Author: I. Bonzani Publisher: ISBN: Category : Languages : en Pages : 9
Book Description
This paper deals with the modeling and qualitative analysis, with special attention to hyperbolicity analysis, of a large class of second-order hydrodynamic traffic flow models. These models are obtained from conservation equations for mass and momentum properly closed by constitutive relations related to the modeling of the behaviour of drivers in the flow.
Author: Martin Treiber Publisher: Springer Science & Business Media ISBN: 3642324592 Category : Science Languages : en Pages : 505
Book Description
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: Gabriella Puppo Publisher: Springer Nature ISBN: 3030665607 Category : Mathematics Languages : en Pages : 102
Book Description
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 ISBN: 3540409866 Category : Science Languages : en Pages : 688
Book Description
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: N. Bellomo Publisher: Springer Science & Business Media ISBN: 0817645101 Category : Mathematics Languages : en Pages : 229
Book Description
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.
Author: Femke Kessels Publisher: Springer ISBN: 3319786954 Category : Business & Economics Languages : en Pages : 139
Book Description
This book introduces readers to the main traffic flow modelling approaches and discusses their features and applications. It provides a comprehensive and cutting-edge review of traffic flow models, from their roots in the 1930s to the latest developments in the field. In addition, it presents problem sets that offer readers further insights into the models and hands-on experience with simulation approaches. The simulations used in the exercises can be built upon for readers’ own research or other applications. The models discussed in this book are applied to describe, predict and control traffic flows on roads with the aid of rapid and accurate estimations of current and future states. The book shows how these models are developed, what their chief characteristics are, and how they can be effectively employed.
Author: Bert van Wee Publisher: Edward Elgar Publishing ISBN: 1802206779 Category : Business & Economics Languages : en Pages : 403
Book Description
This extensively updated textbook introduces the transport system and its societal impacts in a holistic and multidisciplinary way. A timely second edition, it includes new analyses of travel behaviour and the transport system’s impacts on health and well-being.
Author: Massimiliano Daniele Rosini Publisher: Springer ISBN: 3319001558 Category : Technology & Engineering Languages : en Pages : 244
Book Description
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: I. Bonzani
Author: Martin Treiber
Author: Mauro Garavello
Author: Gabriella Puppo
Author: Dong Ngoduy
Author: Boris S. Kerner
Author: N. Bellomo
Author: Femke Kessels
Author: Bert van Wee
Author: Massimiliano Daniele Rosini