Monotone iterative simulation of the multilane traffic dispersion model

  • Cho H
  • Lo S
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Abstract

In this study, the multilane traffic flow is modeled as a nonlinear Poisson equation in a two-dimensional space. The model is derived from the interaction among vehicles and the assumption that vehicles will tend toward the equilibrium state under a given traffic condition. A monotone iterative scheme for the nonlinear model, which is a finite difference approximation of the model, is presented. The convergency is also discussed herein. At last, a numerical example is employed to explain the model. © 2002 Elsevier Science B.V. All rights reserved.

Author-supplied keywords

  • Dispersion
  • Equilibrium distribution
  • Monotone iterative method
  • Multilane traffic flow
  • Poisson equation

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Authors

  • H. J. Cho

  • Shih Ching Lo

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