A Kinetic Model for Vehicular Traffic Derived from a Stochastic Microscopic Model

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ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (17 download)

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Book Synopsis A Kinetic Model for Vehicular Traffic Derived from a Stochastic Microscopic Model by : Raimund Wegener

Download or read book A Kinetic Model for Vehicular Traffic Derived from a Stochastic Microscopic Model written by Raimund Wegener and published by . This book was released on 1995 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Descriptions of Traffic Flow: Micro, Macro and Kinetic Models

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Publisher : Springer Nature
ISBN 13 : 3030665607
Total Pages : 102 pages
Book Rating : 4.0/5 (36 download)

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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.

Stochastic Two-Dimensional Microscopic Traffic Model

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Publisher : Springer Nature
ISBN 13 : 9819735971
Total Pages : 388 pages
Book Rating : 4.8/5 (197 download)

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Book Synopsis Stochastic Two-Dimensional Microscopic Traffic Model by : HongSheng Qi

Download or read book Stochastic Two-Dimensional Microscopic Traffic Model written by HongSheng Qi and published by Springer Nature. This book was released on with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Traffic Flow Theory

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Publisher : Butterworth-Heinemann
ISBN 13 : 0128041471
Total Pages : 414 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Traffic Flow Theory by : Daiheng Ni

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

Modeling in Applied Sciences

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Publisher : Springer Science & Business Media
ISBN 13 : 1461205131
Total Pages : 429 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Modeling in Applied Sciences by : Nicola Bellomo

Download or read book Modeling in Applied Sciences written by Nicola Bellomo and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling complex biological, chemical, and physical systems, in the context of spatially heterogeneous mediums, is a challenging task for scientists and engineers using traditional methods of analysis. Modeling in Applied Sciences is a comprehensive survey of modeling large systems using kinetic equations, and in particular the Boltzmann equation and its generalizations. An interdisciplinary group of leading authorities carefully develop the foundations of kinetic models and discuss the connections and interactions between model theories, qualitative and computational analysis and real-world applications. This book provides a thoroughly accessible and lucid overview of the different aspects, models, computations, and methodology for the kinetic-theory modeling process. Topics and Features: * Integrated modeling perspective utilized in all chapters * Fluid dynamics of reacting gases * Self-contained introduction to kinetic models * Becker–Doring equations * Nonlinear kinetic models with chemical reactions * Kinetic traffic-flow models * Models of granular media * Large communication networks * Thorough discussion of numerical simulations of Boltzmann equation This new book is an essential resource for all scientists and engineers who use large-scale computations for studying the dynamics of complex systems of fluids and particles. Professionals, researchers, and postgraduates will find the book a modern and authoritative guide to the topic.

Modeling Complex Living Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 0817646000
Total Pages : 229 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Modeling Complex Living Systems by : Nicola Bellomo

Download or read book Modeling Complex Living Systems written by Nicola Bellomo and published by Springer Science & Business Media. This book was released on 2007-10-05 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops new mathematical methods and tools to model living systems. The material it presents can be used in such real-world applications as immunology, transportation engineering, and economics. The first part of the book deals with deriving general evolution equations that can be customized to particular systems of interest in the applied sciences. The second part of the book deals with various models and applications. The book will be a valuable resource to all involved in modeling complex social systems and living matter in general.

Lecture Notes on the Mathematical Theory of Generalized Boltzmann Models

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Publisher : World Scientific
ISBN 13 : 9789810240783
Total Pages : 360 pages
Book Rating : 4.2/5 (47 download)

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Book Synopsis Lecture Notes on the Mathematical Theory of Generalized Boltzmann Models by : N. Bellomo

Download or read book Lecture Notes on the Mathematical Theory of Generalized Boltzmann Models written by N. Bellomo and published by World Scientific. This book was released on 2000 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on the idea that Boltzmann-like modelling methods can be developed to design, with special attention to applied sciences, kinetic-type models which are called generalized kinetic models. In particular, these models appear in evolution equations for the statistical distribution over the physical state of each individual of a large population. The evolution is determined both by interactions among individuals and by external actions. Considering that generalized kinetic models can play an important role in dealing with several interesting systems in applied sciences, the book provides a unified presentation of this topic with direct reference to modelling, mathematical statement of problems, qualitative and computational analysis, and applications. Models reported and proposed in the book refer to several fields of natural, applied and technological sciences. In particular, the following classes of models are discussed: population dynamics and socio-economic behaviours, models of aggregation and fragmentation phenomena, models of biology and immunology, traffic flow models, models of mixtures and particles undergoing classic and dissipative interactions.

Models for Vehicular Traffic on Networks

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Publisher :
ISBN 13 : 9781601330192
Total Pages : 0 pages
Book Rating : 4.3/5 (31 download)

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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:

Kinetic Theory and Swarming Tools to Modeling Complex Systems—Symmetry problems in the Science of Living Systems

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Publisher : MDPI
ISBN 13 : 3039288792
Total Pages : 118 pages
Book Rating : 4.0/5 (392 download)

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Book Synopsis Kinetic Theory and Swarming Tools to Modeling Complex Systems—Symmetry problems in the Science of Living Systems by : Nicola Bellomo

Download or read book Kinetic Theory and Swarming Tools to Modeling Complex Systems—Symmetry problems in the Science of Living Systems written by Nicola Bellomo and published by MDPI. This book was released on 2020-05-29 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: This MPDI book comprises a number of selected contributions to a Special Issue devoted to the modeling and simulation of living systems based on developments in kinetic mathematical tools. The focus is on a fascinating research field which cannot be tackled by the approach of the so-called hard sciences—specifically mathematics—without the invention of new methods in view of a new mathematical theory. The contents proposed by eight contributions witness the growing interest of scientists this field. The first contribution is an editorial paper which presents the motivations for studying the mathematics and physics of living systems within the framework an interdisciplinary approach, where mathematics and physics interact with specific fields of the class of systems object of modeling and simulations. The different contributions refer to economy, collective learning, cell motion, vehicular traffic, crowd dynamics, and social swarms. The key problem towards modeling consists in capturing the complexity features of living systems. All articles refer to large systems of interaction living entities and follow, towards modeling, a common rationale which consists firstly in representing the system by a probability distribution over the microscopic state of the said entities, secondly, in deriving a general mathematical structure deemed to provide the conceptual basis for the derivation of models and, finally, in implementing the said structure by models of interactions at the microscopic scale. Therefore, the modeling approach transfers the dynamics at the low scale to collective behaviors. Interactions are modeled by theoretical tools of stochastic game theory. Overall, the interested reader will find, in the contents, a forward look comprising various research perspectives and issues, followed by hints on to tackle these.

Interacting Multiagent Systems

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Publisher : Oxford University Press, USA
ISBN 13 : 0199655464
Total Pages : 391 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis Interacting Multiagent Systems by : Lorenzo Pareschi

Download or read book Interacting Multiagent Systems written by Lorenzo Pareschi and published by Oxford University Press, USA. This book was released on 2014 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical modelling of systems constituted by many agents using kinetic theory is a new tool that has proved effective in predicting the emergence of collective behaviours and self-organization. This idea has been applied by the authors to various problems which range from sociology to economics and life sciences.

Traffic Flow Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642324592
Total Pages : 505 pages
Book Rating : 4.6/5 (423 download)

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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.

Stochastic Evolutions of Dynamic Traffic Flow

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Publisher : Springer
ISBN 13 : 3662445727
Total Pages : 202 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Stochastic Evolutions of Dynamic Traffic Flow by : Xiqun (Michael) Chen

Download or read book Stochastic Evolutions of Dynamic Traffic Flow written by Xiqun (Michael) Chen and published by Springer. This book was released on 2014-09-18 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reveals the underlying mechanisms of complexity and stochastic evolutions of traffic flows. Using Eulerian and Lagrangian measurements, the authors propose lognormal headway/spacing/velocity distributions and subsequently develop a Markov car-following model to describe drivers’ random choices concerning headways/spacings, putting forward a stochastic fundamental diagram model for wide scattering flow-density points. In the context of highway onramp bottlenecks, the authors present a traffic flow breakdown probability model and spatial-temporal queuing model to improve the stability and reliability of road traffic flows. This book is intended for researchers and graduate students in the fields of transportation engineering and civil engineering.

Discrete Kinetic and Stochastic Game Theory for Vehicular Traffic

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (14 download)

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Book Synopsis Discrete Kinetic and Stochastic Game Theory for Vehicular Traffic by : Andrea Tosin

Download or read book Discrete Kinetic and Stochastic Game Theory for Vehicular Traffic written by Andrea Tosin and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Active Particles, Volume 1

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Publisher : Birkhäuser
ISBN 13 : 3319499963
Total Pages : 410 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Active Particles, Volume 1 by : Nicola Bellomo

Download or read book Active Particles, Volume 1 written by Nicola Bellomo and published by Birkhäuser. This book was released on 2017-04-06 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects ten surveys on the modeling, simulation, and applications of active particles using methods ranging from mathematical kinetic theory to nonequilibrium statistical mechanics. The contributing authors are leading experts working in this challenging field, and each of their chapters provides a review of the most recent results in their areas and looks ahead to future research directions. The approaches to studying active matter are presented here from many different perspectives, such as individual-based models, evolutionary games, Brownian motion, and continuum theories, as well as various combinations of these. Applications covered include biological network formation and network theory; opinion formation and social systems; control theory of sparse systems; theory and applications of mean field games; population learning; dynamics of flocking systems; vehicular traffic flow; and stochastic particles and mean field approximation. Mathematicians and other members of the scientific community interested in active matter and its many applications will find this volume to be a timely, authoritative, and valuable resource.

Modeling Complex Living Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 0817645101
Total Pages : 229 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Modeling Complex Living Systems by : N. Bellomo

Download or read book Modeling Complex Living Systems written by N. Bellomo and published by Springer Science & Business Media. This book was released on 2008 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Develops different mathematical methods and tools to model living systems. This book presents material that can be used in such real-world applications as immunology, transportation engineering, and economics. It is of interest to those involved in modeling complex social systems and living matter in general.

Government Reports Announcements & Index

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Publisher :
ISBN 13 :
Total Pages : 792 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis Government Reports Announcements & Index by :

Download or read book Government Reports Announcements & Index written by and published by . This book was released on 1995 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Macroscopic Models for Vehicular Flows and Crowd Dynamics: Theory and Applications

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Publisher : Springer
ISBN 13 : 3319001558
Total Pages : 244 pages
Book Rating : 4.3/5 (19 download)

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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.