Modeling the driver's behavior on second-order macroscopic models of vehicular traffic flow

DOI10.1016/J.MCM.2003.09.042zbMath1102.90311OpenAlexW2020151720MaRDI QIDQ1776467

Ida Bonzani, Lorenzo Mussone

Publication date: 12 May 2005

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2003.09.042

zbMATH Keywords

HydrodynamicsConservation equationsTraffic flowModeling drivers

Mathematics Subject Classification ID

Traffic problems in operations research (90B20) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99)

Related Items (2)

On the velocity distribution at equilibrium in the mathematical theory of vehicular traffic flow ⋮ From experiments to hydrodynamic traffic flow models. II: Sensitivity analysis

Cites Work

• Unnamed Item
• From experiments to hydrodynamic traffic flow models. I: Modelling and parameter identifica\-tion
• From the modelling of driver's behavior to hydrodynamic models and problems of traffic flow
• Nonlinear hydrodynamic models of traffic flow modelling and mathematical problems
• Hydrodynamic models of traffic flow: drivers' behaviour and nonlinear diffusion.
• An improved macroscopic model of traffic flow: Derivation and links with the Lighthill-Whitham model
• Optimization of traffic flow conditions by minimization of quadratic functionals
• A \(2\times 2\) hyperbolic traffic flow model
• Extensions and Amplifications of a Traffic Model of Aw and Rascle
• Kinetic Derivation of Macroscopic Anticipation Models for Vehicular Traffic
• ON THE MATHEMATICAL THEORY OF VEHICULAR TRAFFIC FLOW I: FLUID DYNAMIC AND KINETIC MODELLING
• Resurrection of "Second Order" Models of Traffic Flow
• An introduction to the mechanics of fluids

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