Mathematical Descriptions Of Traffic Flow Micro Macro And Kinetic Models

Author : Gabriella Puppo,Andrea Tosin
Publisher : Springer Nature
Page : 102 pages
File Size : 46,7 Mb
Release : 2021-03-31
Category : Mathematics
ISBN : 9783030665609

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Mathematical Descriptions of Traffic Flow: Micro, Macro and Kinetic Models by Gabriella Puppo,Andrea Tosin Pdf

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 : Martin Treiber,Arne Kesting
Publisher : Springer Science & Business Media
Page : 505 pages
File Size : 47,6 Mb
Release : 2012-10-10
Category : Science
ISBN : 9783642324604

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Traffic Flow Dynamics by Martin Treiber,Arne Kesting Pdf

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 : Massimiliano Daniele Rosini
Publisher : Springer
Page : 242 pages
File Size : 50,5 Mb
Release : 2013-03-15
Category : Technology & Engineering
ISBN : 9783319001555

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Macroscopic Models for Vehicular Flows and Crowd Dynamics: Theory and Applications by Massimiliano Daniele Rosini Pdf

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.

Author : Ana Cristina Bicharra Garcia,Mariza Ferro,Julio Cesar Rodríguez Ribón
Publisher : Springer Nature
Page : 422 pages
File Size : 55,8 Mb
Release : 2023-01-03
Category : Computers
ISBN : 9783031224195

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Advances in Artificial Intelligence – IBERAMIA 2022 by Ana Cristina Bicharra Garcia,Mariza Ferro,Julio Cesar Rodríguez Ribón Pdf

This book constitutes the refereed proceedings of the 17th Ibero-American Conference on Artificial Intelligence, IBERAMIA 2022, held in Cartagena de Indias, Colombia, in November 2022. The 33 full and 4 short papers presented were carefully reviewed and selected from 67 submissions. The papers are organized in the following topical sections: applications of AI; ethics and smart city; green and sustainable AI; machine learning; natural language processing; robotics and computer vision; simulation and forecasting.

Author : Richard Haberman
Publisher : SIAM
Page : 419 pages
File Size : 40,5 Mb
Release : 1998-12-01
Category : Mathematics
ISBN : 1611971152

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Mathematical Models by Richard Haberman Pdf

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.

Author : Tomás Chacón Rebollo,Rosa Donat,Inmaculada Higueras
Publisher : Springer Nature
Page : 276 pages
File Size : 42,8 Mb
Release : 2022
Category : Electronic
ISBN : 9783030862367

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Recent Advances in Industrial and Applied Mathematics by Tomás Chacón Rebollo,Rosa Donat,Inmaculada Higueras Pdf

This open access book contains review papers authored by thirteen plenary invited speakers to the 9th International Congress on Industrial and Applied Mathematics (Valencia, July 15-19, 2019). Written by top-level scientists recognized worldwide, the scientific contributions cover a wide range of cutting-edge topics of industrial and applied mathematics: mathematical modeling, industrial and environmental mathematics, mathematical biology and medicine, reduced-order modeling and cryptography. The book also includes an introductory chapter summarizing the main features of the congress. This is the first volume of a thematic series dedicated to research results presented at ICIAM 2019-Valencia Congress.

Author : Sandra Warnecke
Publisher : BoD – Books on Demand
Page : 222 pages
File Size : 54,6 Mb
Release : 2022-10-11
Category : Science
ISBN : 9783958261921

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Numerical schemes for multi-species BGK equations based on a variational procedure by Sandra Warnecke Pdf

Many applications require reliable numerical simulations of realistic set-ups e.g. plasma physics. This book gives a short introduction into kinetic models of gas mixtures describing the time evolution of rarefied gases and plasmas. Recently developed models are presented which extend existing literature by including more physical phenomena. We develop a numerical scheme for these more elaborated equations. The scheme is proven to maintain the physical properties of the models at the discrete level. We show several numerical test cases inspired by physical experiments.

Author : Helge Holden,Nils Henrik Risebro
Publisher : Unknown
Page : 17 pages
File Size : 49,9 Mb
Release : 1992
Category : Electronic
ISBN : 8255308067

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A Mathematical Model of Traffic Flow on a Network of Unidirectional Roads by Helge Holden,Nils Henrik Risebro Pdf

Author : Serge P. Hoogendoorn,Stefan Luding,Piet H.L. Bovy,Michael Schreckenberg,Dietrich E. Wolf
Publisher : Springer Science & Business Media
Page : 593 pages
File Size : 46,7 Mb
Release : 2007-08-15
Category : Mathematics
ISBN : 9783540280910

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Traffic and Granular Flow ' 03 by Serge P. Hoogendoorn,Stefan Luding,Piet H.L. Bovy,Michael Schreckenberg,Dietrich E. Wolf Pdf

These proceedings are the fifth in the series Traffic and Granular Flow, and we hope they will be as useful a reference as their predecessors. Both the realistic modelling of granular media and traffic flow present important challenges at the borderline between physics and engineering, and enormous progress has been made since 1995, when this series started. Still the research on these topics is thriving, so that this book again contains many new results. Some highlights addressed at this conference were the influence of long range electric and magnetic forces and ambient fluids on granular media, new precise traffic measurements, and experiments on the complex decision making of drivers. No doubt the “hot topics” addressed in granular matter research have diverged from those in traffic since the days when the obvious analogies between traffic jams on highways and dissipative clustering in granular flow intrigued both c- munities alike. However, now just this diversity became a stimulating feature of the conference. Many of us feel that our joint interest in complex systems, where many simple agents, be it vehicles or particles, give rise to surprising and fascin- ing phenomena, is ample justification for bringing these communities together: Traffic and Granular Flow has fostered cooperation and friendship across the scientific disciplines.

Author : Kecai Cao,YangQuan Chen
Publisher : Walter de Gruyter GmbH & Co KG
Page : 138 pages
File Size : 49,8 Mb
Release : 2018-06-11
Category : Mathematics
ISBN : 9783110473988

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Fractional Order Crowd Dynamics by Kecai Cao,YangQuan Chen Pdf

This book illustrates the application of fractional calculus in crowd dynamics via modeling and control groups of pedestrians. Decision-making processes, conservation laws of mass/momentum, and micro-macro models are employed to describe system dynamics while cooperative movements in micro scale, and fractional diffusion in macro scale are studied to control the group of pedestrians. Obtained work is included in the Intelligent Evacuation Systems that is used for modeling and to control crowds of pedestrians. With practical issues considered, this book is of interests to mathematicians, physicists, and engineers.

Author : Haight
Publisher : Academic Press
Page : 241 pages
File Size : 51,7 Mb
Release : 1963-01-01
Category : Mathematics
ISBN : 9780080955155

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Mathematical Theories of Traffic Flow by Haight Pdf

Mathematical Theories of Traffic Flow

Author : Michael Herty
Publisher : Unknown
Page : 150 pages
File Size : 47,9 Mb
Release : 2004
Category : Traffic flow
ISBN : NWU:35556036549772

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Mathematics of Traffic Flow Networks by Michael Herty Pdf

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.

Author : Daiheng Ni
Publisher : Butterworth-Heinemann
Page : 412 pages
File Size : 42,5 Mb
Release : 2015-11-09
Category : Technology & Engineering
ISBN : 9780128041475

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Traffic Flow Theory by Daiheng Ni Pdf

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 : Vladimir L. Boginski,Clayton W. Commander,Panos M. Pardalos,Yinyu Ye
Publisher : Springer Science & Business Media
Page : 245 pages
File Size : 45,8 Mb
Release : 2011-11-24
Category : Mathematics
ISBN : 9780387886190

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Sensors: Theory, Algorithms, and Applications by Vladimir L. Boginski,Clayton W. Commander,Panos M. Pardalos,Yinyu Ye Pdf

The objective of this book is to advance the current knowledge of sensor research particularly highlighting recent advances, current work, and future needs. The goal is to share current technologies and steer future efforts in directions that will benefit the majority of researchers and practitioners working in this broad field of study.

Author : Chris Magda Jules Tampère
Publisher : Unknown
Page : 332 pages
File Size : 51,7 Mb
Release : 2004
Category : Driver assistance systems
ISBN : NWU:35556035055433

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Human-kinetic Multiclass Traffic Flow Theory and Modelling by Chris Magda Jules Tampère Pdf