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Author : Haight
Publisher : Academic Press
ISBN 13 : 0080955150
Total Pages : 255 pages
Book Rating : 4.0/5 (89 download)
Download or read book Mathematical Theories of Traffic Flow written by Haight and published by Academic Press. This book was released on 1963-01-01 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Theories of Traffic Flow
Author : Frank A. Haight
Publisher :
ISBN 13 :
Total Pages : 242 pages
Book Rating : 4.:/5 (257 download)
Download or read book Mathematical Theories of Traffic Flow written by Frank A. Haight and published by . This book was released on 1974 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Daiheng Ni
Publisher : Butterworth-Heinemann
ISBN 13 : 0128041471
Total Pages : 414 pages
Book Rating : 4.1/5 (28 download)
Download or read book Traffic Flow Theory written by Daiheng Ni and published by Butterworth-Heinemann. This book was released on 2015-11-09 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Author : Wilhelm Leutzbach
Publisher : Springer Science & Business Media
ISBN 13 : 3642613535
Total Pages : 210 pages
Book Rating : 4.6/5 (426 download)
Download or read book Introduction to the Theory of Traffic Flow written by Wilhelm Leutzbach and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Author : Lily Elefteriadou
Publisher : Springer Science & Business Media
ISBN 13 : 1461484359
Total Pages : 262 pages
Book Rating : 4.4/5 (614 download)
Download or read book An Introduction to Traffic Flow Theory written by Lily Elefteriadou and published by Springer Science & Business Media. This book was released on 2013-11-19 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Martin Braun
Publisher : Springer Science & Business Media
ISBN 13 : 1461254272
Total Pages : 390 pages
Book Rating : 4.4/5 (612 download)
Download or read book Differential Equation Models written by Martin Braun and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this four volume series is to make available for college teachers and students samples of important and realistic applications of mathematics which can be covered in undergraduate programs. The goal is to provide illustrations of how modem mathematics is actually employed to solve relevant contemporary problems. Although these independent chapters were prepared primarily for teachers in the general mathematical sciences, they should prove valuable to students, teachers, and research scientists in many of the fields of application as well. Prerequisites for each chapter and suggestions for the teacher are provided. Several of these chapters have been tested in a variety of classroom settings, and all have undergone extensive peer review and revision. Illustrations and exercises are included in most chapters. Some units can be covered in one class, whereas others provide sufficient material for a few weeks of class time. Volume 1 contains 23 chapters and deals with differential equations and, in the last four chapters, problems leading to partial differential equations. Applications are taken from medicine, biology, traffic systems and several other fields. The 14 chapters in Volume 2 are devoted mostly to problems arising in political science, but they also address questions appearing in sociology and ecology. Topics covered include voting systems, weighted voting, proportional representation, coalitional values, and committees. The 14 chapters in Volume 3 emphasize discrete mathematical methods such as those which arise in graph theory, combinatorics, and networks.
Author : R. Herman
Publisher :
ISBN 13 :
Total Pages : 7 pages
Book Rating : 4.:/5 (173 download)
Download or read book Mathematical Theory of Traffic Flow written by R. Herman and published by . This book was released on 1960 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lily Elefteriadou
Publisher : Springer Nature
ISBN 13 : 3031540301
Total Pages : 342 pages
Book Rating : 4.0/5 (315 download)
Download or read book An Introduction to Traffic Flow Theory written by Lily Elefteriadou and published by Springer Nature. This book was released on with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wen-Long Jin
Publisher : Elsevier
ISBN 13 : 0128158417
Total Pages : 282 pages
Book Rating : 4.1/5 (281 download)
Download or read book Introduction to Network Traffic Flow Theory written by Wen-Long Jin and published by Elsevier. This book was released on 2021-04-13 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Network Traffic Flow Theory: Principles, Concepts, Models, and Methods provides a comprehensive introduction to modern theories for modeling, mathematical analysis and traffic simulations in road networks. The book breaks ground, addressing traffic flow theory in a network setting and providing researchers and transportation professionals with a better understanding of how network traffic flows behave, how congestion builds and dissipates, and how to develop strategies to alleviate network traffic congestion. The book also shows how network traffic flow theory is key to understanding traffic estimation, control, management and planning. Users wills find this to be a great resource on both theory and applications across a wide swath of subjects, including road networks and reduced traffic congestion. Covers the most theoretically and practically relevant network traffic flow theories Provides a systematic introduction to traditional and recently developed models, including cell transmission, link transmission, link queue, point queue, macroscopic and microscopic models, junction models and network stationary states Applies modern network traffic flow theory to real-world applications in modeling, analysis, estimation, control, management and planning
Author : Richard Haberman
Publisher : SIAM
ISBN 13 : 0898714087
Total Pages : 412 pages
Book Rating : 4.8/5 (987 download)
Download or read book Mathematical Models written by Richard Haberman and published by SIAM. This book was released on 1998-12-01 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author uses mathematical techniques to give an in-depth look at models for mechanical vibrations, population dynamics, and traffic flow.
Author : Boris S. Kerner
Publisher : Springer
ISBN 13 : 3540409866
Total Pages : 688 pages
Book Rating : 4.5/5 (44 download)
Download or read book The Physics of Traffic written by Boris S. Kerner and published by Springer. This book was released on 2012-12-06 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt: The core of ths book presents a theory developed by the author to combine the recent insight into empirical data with mathematical models in freeway traffic research based on dynamical non-linear processes.
Author : Gabriella Puppo
Publisher : Springer Nature
ISBN 13 : 3030665607
Total Pages : 102 pages
Book Rating : 4.0/5 (36 download)
Download or read book Mathematical Descriptions of Traffic Flow: Micro, Macro and Kinetic Models written by Gabriella Puppo and published by Springer Nature. This book was released on 2021-03-31 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book originates from the mini-symposium "Mathematical descriptions of traffic flow: micro, macro and kinetic models" organised by the editors within the ICIAM 2019 Congress held in Valencia, Spain, in July 2019. The book is composed of five chapters, which address new research lines in the mathematical modelling of vehicular traffic, at the cutting edge of contemporary research, including traffic automation by means of autonomous vehicles. The contributions span the three most representative scales of mathematical modelling: the microscopic scale of particles, the mesoscopic scale of statistical kinetic description and the macroscopic scale of partial differential equations.The work is addressed to researchers in the field.
Author : Boris S. Kerner
Publisher : Springer Science & Business Media
ISBN 13 : 3642026052
Total Pages : 271 pages
Book Rating : 4.6/5 (42 download)
Download or read book Introduction to Modern Traffic Flow Theory and Control written by Boris S. Kerner and published by Springer Science & Business Media. This book was released on 2009-09-16 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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”.
Author : Robert M. Oliver
Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (641 download)
Download or read book On a Mathematical Function of Traffic Flow Theory written by Robert M. Oliver and published by . This book was released on 1963* with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Martin Treiber
Publisher : Springer Science & Business Media
ISBN 13 : 3642324592
Total Pages : 505 pages
Book Rating : 4.6/5 (423 download)
Download or read book Traffic Flow Dynamics written by Martin Treiber and published by Springer Science & Business Media. This book was released on 2012-10-11 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Minoru Fukui
Publisher : Springer Science & Business Media
ISBN 13 : 3662105837
Total Pages : 579 pages
Book Rating : 4.6/5 (621 download)
Download or read book Traffic and Granular Flow ’01 written by Minoru Fukui and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last decade physicists, engineers and computer scientists have joined in an enormously fruitful dialogue about traffic and granular flow. Cars and sand grains have in common, that they interact irreversibly, which is the reason for similar jamming phenomena. The main difference is that car drivers choose their destination and route individually, while grains follow external driving forces. This book gives an overview about the progress in modelling, computer simulation, experiments and field observations, which was reached within the last two years. The contributions are based on the International Workshop Traffic and Granular Flow '01, which took place in Nagoya, 15 - 17 October 2001. Topics include a critical classification of models for highway traffic, new technological applications, friction and arching phenomena in pedestrian traffic, scale free networks and internet traffic, instabilities and fluctuations in avalanches and granular pipe flow.
Author : Michael Herty
Publisher : Logos Verlag Berlin GmbH
ISBN 13 :
Total Pages : 150 pages
Book Rating : 4.3/5 (555 download)
Download or read book Mathematics of Traffic Flow Networks written by Michael Herty and published by Logos Verlag Berlin GmbH. This book was released on 2004 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traffic flow has been a continuous source of challenging mathematical problems. The following work is dedicated to recent questions in modeling, simulation and optimization of traffic flow networks. Mathematics can help to solve traffic problems in different ways. Modelling provides fundamental understanding of traffic dynamics and behaviour. Optimization yields solutions for complex situations and helps to organize traffic flow. During the last decade there has been intensive research in different fields of and related to traffic flow. One of the primary research activities focus on the development of new and more realistic models for traffic flow on a single road. Our work's primary focus is on models for networks. We provide new ideas on modelling flow in networks and solve different optimization problems analytically and numerically. The main result is the derivation of a hierarchy of models treating different situations with suitable traffic flow models. To each level of modeling we consider the optimal control problems and present techniques to address those problems. Furthermore, we derive an adjoint calculus for scalar hyperbolic equations with nonlinear boundary controls. The derived concepts fit for general network problems as well as they do for traffic flow issues. The principles of modeling and simplification can be applied to all kinds of network flows, like fluid flow in open channels or gas networks.
