不同限速区域的交通流建模

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Theoretical and Mathematical Physics Pub Date : 2024-08-26 DOI:10.1134/s0040577924080087

M. A. Pogrebnyak

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引用次数: 0

摘要

摘要本文的主要成果是一个数学模型，它描述了几辆汽车在不同限速区域内的运动动态。作为这些区域，我们可以考虑限速区、减速带或不平路面。该模型是一个具有延迟参数的微分方程系统。模型的动态特性通过数值方法进行研究。我们开发了一个计算机程序，利用该模型来描述各种道路情况下的交通流运动。模拟结果与实际交通流的观测数据相吻合。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Modeling the traffic flow in areas with different speed limits

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Modeling the traffic flow in areas with different speed limits

Abstract

The main result of this paper is a mathematical model that describes the dynamics of the motion of several cars in areas with different speed limits. As such areas, we can consider speed limit zones and speed bumps or uneven road surfaces. The model is a system of differential equations with a delayed argument. The dynamical properties of the model are studied by numerical methods. A computer program has been developed that uses the model to describe the motion of traffic flows in various road situations. The simulation results coincide with the observation data of real traffic flows.

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来源期刊

Theoretical and Mathematical Physics 物理-物理：数学物理

CiteScore

1.60

自引率

20.00%

发文量

103

审稿时长

4-8 weeks

期刊介绍： Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems. Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.