Double randomization method for estimating the moments of solution to vehicular traffic problems with random parameters

Aleksandr Burmistrov, Mariya Korotchenko

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we consider a Boltzmann type equation arising in the kinetic vehicle traffic flow model with an acceleration variable. The latter model is improved within the framework of the previously developed approach by introducing a set of random parameters. This enables us to take into account different types of interacting vehicles, as well as various parameters describing skills and behavior of particular drivers. We develop new Monte Carlo algorithms to evaluate probabilistic moments of linear functionals of the solution to the considered equation.

Original languageEnglish
Pages (from-to)143-152
Number of pages10
JournalRussian Journal of Numerical Analysis and Mathematical Modelling
Volume35
Issue number3
DOIs
Publication statusPublished - 1 Jun 2020

Keywords

  • kinetic model
  • Markov chain modelling
  • Monte Carlo method
  • multi-particle system evolution
  • vehicular traffic flow (VTF)
  • ACCELERATION
  • SPEED
  • MODEL
  • ALGORITHMS
  • FLOW
  • Marlcov chain modelling

OECD FOS+WOS

  • 1.01 MATHEMATICS

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