Modelling and simulations of multilane traffic flow by kinetic theory methods
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Publication:2389728
DOI10.1016/j.camwa.2008.05.033zbMath1165.90372OpenAlexW2064622092MaRDI QIDQ2389728
Ida Bonzani, Liliana M. Gramani Cumin
Publication date: 18 July 2009
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2008.05.033
Nonlinear first-order PDEs (35F20) Traffic problems in operations research (90B20) Kinetic theory of gases in time-dependent statistical mechanics (82C40)
Related Items (4)
TOWARDS THE MODELING OF VEHICULAR TRAFFIC AS A COMPLEX SYSTEM: A KINETIC THEORY APPROACH ⋮ Some theoretical reasonings on the use and abuse of empirical data for vehicular traffic modelling ⋮ On the derivation of the velocity and fundamental traffic flow diagram from the modelling of the vehicle-driver behaviors ⋮ On the modelling of vehicular traffic and crowds by kinetic theory of active particles
Cites Work
- On the mathematical theory of vehicular traffic flow. II: Discrete velocity kinetic models
- On the modeling of granular traffic flow by the kinetic theory for active particles trend to equilibrium and macroscopic behavior
- Nonlinear models of vehicular traffic flow - new frameworks of the mathematical kinetic theory
- From the modelling of driver's behavior to hydrodynamic models and problems of traffic flow
- From the discrete kinetic theory of vehicular traffic flow to computing the velocity distribution at equilibrium
- A Hierarchy of Models for Multilane Vehicular Traffic I: Modeling
- Congestion on Multilane Highways
- ON THE MATHEMATICAL THEORY OF VEHICULAR TRAFFIC FLOW I: FLUID DYNAMIC AND KINETIC MODELLING
- MATHEMATICAL MODELING OF VEHICULAR TRAFFIC: A DISCRETE KINETIC THEORY APPROACH
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