Stochastic modelling of traffic flow

Authors:
I. Bonzani;L. Mussone
Affiliations:
Department of Mathematics Politecnico, Torino, Italy;Department of Hydraulics, Transport and Civil Infrastructures Politecnico, Torino, Italy
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2002

Citing 8
Cited 3

From the modelling of driver's behavior to hydrodynamic models and problems of traffic flow

Nonlinear Analysis: Real World Applications
Synchronized flow as a new traffic phase and related problems for traffic flow modelling

Mathematical and Computer Modelling: An International Journal
Reproducible features of congested highway traffic

Mathematical and Computer Modelling: An International Journal
Optimization of traffic flow conditions by minimization of quadratic functionals

Mathematical and Computer Modelling: An International Journal
Nonlinear hydrodynamic models of traffic flow modelling and mathematical problems

Mathematical and Computer Modelling: An International Journal
From the Boltzmann equation to generalized kinetic models in applied sciences

Mathematical and Computer Modelling: An International Journal
Hydrodynamic models of traffic flow: Drivers' behaviour and nonlinear diffusion

Mathematical and Computer Modelling: An International Journal
From the Jager and Segel model to kinetic population dynamics nonlinear evolution problems and applications

Mathematical and Computer Modelling: An International Journal

Boundary value steady solutions of a class of hydrodynamic models for vehicular traffic flow

Mathematical and Computer Modelling: An International Journal
From experiments to hydrodynamic traffic flow models: I-modelling and parameter identification

Mathematical and Computer Modelling: An International Journal
A finite volume method for scalar conservation laws with stochastic time-space dependent flux functions

Journal of Computational and Applied Mathematics

Quantified Score

Hi-index	0.98

Visualization

Abstract

This paper deals with a stochastic interpretation of experimental information related to vehicular traffic on roads. The analysis is first related to equilibrium conditions, then it is developed towards interpretation of nonequilibrium conditions and it is addressed to some proposals to revise classical kinetic models.