A kinetic model for vehicular traffic derived from a stochastic microscopic model
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Publication:5859707
DOI10.1080/00411459608203547zbMath1467.82077OpenAlexW2022308125MaRDI QIDQ5859707
Publication date: 20 April 2021
Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)
Full work available at URL: http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:hbz:386-kluedo-5380
Traffic problems in operations research (90B20) PDEs with randomness, stochastic partial differential equations (35R60) Kinetic theory of gases in time-dependent statistical mechanics (82C40)
Related Items (12)
Uncertainty quantification in hierarchical vehicular flow models ⋮ On the emergence of traffic jams in a stochastic traffic flow driven by additive and multiplicative white Gaussian noise processes ⋮ From the Boltzmann equation to generalized kinetic models in applied sciences ⋮ The BGK approximation of kinetic models for traffic ⋮ Asymptotic problems and numerical schemes for traffic flows with unilateral constraints describing the formation of jams ⋮ Macroscopic Modeling of Multilane Motorways Using a Two-Dimensional Second-Order Model of Traffic Flow ⋮ Kinetic models for traffic flow resulting in a reduced space of microscopic velocities ⋮ From the modelling of driver's behavior to hydrodynamic models and problems of traffic flow ⋮ The direct simulation Monte Carlo method applied to a Boltzmann-like vehicular traffic flow model ⋮ Existence and Hydrodynamic Limit for a Paveri-Fontana Type Kinetic Traffic Model ⋮ Studying perturbations and wave propagations by lane closures on traffic characteristics based on a dynamic approach ⋮ Model of vehicle interactions with autonomous cars and its properties
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