An $n$ -populations model for traffic flow

DOI10.1017/S0956792503005266zbMath1143.82323OpenAlexW2119826175MaRDI QIDQ4822203

Rinaldo M. Colombo, Sylvie Benzoni-Gavage

Publication date: 25 October 2004

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792503005266

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20) Transport processes in time-dependent statistical mechanics (82C70)

Related Items

On the hyperbolicity of certain models of polydisperse sedimentation ⋮ On second-order antidiffusive Lagrangian-remap schemes for multispecies kinematic flow models ⋮ Traffic Flow on a Road Network Using the Aw–Rascle Model ⋮ A MACRO MODEL FOR BICYCLE FLOW AND PEDESTRIAN FLOW WITH THE CONSIDERATION OF THE HONK EFFECTS ⋮ eXtended hybridizable discontinuous Galerkin (X-HDG) for void and bimaterial problems ⋮ Lagrangian-antidiffusive remap schemes for non-local multi-class traffic flow models ⋮ Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws ⋮ Adaptive multiresolution WENO schemes for multi-species kinematic flow models ⋮ A destination-preserving model for simulating Wardrop equilibria in traffic flow on networks ⋮ Characteristic-based schemes for multi-class Lighthill-Whitham-Richards traffic models ⋮ A well‐balanced and entropy stable scheme for a reduced blood flow model ⋮ Heterogeneous traffic flow modelling using second-order macroscopic continuum model ⋮ Macroscopic traffic flow modelling: from kinematic waves to autonomous vehicles ⋮ Fifth-Order A-WENO Path-Conservative Central-Upwind Scheme for Behavioral Non-Equilibrium Traffic Models ⋮ On the implementation of WENO schemes for a class of polydisperse sedimentation models ⋮ Mean-field limit of a hybrid system for multi-lane car-truck traffic ⋮ An easy-to-use algorithm for simulating traffic flow on networks: numerical experiments ⋮ Free-congested and micro-macro descriptions of traffic flow ⋮ A justification of a LWR model based on a follow the leader description ⋮ A two-dimensional data-driven model for traffic flow on highways ⋮ VERTEX FLOW MODELS FOR VEHICULAR TRAFFIC ON NETWORKS ⋮ Stochastic and coarse-grained two-dimensional modeling of directional particle movement ⋮ An easy-to-use algorithm for simulating traffic flow on networks: theoretical study ⋮ A new dynamic model for heterogeneous traffic flow ⋮ Uncertainty damping in kinetic traffic models by driver-assist controls ⋮ A DYNAMIC MODEL FOR THE HETEROGENEOUS TRAFFIC FLOW CONSISTING OF CAR, BICYCLE AND PEDESTRIAN ⋮ An Entropy Stable Scheme for the Multiclass Lighthill-Whitham-Richards Traffic Model ⋮ A family of numerical schemes for kinematic flows with discontinuous flux ⋮ On models of polydisperse sedimentation with particle-size-specific hindered-settling factors ⋮ Antidiffusive <scp>L</scp>agrangian‐remap schemes for models of polydisperse sedimentation ⋮ Polynomial viscosity methods for multispecies kinematic flow models ⋮ Minimising stop and go waves to optimise traffic flow. ⋮ A GENERALIZED KINETIC MODEL OF SEDIMENTATION OF POLYDISPERSE SUSPENSIONS WITH A CONTINUOUS PARTICLE SIZE DISTRIBUTION ⋮ A hybrid scheme for solving a multi-class traffic flow model with complex wave breaking ⋮ Conservation laws on complex networks ⋮ An Overview of Non-local Traffic Flow Models ⋮ A mixed system modeling two-directional pedestrian flows ⋮ COUPLING OF MICROSCOPIC AND MACROSCOPIC TRAFFIC MODELS AT BOUNDARIES ⋮ A multiclass Lighthill-Whitham-Richards traffic model with a discontinuous velocity function ⋮ Global Weak Solutions to the Cauchy Problem for a Two-Phase Model at a Node ⋮ Traffic flow modelling with junctions ⋮ Two algorithms for a fully coupled and consistently macroscopic PDE-ODE system modeling a moving bottleneck on a road ⋮ A note on the weighted essentially non-oscillatory numerical scheme for a multi-class Lighthill-Whitham-Richards traffic flow model ⋮ Multi-class traffic flow model based on three dimensional flow-concentration surface ⋮ A secular equation for the Jacobian matrix of certain multispecies kinematic flow models ⋮ A MultiLane Macroscopic Traffic Flow Model for Simple Networks ⋮ Non-local multi-class traffic flow models ⋮ Regularized Nonlinear Solvers for IMEX Methods Applied to Diffusively Corrected Multispecies Kinematic Flow Models ⋮ Existence and uniqueness results for a class of nonlocal conservation laws by means of a Lax–Hopf-type solution formula ⋮ A Diffusion-Based Analysis of a Multiclass Road Traffic Network ⋮ Linearly Implicit IMEX Runge--Kutta Methods for a Class of Degenerate Convection-Diffusion Problems ⋮ On Numerical Methods for Hyperbolic Conservation Laws and Related Equations Modelling Sedimentation of Solid-Liquid Suspensions ⋮ A Heterogeneous Multiclass Traffic Flow Model with Creeping ⋮ Derivation and analysis of continuum models for crossing pedestrian traffic