Application of statistical methods for the study of kinetic model of traffic flow with separated accelerations
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Abstract
The problem of numerical estimation of the functionals of the solutions to a Boltzmann type nonlinear equation in the kinetic model of a vehicle traffic flow with separated acceleration is considered. The authors construct a second-kind integral equation for the original probabilistic model of a vehicle traffic flow, which is related to a linear N-particle model of the vehicle system evolution. Weighted Monte Carlo methods are proposed for the estimation of the functionals of the solution to the obtained equation. The practical suitability of this approach to the solution of traffic problems is demonstrated by numerical experiments. It should be noted that, in contrast to the previous papers, the authors do not use an artificial time step not included in the original traffic flow model.
© de Gruyter 2011
Articles in the same Issue
- The study and numerical solution of the inverse problem of heat flows in the ocean dynamics model based on ARGO buoys data
- Statistical simulation of an exponentially correlated many-dimensional random field
- Application of statistical methods for the study of kinetic model of traffic flow with separated accelerations
- Fast calculation of signal delay in RC-circuits based on Laguerre functions
- QTT approximation of elliptic solution operators in higher dimensions
- Probabilistic-algebraic algorithms of Monte Carlo methods
Articles in the same Issue
- The study and numerical solution of the inverse problem of heat flows in the ocean dynamics model based on ARGO buoys data
- Statistical simulation of an exponentially correlated many-dimensional random field
- Application of statistical methods for the study of kinetic model of traffic flow with separated accelerations
- Fast calculation of signal delay in RC-circuits based on Laguerre functions
- QTT approximation of elliptic solution operators in higher dimensions
- Probabilistic-algebraic algorithms of Monte Carlo methods
