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Mathematical Descriptions Of Traffic Flow
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Book Synopsis Mathematical Descriptions of Traffic Flow: Micro, Macro and Kinetic Models by : Gabriella Puppo
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.
Book Synopsis Mathematical Theories of Traffic Flow by : Haight
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
Book Synopsis Traffic Flow Dynamics by : Martin Treiber
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.
Book Synopsis Mathematical Models by : Richard Haberman
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 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author uses mathematical techniques along with observations and experiments to give an in-depth look at models for mechanical vibrations, population dynamics, and traffic flow. Equal emphasis is placed on the mathematical formulation of the problem and the interpretation of the results. In the sections on mechanical vibrations and population dynamics, the author emphasizes the nonlinear aspects of ordinary differential equations and develops the concepts of equilibrium solutions and their stability. He introduces phase plane methods for the nonlinear pendulum and for predator-prey and competing species models. Haberman develops the method of characteristics to analyze the nonlinear partial differential equations that describe traffic flow. Fan-shaped characteristics describe the traffic situation that occurs when a traffic light turns green and shock waves describe the effects of a red light or traffic accident. Although it was written over 20 years ago, this book is still relevant. It is intended as an introduction to applied mathematics, but can be used for undergraduate courses in mathematical modeling or nonlinear dynamical systems or to supplement courses in ordinary or partial differential equations.
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
Book Synopsis A Mathematical Model of Traffic Flow on a Network of Unidirectional Roads by : Helge Holden
Download or read book A Mathematical Model of Traffic Flow on a Network of Unidirectional Roads written by Helge Holden and published by . This book was released on 1992 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Macroscopic Models for Vehicular Flows and Crowd Dynamics: Theory and Applications by : Massimiliano Daniele Rosini
Download or read book Macroscopic Models for Vehicular Flows and Crowd Dynamics: Theory and Applications written by Massimiliano Daniele Rosini and published by Springer. This book was released on 2013-03-15 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a systematic treatment of the theory for hyperbolic conservation laws and their applications to vehicular traffics and crowd dynamics. In the first part of the book, the author presents very basic considerations and gradually introduces the mathematical tools necessary to describe and understand the mathematical models developed in the following parts focusing on vehicular and pedestrian traffic. The book is a self-contained valuable resource for advanced courses in mathematical modeling, physics and civil engineering. A number of examples and figures facilitate a better understanding of the underlying concepts and motivations for the students. Important new techniques are presented, in particular the wave front tracking algorithm, the operator splitting approach, the non-classical theory of conservation laws and the constrained problems. This book is the first to present a comprehensive account of these fundamental new mathematical advances.
Book Synopsis Traffic Flow on Networks by : Mauro Garavello
Download or read book Traffic Flow on Networks written by Mauro Garavello and published by Debolsillo. This book was released on 2006 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematics of Traffic Flow Networks by : Michael Herty
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.
Book Synopsis Introduction to the Theory of Traffic Flow by : Wilhelm Leutzbach
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).
Book Synopsis Mathematical Theories of Traffic Flow by : Frank A. Haight
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:
Book Synopsis Traffic and Granular Flow ’01 by : Minoru Fukui
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.
Book Synopsis The Physics of Traffic by : Boris S. Kerner
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.
Book Synopsis Traffic and Granular Flow ' 07 by : Cécile Appert-Rolland
Download or read book Traffic and Granular Flow ' 07 written by Cécile Appert-Rolland and published by Springer Science & Business Media. This book was released on 2009-05-19 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers several research fields dealing with transport. This work covers three main topics including road traffic, granular matter, and biological transport. It considers different points of views including modelling, simulations, experiments, and phenomenological observations.
Book Synopsis Mathematical Models by : Richard Haberman
Download or read book Mathematical Models written by Richard Haberman and published by . This book was released on 1997 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Models for Vehicular Traffic on Networks by : Mauro Garavello
Download or read book Models for Vehicular Traffic on Networks written by Mauro Garavello and published by . This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to Traffic Flow Theory by : Lily Elefteriadou
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.
