Mesoscopic derivation of a fundamental diagram of one-lane traffic

DOI10.1016/S0375-9601(02)01082-4zbMath0997.90015OpenAlexW2023781479MaRDI QIDQ1612852

Roger Filliger, Max-Olivier Hongler

Publication date: 4 September 2002

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(02)01082-4

zbMATH Keywords

nonlinear Boltzmann equationfunctional relationsdiscrete velocity model

Mathematics Subject Classification ID

Traffic problems in operations research (90B20)

Related Items (6)

TOWARDS THE MODELING OF VEHICULAR TRAFFIC AS A COMPLEX SYSTEM: A KINETIC THEORY APPROACH ⋮ Local versus nonlocal barycentric interactions in 1D agent dynamics ⋮ MODELING TRAFFIC FLOWS WITH QUEUEING MODELS: A REVIEW ⋮ Synchronous asymmetric exclusion processes with an extended defect ⋮ Defect-induced transitions in synchronous asymmetric exclusion processes ⋮ Connection between an exactly solvable stochastic optimal control problem and a nonlinear reaction-diffusion equation

Cites Work

• Mathematical methods for hydrodynamic limits
• A stochastic model related to the telegrapher's equation
• Propagation of chaos for particle systems associated with discrete Boltzmann equation
• A kinetic model of vehicular traffic and its associated bimodal equilibrium solutions
• ON DIFFUSION BY DISCONTINUOUS MOVEMENTS, AND ON THE TELEGRAPH EQUATION
• On kinematic waves II. A theory of traffic flow on long crowded roads
• Handbook of stochastic methods for physics, chemistry and natural sciences.
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