Congestion Redux

DOI10.1137/S0036139903431737zbMath1053.35087MaRDI QIDQ4830578

James M. Greenberg

Publication date: 13 December 2004

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

shock wavestraffic congestionfollow-the-leadernegative velocitysecond-order traffic models

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20)

Related Items (21)

Solitary wave solution to Aw-Rascle viscous model of traffic flow ⋮ Discontinuous Galerkin finite element scheme for a conserved higher-order traffic flow model by exploring Riemann solvers ⋮ Synchronized flow and wide moving jams from balanced vehicular traffic ⋮ Modeling vehicular traffic networks. I. ⋮ Balanced vehicular traffic at a bottleneck ⋮ A class of multi-phase traffic theories for microscopic kinetic and continuum traffic models ⋮ A semi-discrete model of traffic flow in correspondence with a continuum model under Lagrange coordinate system ⋮ Traveling wave solution of higher-order traffic flow model with discontinuous fundamental diagram ⋮ Prediction of traffic convective instability with spectral analysis of the Aaw-Rascle-Zhang model ⋮ Analytic solutions for a functional differential equation related to a traffic flow model ⋮ A Hierarchy of Kinetic Discrete-Velocity Models for Traffic Flow Derived from a Nonlocal Prigogine–Herman Model ⋮ EXISTENCE OF SOLUTIONS FOR THE AW–RASCLE TRAFFIC FLOW MODEL WITH VACUUM ⋮ Comparative model accuracy of a data-fitted generalized Aw-Rascle-Zhang model ⋮ Steady-state traffic flow on a ring road with up- and down-slopes ⋮ A Nonlinear Discrete Velocity Relaxation Model For Traffic Flow ⋮ Travel time prediction with viscoelastic traffic model ⋮ Kinetic description of bottleneck effects in traffic flow ⋮ Phase-plane analysis to an “anisotropic” higher-order traffic flow model ⋮ Nonlinear dynamics of traffic jams ⋮ Data-Fitted Second-Order Macroscopic Production Models ⋮ Solitary wave solution to a class of higher-order viscous traffic flow model

This page was built for publication: Congestion Redux