Mathematical Theories Of Traffic Flow
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Mathematical Theories Of Traffic Flow
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Author : Haight
language : en
Publisher: Academic Press
Release Date : 1963-01-01
Mathematical Theories Of Traffic Flow written by Haight and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963-01-01 with Mathematics categories.
Mathematical Theories of Traffic Flow
Mathematical Theories Of Traffic Flow
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Author : Frank A. Haight
language : en
Publisher:
Release Date : 1974
Mathematical Theories Of Traffic Flow written by Frank A. Haight and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with categories.
Traffic Flow Theory
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Author : Daiheng Ni
language : en
Publisher: Butterworth-Heinemann
Release Date : 2015-11-09
Traffic Flow Theory written by Daiheng Ni and has been published by Butterworth-Heinemann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-09 with Technology & Engineering categories.
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
The Physics Of Traffic
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Author : Boris S. Kerner
language : en
Publisher: Springer
Release Date : 2012-12-06
The Physics Of Traffic written by Boris S. Kerner and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
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.
Traffic And Granular Flow 01
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Author : Minoru Fukui
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-09-03
Traffic And Granular Flow 01 written by Minoru Fukui and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-09-03 with Mathematics categories.
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."--Jacket.
Feedback Control Theory For Dynamic Traffic Assignment
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Author : Pushkin Kachroo
language : en
Publisher: Springer
Release Date : 2018-05-16
Feedback Control Theory For Dynamic Traffic Assignment written by Pushkin Kachroo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-16 with Technology & Engineering categories.
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.
An Introduction To Traffic Flow Theory
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Author : Lily Elefteriadou
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-19
An Introduction To Traffic Flow Theory written by Lily Elefteriadou and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-19 with Mathematics categories.
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.
Macroscopic Models For Vehicular Flows And Crowd Dynamics Theory And Applications
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Author : Massimiliano Daniele Rosini
language : en
Publisher: Springer
Release Date : 2013-03-15
Macroscopic Models For Vehicular Flows And Crowd Dynamics Theory And Applications written by Massimiliano Daniele Rosini and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-15 with Technology & Engineering categories.
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.
Mathematics Of Traffic Flow Networks
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Author : Michael Herty
language : en
Publisher:
Release Date : 2004
Mathematics Of Traffic Flow Networks written by Michael Herty and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Traffic flow categories.
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.
Mathematical Descriptions Of Traffic Flow Micro Macro And Kinetic Models
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Author : Gabriella Puppo
language : en
Publisher: Springer Nature
Release Date : 2021-03-31
Mathematical Descriptions Of Traffic Flow Micro Macro And Kinetic Models written by Gabriella Puppo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-31 with Mathematics categories.
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.