Estimation of Parameters in a Traffic Flow Model

Q3 Mathematics

Mathematical Models and Computer Simulations Pub Date : 2024-06-25 DOI:10.1134/s207004822470008x

M. A. Pogrebnyak

引用次数: 0

Abstract

This paper studies the estimation of parameters estimation in a traffic flow model. The model is represented by a system of differential equations with a time delay. The main result of this paper is the calculation of the range of values for the parameters describing the intensity of acceleration and braking, as well as a coefficient that describes how smoothly the pursuing vehicle adjusts its speed to the one in front. The parameters of the model are estimated with analytical calculations and numerical experiments. A special computer program is developed for the numerical experiment.

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交通流模型参数估计

摘要本文研究了交通流模型中的参数估计。该模型由带有时间延迟的微分方程系统表示。本文的主要成果是计算了描述加速和制动强度的参数的取值范围，以及描述追尾车辆根据前方车辆调整速度的平稳程度的系数。该模型的参数是通过分析计算和数值实验估算出来的。为数值实验开发了专门的计算机程序。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical Models and Computer Simulations Mathematics-Computational Mathematics

CiteScore

1.20

自引率

0.00%

发文量

期刊介绍： Mathematical Models and Computer Simulations is a journal that publishes high-quality and original articles at the forefront of development of mathematical models, numerical methods, computer-assisted studies in science and engineering with the potential for impact across the sciences, and construction of massively parallel codes for supercomputers. The problem-oriented papers are devoted to various problems including industrial mathematics, numerical simulation in multiscale and multiphysics, materials science, chemistry, economics, social, and life sciences.