scholarly journals A Fully-Discrete-State Kinetic Theory Approach to Modeling Vehicular Traffic

2013 ◽  
Vol 73 (4) ◽  
pp. 1533-1556 ◽  
Author(s):  
Luisa Fermo ◽  
Andrea Tosin
Keyword(s):  
Kinetic Theory ◽  
Theory Approach ◽  
Vehicular Traffic ◽  
Discrete State ◽  
Fully Discrete ◽  
State Kinetic

scholarly journals A fully-discrete-state kinetic theory approach to traffic flow on road networks

2014 ◽  
Vol 25 (03) ◽  
pp. 423-461 ◽  
Author(s):  
Luisa Fermo ◽  
Andrea Tosin
Keyword(s):  
Kinetic Equations ◽  
Road Networks ◽  
Point Of View ◽  
Theory Approach ◽  
Hydrodynamic Models ◽  
Discrete State ◽  
New Approach ◽  
Traffic Models ◽  
Fully Discrete ◽  
State Kinetic

This paper presents a new approach to the modeling of vehicular traffic flows on road networks based on kinetic equations. While in the literature the problem has been extensively studied by means of macroscopic hydrodynamic models, to date there are still not, to the authors' knowledge, contributions tackling it from a genuine statistical mechanics point of view. Probably one of the reasons is the higher technical complexity of kinetic traffic models, further increased in case of several interconnected roads. Here such difficulties of the theory are overcome by taking advantage of a discrete structure of the space of microscopic states of the vehicles, which is also significant in view of including the intrinsic microscopic granularity of the system in the mesoscopic representation.

scholarly journals Special Issue “Kinetic Theory and Swarming Tools to Modeling Complex Systems—Symmetry problems in the Science of Living Systems”—Editorial and Research Perspectives

Symmetry ◽  
2020 ◽  
Vol 12 (3) ◽  
pp. 456
Author(s):  
Nicola Bellomo ◽  
Damián A. Knopoff ◽  
Pietro Terna
Keyword(s):  
Kinetic Theory ◽  
Complex Systems ◽  
Collective Learning ◽  
Living Systems ◽  
Theory Approach ◽  
Vehicular Traffic ◽  
Modeling And Simulations ◽  
Special Issue ◽  
Research Perspectives

This editorial paper presents a special issue devoted to the development of mathematical tools from kinetic and swarms theory to the modeling and simulations of the dynamics of living systems constituted by very many interacting living entities. Applications refer to several fields: collective learning, behavioral economy, multicellular systems, vehicular traffic, and human crowds. A forward look to research perspectives is focused on the conceptual links between swarms methods and the kinetic theory approach.

TOWARDS THE MODELING OF VEHICULAR TRAFFIC AS A COMPLEX SYSTEM: A KINETIC THEORY APPROACH

2012 ◽  
Vol 22 (supp01) ◽  
pp. 1140003 ◽  
Author(s):  
A. BELLOUQUID ◽  
E. DE ANGELIS ◽  
L. FERMO
Keyword(s):  
Complex System ◽  
Kinetic Theory ◽  
Theory Approach ◽  
Vehicular Traffic ◽  
System A ◽  
Proposed Model ◽  
Heterogeneous Behavior ◽  
Large Complex System ◽  
Micro Systems ◽  
Single Part

Kinetic theory methods are applied in this paper to model the dynamics of vehicular traffic. The basic idea is to consider each vehicular-driver system as a single part, or micro-system, of a large complex system, in order to capture the heterogeneous behavior of all the micro-systems that compose the overall system. The evolution of the system is ruled by nonlinearly additive interactions described by stochastic games. A qualitative analysis for the proposed model with discrete states is developed, showing well-posedness of the related Cauchy problem for the spatially homogeneous case and for the spatially nonhomogeneous case, the latter with periodic boundary conditions. Numerical simulations are also performed, with the aim to show how the model proposed is able to reproduce empirical data and to show emerging behavior as the formation of clusters.

Analysis of binary and ternary granular mixtures behavior using the kinetic theory approach

2005 ◽  
Vol 151 (1-3) ◽  
pp. 117-125 ◽  
Author(s):  
Hadjira Iddir ◽  
Hamid Arastoopour ◽  
Christine M. Hrenya
Keyword(s):  
Kinetic Theory ◽  
Theory Approach ◽  
Granular Mixtures

Kinetic theory approach to twin plane jets turbulent mixing analysis

AIAA Journal ◽  
1988 ◽  
Vol 26 (3) ◽  
pp. 303-310 ◽  
Author(s):  
Zuu-Chang Hong ◽  
Shu-Hao Chuang
Keyword(s):  
Kinetic Theory ◽  
Turbulent Mixing ◽  
Twin Plane ◽  
Theory Approach ◽  
Plane Jets
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