Traffic and related self-driven many-particle systems
D Helbing - Reviews of modern physics, 2001 - APS
Since the subject of traffic dynamics has captured the interest of physicists, many surprising
effects have been revealed and explained. Some of the questions now understood are the …
effects have been revealed and explained. Some of the questions now understood are the …
Resurrection of" second order" models of traffic flow
A Aw, M Rascle - SIAM journal on applied mathematics, 2000 - SIAM
We introduce a new" second order" model of traffic flow. As noted in [C. Daganzo, Requiem
for second-order fluid with approximation to traffic flow, Transportation Res. Part B, 29 …
for second-order fluid with approximation to traffic flow, Transportation Res. Part B, 29 …
On the mathematical theory of vehicular traffic flow I: Fluid dynamic and kinetic modelling
N Bellomo, M Delitala, V Coscia - Mathematical Models and …, 2002 - World Scientific
This review reports the existing literature on traffic flow modelling in the framework of a
critical overview which aims to indicate research perspectives. The contents mainly refer to …
critical overview which aims to indicate research perspectives. The contents mainly refer to …
On the modeling of traffic and crowds: A survey of models, speculations, and perspectives
N Bellomo, C Dogbe - SIAM review, 2011 - SIAM
This paper presents a review and critical analysis of the mathematical literature concerning
the modeling of vehicular traffic and crowd phenomena. The survey of models deals with the …
the modeling of vehicular traffic and crowd phenomena. The survey of models deals with the …
Traffic flow on a road network using the Aw–Rascle model
The article deals with a fluid dynamic model for traffic flow on a road network. This consists
of a hyperbolic system of two equations proposed in Aw and Rascle. A method to solve …
of a hyperbolic system of two equations proposed in Aw and Rascle. A method to solve …
On the modelling crowd dynamics from scaling to hyperbolic macroscopic models
N Bellomo, C Dogbe - … Models and Methods in Applied Sciences, 2008 - World Scientific
This paper, that deals with the modelling of crowd dynamics, is the first one of a project
finalized to develop a mathematical theory refereing to the modelling of the complex systems …
finalized to develop a mathematical theory refereing to the modelling of the complex systems …
A model for the formation and evolution of traffic jams
F Berthelin, P Degond, M Delitala, M Rascle - Archive for Rational …, 2008 - Springer
In this paper, we establish and analyze a traffic flow model which describes the formation
and dynamics of traffic jams. It consists of a pressureless gas dynamics system under a …
and dynamics of traffic jams. It consists of a pressureless gas dynamics system under a …
Modeling, simulation, and optimization of traffic flow networks
A new model for highway traffic networks based on a detailed description of the junctions is
presented. To obtain suitable conditions at the junctions, multilane equations are introduced …
presented. To obtain suitable conditions at the junctions, multilane equations are introduced …
[HTML][HTML] The Aw–Rascle vehicular traffic flow model with phase transitions
P Goatin - Mathematical and computer modelling, 2006 - Elsevier
We introduce a new model of vehicular traffic flow with phase transitions. The model is
obtained by coupling together the classical Lighthill–Whitham–Richards equation with the …
obtained by coupling together the classical Lighthill–Whitham–Richards equation with the …
Optimal control for traffic flow networks
We consider traffic flow models for road networks where the flow is controlled at the nodes of
the network. For the analytical and numerical optimization of the control, the knowledge of …
the network. For the analytical and numerical optimization of the control, the knowledge of …