thoroughly updated with completely new chapters: a review of the DTA problem and emphasizing real-time-feedback-based problems; an up-to-date presentation of pertinent traffic-flow theory; and a treatment of the mathematical solution to the traffic dynamics. Techinques accounting for the importance of entropy are further new inclusions at various points in the text. Researchers working in traffic control will find the theoretical material presented a sound basis for further research; the continual reference to applications will help professionals working in highway administration and engineering with the increasingly important task of maintaining and smoothing traffic flow; the extensive use of end-of-chapter exercises will help the graduate student and those new to the field to extend their knowledge.

Feedback Control Theory for Dynamic Traffic Assignment

Feedback Control Theory for Dynamic Traffic Assignment PDF Author: Pushkin Kachroo
Publisher: Springer Science & Business Media
ISBN: 1447108159
Category : Technology & Engineering
Languages : en
Pages : 219

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Book Description
The series Advances in Industrial Control aims to report and encourage technology transfer in control engineering. The rapid development of control technology impacts all areas of the control discipline. New theory, new controllers, actuators, sensors, new industrial processes, computer methods, new applications, new philosophies, .... , new challenges. Much of this development work resides in industrial reports, feasibility study papers and the reports of advanced collaborative projects. The series offers an opportunity for researchers to present an extended exposition of such new work in all aspects of industrial control for wider and rapid dissemination. Micro-technology and modern communications technology are revolutionising many aspects of our daily lives and so it is not surprising that it is impacting societal transportation systems whether our highways, airways, seaways or railways. The Advances in Industrial Control series reported on these developments for long haul railway systems in a monograph by Howlett and Pudney (ISBN 3-S40-19990-X, 1995). Now it is the turn of transportation in a contribution from Pushkin Kachroo and Kaan Ozbay. The authors viewpoint is that this new set of transportation problems are control problems and that control engineers should be highly active in this field. Their volume covers all the aspects of modelling, problem formulation, and applies various control methodologies to solve the control problems formulated.

The Study of Dynamic User-equilibrium Traffic Assignment

The Study of Dynamic User-equilibrium Traffic Assignment PDF Author: Xiaojian Nie
Publisher:
ISBN:
Category :
Languages : en
Pages : 720

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Book Description


Dynamic Optimization and Differential Games

Dynamic Optimization and Differential Games PDF Author: Terry L. Friesz
Publisher: Springer Science & Business Media
ISBN: 0387727787
Category : Business & Economics
Languages : en
Pages : 509

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Book Description
This book has been written to address the increasing number of Operations Research and Management Science problems (that is, applications) that involve the explicit consideration of time and of gaming among multiple agents. It is a book that will be used both as a textbook and as a reference and guide by those whose work involves the theoretical aspects of dynamic optimization and differential games.

Dynamic Network User Equilibrium

Dynamic Network User Equilibrium PDF Author: Terry L. Friesz
Publisher: Springer Nature
ISBN: 303125564X
Category : Business & Economics
Languages : en
Pages : 401

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Book Description
This book presents advanced research in a relatively new field of scholarly inquiry that is usually referred to as dynamic network user equilibrium, now almost universally abbreviated as DUE. It provides the first synthesis of results obtained over the last decade from applying the differential variational inequality (DVI) formalism to study the DUE problem. In particular, it explores the intimately related problem of dynamic network loading, which determines the arc flows and effective travel delays (or generalized travel costs) arising from the expression of departure rates at the origins of commuter trips between the workplace and home. In particular, the authors show that dynamic network loading with spillback of queues into upstream arcs may be formulated as a differential algebraic equation system. They demonstrate how the dynamic network loading problem and the dynamic traffic user equilibrium problem may be solved simultaneously rather than sequentially, as well as how the first-in-first-out queue discipline may be maintained for each when Lighthill-Whitham-Richardson traffic flow theory is used. A number of recent and new extensions of the DVI-based theory of DUE and corresponding examples are presented and discussed. Relevant mathematical background material is provided to make the book as accessible as possible.

Analytical Dynamic Traffic Assignment Approsches for Modelling Integrated Real-time Traffic Control Systems

Analytical Dynamic Traffic Assignment Approsches for Modelling Integrated Real-time Traffic Control Systems PDF Author: Seong-Il Shin
Publisher:
ISBN:
Category : Traffic assignment
Languages : en
Pages : 230

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An Algorithm for Extremals Calculation in Optimal Control Problems with Applications to the Dynamic Traffic Assignment Problem

An Algorithm for Extremals Calculation in Optimal Control Problems with Applications to the Dynamic Traffic Assignment Problem PDF Author: Esteve Codina Sancho
Publisher:
ISBN:
Category :
Languages : en
Pages : 38

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Book Description


Transportation Research Record

Transportation Research Record PDF Author:
Publisher:
ISBN:
Category : Air travel
Languages : en
Pages :

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Modeling Dynamic Transportation Networks

Modeling Dynamic Transportation Networks PDF Author: Bin Ran
Publisher: Springer Science & Business Media
ISBN: 3642802303
Category : Business & Economics
Languages : en
Pages : 365

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Book Description
This book seeks to summarize our recent progress in dynamic trans portation network modeling. It concentrates on ideal dynamic network models based on actual travel times and their corresponding solution algorithms. In contrast, our first book DynamIc Urban Transportation Network Models - The ory and Implications for Intelligent Vehicle-Hzghway Systems (Springer-Verlag, 1994) focused on instantaneous dynamic network models. Comparing the two books, the major differences can be summarized as follows: 1. This book uses the variational inequality problem as the basic formulation approach and considers the optimal control problem as a subproblem for solution purposes. The former book used optimal control theory as the basic formulation approach, which caused critical problems in some circumstances. 2. This book focuses on ideal dynamic network models based on actual travel times. The former book focused on instantaneous dynamic network models based on currently prevailing travel times. 3. This book formulates a stochastic dynamic route choice model which can utilize any possible route choice distribution function instead of only the logit function. 4. This book reformulates the bilevel problem of combined departure time/ route choice as a one-level variational inequality. 5. Finally, a set of problems is provided for classroom use. In addition, this book offers comprehensive insights into the complexity and challenge of applying these dynamic network models to Intelligent Trans portation Systems (ITS). Nevertheless, the models in this text are not yet fully evaluated and are subject to revision based on future research.