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Kinetic Derivation for a Traffic Flow Model

In: Traffic and Granular Flow ’07

Author

Listed:
  • Alma R. Méndez

    (Universidad Autónoma Metropolitana, Department of Physics)

  • Rosa M. Velasco

    (Universidad Autónoma Metropolitana, Department of Physics)

Abstract

Summary A macroscopic traffic model for aggressive drivers is developed from a kinetic equation by means of a maximization procedure and Grad’s method. The macroscopic equations thus obtained contain a kind a of viscosity effect as well as density gradients. An stability analysis is developed and stable regions are observed. The simulation results are shown for one initial condition and they are in general agreement with traffic flow characteristics.

Suggested Citation

  • Alma R. Méndez & Rosa M. Velasco, 2009. "Kinetic Derivation for a Traffic Flow Model," Springer Books, in: Cécile Appert-Rolland & François Chevoir & Philippe Gondret & Sylvain Lassarre & Jean-Patrick Lebacq (ed.), Traffic and Granular Flow ’07, pages 223-231, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-77074-9_20
    DOI: 10.1007/978-3-540-77074-9_20
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