Mesoscopic derivation of a fundamental diagram of one-lane traffic

  • Hongler M
  • Filliger R
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Abstract

We derive from a solvable, discrete velocity model of a nonlinear Boltzmann equation the functional relations between the vehicular density ρ(x, t) and the flux J (x, t) which occurs in a popular traffic model first proposed by Greenshields. © 2002 Elsevier Science B,V. All rights reserved.

Author-supplied keywords

  • Burgers equation
  • Fluid-dynamical theories of vehicular traffic
  • Nonlinear Boltzmann equation

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Authors

  • Max Olivier Hongler

  • Roger Filliger

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