introduction to the theory of traffic flow

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An Introduction To Traffic Flow Theory

Author : Lily Elefteriadou
ISBN : 9781461484356
Genre : Mathematics
File Size : 74. 55 MB
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This text provides a comprehensive and concise treatment of the topic of traffic flow theory and includes several topics relevant to today’s highway transportation system. It provides the fundamental principles of traffic flow theory as well as applications of those principles for evaluating specific types of facilities (freeways, intersections, etc.). Newer concepts of Intelligent transportation systems (ITS) and their potential impact on traffic flow are discussed. State-of-the-art in traffic flow research and microscopic traffic analysis and traffic simulation have significantly advanced and are also discussed in this text. Real world examples and useful problem sets complement each chapter. This textbook is meant for use in advanced undergraduate/graduate level courses in traffic flow theory with prerequisites including two semesters of calculus, statistics, and an introductory course in transportation. The text would also be of interest to transportation professionals as a refresher in traffic flow theory, or as a reference. Students and engineers of diverse backgrounds will find this text accessible and applicable to today’s traffic issues.

Introduction To The Theory Of Traffic Flow

Author : Wilhelm Leutzbach
ISBN : 9783642613531
Genre : Technology & Engineering
File Size : 25. 33 MB
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This book describes a coherent approach to the explanation of the movement of individual vehicles or groups of vehicles. To avoid possible misunderstandings, some preliminary remarks are called for. 1. This is intended to be a textbook. It brings together methods and approaches that are widely distributed throughout the literature and that are therefore difficult to assess. Text citations of sources have been avoided; literature references are listed together at the end of the book. 2. The book is intended primarily for students of engineering. It describes the theoretical background necessary for an understanding of the methods by which links in a road network are designed and dimensioned or by which traffic is controlled; the methods themselves are not dealt with. It may also assist those actually working in such sectors to interpret the results of traffic flow measure ments more accurately than has hitherto been the case. 3. The book deals with traffic flow on links between nodes, and not at nodes themselves. Many readers will probably regret this, since nodes are usually the bottlenecks which limit the capacity of the road network. A book dedicated to the node would be the obvious follow-up. A separation of link and node is justified, however, partly because the quantity of material has to be kept within reasonable bounds and partly because the treatment of traffic flow at nodes requires additional mathematical techniques (in particular, those relating to queueing theory).

Introduction To The Theory Of Traffic Flow

Author : Wilhelm Leutzbach
ISBN : 9783642613531
Genre : Technology & Engineering
File Size : 84. 81 MB
Format : PDF, ePub
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This book describes a coherent approach to the explanation of the movement of individual vehicles or groups of vehicles. To avoid possible misunderstandings, some preliminary remarks are called for. 1. This is intended to be a textbook. It brings together methods and approaches that are widely distributed throughout the literature and that are therefore difficult to assess. Text citations of sources have been avoided; literature references are listed together at the end of the book. 2. The book is intended primarily for students of engineering. It describes the theoretical background necessary for an understanding of the methods by which links in a road network are designed and dimensioned or by which traffic is controlled; the methods themselves are not dealt with. It may also assist those actually working in such sectors to interpret the results of traffic flow measure ments more accurately than has hitherto been the case. 3. The book deals with traffic flow on links between nodes, and not at nodes themselves. Many readers will probably regret this, since nodes are usually the bottlenecks which limit the capacity of the road network. A book dedicated to the node would be the obvious follow-up. A separation of link and node is justified, however, partly because the quantity of material has to be kept within reasonable bounds and partly because the treatment of traffic flow at nodes requires additional mathematical techniques (in particular, those relating to queueing theory).

Introduction To Modern Traffic Flow Theory And Control

Author : Boris S. Kerner
ISBN : 9783642026058
Genre : Technology & Engineering
File Size : 42. 61 MB
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The understanding of empirical traf?c congestion occurring on unsignalized mul- lane highways and freeways is a key for effective traf?c management, control, or- nization, and other applications of transportation engineering. However, the traf?c ?ow theories and models that dominate up to now in transportation research journals and teaching programs of most universities cannot explain either traf?c breakdown or most features of the resulting congested patterns. These theories are also the - sis of most dynamic traf?c assignment models and freeway traf?c control methods, which therefore are not consistent with features of real traf?c. For this reason, the author introduced an alternative traf?c ?ow theory called three-phase traf?c theory, which can predict and explain the empirical spatiot- poral features of traf?c breakdown and the resulting traf?c congestion. A previous book “The Physics of Traf?c” (Springer, Berlin, 2004) presented a discussion of the empirical spatiotemporal features of congested traf?c patterns and of three-phase traf?c theory as well as their engineering applications. Rather than a comprehensive analysis of empirical and theoretical results in the ?eld, the present book includes no more empirical and theoretical results than are necessary for the understanding of vehicular traf?c on unsignalized multi-lane roads. The main objectives of the book are to present an “elementary” traf?c ?ow theory and control methods as well as to show links between three-phase traf?c t- ory and earlier traf?c ?ow theories. The need for such a book follows from many commentsofcolleaguesmadeafterpublicationofthebook“ThePhysicsofTraf?c”.

Traffic Flow Theory

Author : Daiheng Ni
ISBN : 9780128041475
Genre : Technology & Engineering
File Size : 55. 81 MB
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Creating Traffic Models is a challenging task because some of their interactions and system components are difficult to adequately express in a mathematical form. Traffic Flow Theory: Characteristics, Experimental Methods, and Numerical Techniques provide traffic engineers with the necessary methods and techniques for mathematically representing traffic flow. The book begins with a rigorous but easy to understand exposition of traffic flow characteristics including Intelligent Transportation Systems (ITS) and traffic sensing technologies. Includes worked out examples and cases to illustrate concepts, models, and theories Provides modeling and analytical procedures for supporting different aspects of traffic analyses for supporting different flow models Carefully explains the dynamics of traffic flow over time and space

Traffic Flow Dynamics

Author : Martin Treiber
ISBN : 9783642324604
Genre : Science
File Size : 89. 69 MB
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This textbook provides a comprehensive and instructive coverage of vehicular traffic flow dynamics and modeling. It makes this fascinating interdisciplinary topic, which to date was only documented in parts by specialized monographs, accessible to a broad readership. Numerous figures and problems with solutions help the reader to quickly understand and practice the presented concepts. This book is targeted at students of physics and traffic engineering and, more generally, also at students and professionals in computer science, mathematics, and interdisciplinary topics. It also offers material for project work in programming and simulation at college and university level. The main part, after presenting different categories of traffic data, is devoted to a mathematical description of the dynamics of traffic flow, covering macroscopic models which describe traffic in terms of density, as well as microscopic many-particle models in which each particle corresponds to a vehicle and its driver. Focus chapters on traffic instabilities and model calibration/validation present these topics in a novel and systematic way. Finally, the theoretical framework is shown at work in selected applications such as traffic-state and travel-time estimation, intelligent transportation systems, traffic operations management, and a detailed physics-based model for fuel consumption and emissions.

An Introduction To The Theory Of The Boltzmann Equation

Author : Stewart Harris
ISBN : 9780486143828
Genre : Science
File Size : 31. 57 MB
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This introductory graduate-level text emphasizes physical aspects of the theory of Boltzmann's equation in a detailed presentation that doubles as a practical resource for professionals. 1971 edition.

Understanding Traffic Systems

Author : Michael A.P. Taylor
ISBN : 9781351876858
Genre : Technology & Engineering
File Size : 81. 5 MB
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Road traffic and its impacts affect all aspects of modern life, leisure and industry, with safety, congestion and pollution being of greatest public concern. Transport planning increasingly emphasises travel demand management (TDM) and traffic calming - aided by dynamic, lower cost data from Intelligent Transport Systems (ITS) - to enable real time monitoring, control and traveller information. This second edition of a highly successful work has been fully updated since its first publication in 1996 to reflect developments in technology available to the traffic analyst and in the social, ecological and economic environment. New sections are included on shockwaves, data capture without surveys, traffic incidents, delay estimation, off-line use of on-line data, environmental sensitivity, and controlled crash tests. The authors introduce and demonstrate techniques with which the analyst, engineer or planner can examine traffic problems. The underlying theme is that proper understanding of traffic systems performance and traffic problems can only come from the intelligent processing, refinement, appraisal and evaluation of traffic data. Arranged in five parts, the book offers an integrated approach to tackling road traffic problems: ¢ How to gain information and understanding about traffic ¢ The theories of traffic flow ¢ The principles of good survey planning and management ¢ Specific types of traffic studies ¢ Analytical techniques for transforming raw data into useful information. Understanding Traffic Systems provides cogent insights into the techniques of traffic data collection and analysis, the application of traffic theory and the role of data in analysis and decision making. Its breadth and use of examples from several countries make it a useful reference text for students and researchers, as well as an essential tool for practising traffic engineers and planners.

An Introduction To The Mathematical Theory Of Waves

Author : Roger Knobel
ISBN : 9780821820391
Genre : Mathematics
File Size : 57. 40 MB
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Linear and nonlinear waves are a central part of the theory of PDEs. This book begins with a description of one-dimensional waves and their visualization through computer-aided techniques. Next, traveling waves are covered, such as solitary waves for the Klein-Gordon and KdV equations. Finally, the author gives a lucid discussion of waves arising from conservation laws, including shock and rarefaction waves. As an application, interesting models of traffic flow are used to illustrate conservation laws and wave phenomena. This book is based on a course given by the author at the IAS/Park City Mathematics Institute. It is suitable for independent study by undergraduate students in mathematics, engineering, and science programs.

Mathematical Models

Author : Richard Haberman
ISBN : 9780898714081
Genre : Mathematics
File Size : 79. 26 MB
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The author uses mathematical techniques to give an in-depth look at models for mechanical vibrations, population dynamics, and traffic flow.

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