Stop-and-Go Waves: A Microscopic and a Macroscopic Description

DOI10.1007/978-3-030-66560-9_4zbMath1471.90049OpenAlexW3140608144MaRDI QIDQ4956853

Elisa Iacomini, Caterina Balzotti

Publication date: 2 September 2021

Published in: Mathematical Descriptions of Traffic Flow: Micro, Macro and Kinetic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-66560-9_4

zbMATH Keywords

stop-and-go wavessecond-order modelsfundamental diagramtraffic modelsfollow-the-leader models

Mathematics Subject Classification ID

Traffic problems in operations research (90B20)

Cites Work

• Many particle approximation of the Aw-Rascle-Zhang second order model for vehicular traffic
• Comparative model accuracy of a data-fitted generalized Aw-Rascle-Zhang model
• Traffic dynamics and simulation. Data models and applications of traffic flow dynamics.
• On stop-and-go waves in dense traffic
• The BGK approximation of kinetic models for traffic
• A mechanism to describe the formation and propagation of stop-and-go waves in congested freeway traffic
• Derivation of Continuum Traffic Flow Models from Microscopic Follow-the-Leader Models
• Deterministic microscopic three-phase traffic flow models
• From Traffic and Pedestrian Follow-the-Leader Models with Reaction Time to First Order Convection-Diffusion Flow Models
• Hyperbolic Phase Transitions in Traffic Flow
• Resurrection of "Second Order" Models of Traffic Flow
• A Nonlinear Discrete Velocity Relaxation Model For Traffic Flow
• Shock Waves on the Highway
• On kinematic waves II. A theory of traffic flow on long crowded roads