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

Aleksandr Burmistrov; Mariya Korotchenko

doi:10.1515/rnam-2020-0011

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

Aleksandr Burmistrov, Mariya Korotchenko

Computational Mathematics Section

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	143-152
Number of pages	10
Journal	Russian Journal of Numerical Analysis and Mathematical Modelling
Volume	35
Issue number	3
DOIs	https://doi.org/10.1515/rnam-2020-0011
Publication status	Published - 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

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10.1515/rnam-2020-0011

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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. ",

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",

author = "Aleksandr Burmistrov and Mariya Korotchenko",

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KW - kinetic model

KW - Markov chain modelling

KW - Monte Carlo method

KW - multi-particle system evolution

KW - vehicular traffic flow (VTF)

KW - ACCELERATION

KW - SPEED

KW - MODEL

KW - ALGORITHMS

KW - FLOW

KW - Marlcov chain modelling

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