Jamming transition in traffic flow refers to the sudden transition from a free-flowing state to a
jammed state as the traffic density increases. This transition is of great interest to traffic …

A global framework for linear stability analyses of traffic models, based on the dispersion
relation root locus method, is presented and is applied taking the example of a broad class …

This paper is mainly concerned with the Riemann problem for a hyperbolic system arising
from a traffic flow model, whose Riemann solutions are obtained constructively in terms of …

In Prigogine's traffic kinetic model, the expected velocity of each driver is assumed to be
independent of time, and its relaxation term is ignored. In Paveri–Fontana's model, the …

This study deals with the modeling of merge sections from a macroscopic point of view. It is
well known that the first-order macroscopic model is not able to reproduce the capacity drop …

Résumé The traffic engineering community currently faces the advent of a new generation of
Intelligent Transportation Systems (ITS), known as cooperative systems. More specifically …

The evolution of a line of vehicles on a ring is modeled by means of first-order car-following
models. Three generic models describe the speed of a vehicle as a function of the spacing …

The complete set of exact solutions to the Riemann problem for a novel second-order
continuous macroscopic traffic flow model proposed by Hwang and Yu (J Comput Phys 350 …

We investigate the problem of controller design after linearization around the steady-state
solutions of second-order traffic models. At steady-state the traffic variables follow space …

Ce travail porte sur la modélisation et la simulation du trafic routier sur un réseau. Modéliser
le trafic sur une section homogène (c'est-à-dire sans entrée, ni sortie) trouve ses racines au …