From experiments to hydrodynamic traffic flow models. I: Modelling and parameter identifica\-tion

DOI10.1016/S0895-7177(03)90051-3zbMath1080.90018MaRDI QIDQ597431

Lorenzo Mussone, Ida Bonzani

Publication date: 6 August 2004

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

zbMATH Keywords

identificationHydrodynamicsConservation equationsParametersTraffic flow

Mathematics Subject Classification ID

Traffic problems in operations research (90B20)

Related Items (14)

TOWARDS THE MODELING OF VEHICULAR TRAFFIC AS A COMPLEX SYSTEM: A KINETIC THEORY APPROACH ⋮ On the velocity distribution at equilibrium in the mathematical theory of vehicular traffic flow ⋮ MATHEMATICAL MODELING OF VEHICULAR TRAFFIC: A DISCRETE KINETIC THEORY APPROACH ⋮ On the emergence of traffic jams in a stochastic traffic flow driven by additive and multiplicative white Gaussian noise processes ⋮ From the discrete kinetic theory of vehicular traffic flow to computing the velocity distribution at equilibrium ⋮ Boundary value steady solutions of a class of hydrodynamic models for vehicular traffic flow ⋮ Fundamental diagrams for kinetic equations of traffic flow ⋮ Hyperbolicity analysis of a class of dynamical systems modelling traffic flow ⋮ Critical analysis and perspectives on the hydrodynamic approach for the mathematical theory of vehicular traffic ⋮ Modeling the driver's behavior on second-order macroscopic models of vehicular traffic flow ⋮ An efficient numerical parameter estimation scheme for the space-dependent dispersion coefficient of a solute transport equation in porous media ⋮ Crowd dynamics on a moving platform: mathematical modelling and application to lively footbridges ⋮ On the Global Controllability of Scalar Conservation Laws with Boundary and Source Controls ⋮ From experiments to hydrodynamic traffic flow models. II: Sensitivity analysis

Cites Work

• Unnamed Item
• From the modelling of driver's behavior to hydrodynamic models and problems of traffic flow
• Nonlinear models and problems in applied sciences from differential quadrature to generalized collocation methods
• Stochastic modelling of traffic flow.
• Nonlinear hydrodynamic models of traffic flow modelling and mathematical problems
• Hydrodynamic models of traffic flow: drivers' behaviour and nonlinear diffusion.
• Synchronized flow as a new traffic phase and related problems for traffic flow modelling
• Micro- and macro-simulation of freeway traffic
• Optimization of traffic flow conditions by minimization of quadratic functionals
• Experimental Features of Self-Organization in Traffic Flow
• A WELL-BALANCED SCHEME USING NON-CONSERVATIVE PRODUCTS DESIGNED FOR HYPERBOLIC SYSTEMS OF CONSERVATION LAWS WITH SOURCE TERMS
• ON THE EXISTENCE OF SPATIALLY PATTERNED DORMANT MALIGNANCIES IN A MODEL FOR THE GROWTH OF NON-NECROTIC VASCULAR TUMORS
• ERROR ESTIMATE FOR A SPLITTING METHOD APPLIED TO CONVECTION-REACTION EQUATIONS
• ON THE MATHEMATICAL THEORY OF VEHICULAR TRAFFIC FLOW I: FLUID DYNAMIC AND KINETIC MODELLING
• GENERALIZED KINETIC (BOLTZMANN) MODELS: MATHEMATICAL STRUCTURES AND APPLICATIONS
• Solution of nonlinear problems in applied sciences by generalized collocation methods and Mathematica.

This page was built for publication: From experiments to hydrodynamic traffic flow models. I: Modelling and parameter identifica\-tion