具有非局部前后视动力学的交通流模型

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of the Korean Mathematical Society Pub Date : 2020-01-01 DOI:10.4134/JKMS.J190488

Yongki Lee

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引用次数: 1

摘要

本文以[25]中引入的具有Arrhenius超前松弛动力学的交通流模型为动力，通过在流量中插入超前松弛后强化动力学，提出了一种超前松弛后强化交通流模型。确定了模型中具有各种相互作用势的有限时间激波形成条件。为了验证修正模型的性能，进行了数值实验。观察到，与其他已知的宏观交通流模型相比，加入前视松弛后视强化的模型具有增强的色散和平滑效果

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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TRAFFIC FLOW MODELS WITH NONLOCAL LOOKING AHEAD-BEHIND DYNAMICS

Motivated by the traffic flow model with Arrhenius lookahead relaxation dynamics introduced in [25], this paper proposes a traffic flow model with look ahead relaxation-behind intensification by inserting look behind intensification dynamics to the flux. Finite time shock formation conditions in the proposed model with various types of interaction potentials are identified. Several numerical experiments are performed in order to demonstrate the performance of the modified model. It is observed that, comparing to other well-known macroscopic traffic flow models, the model equipped with look ahead relaxation-behind intensification has both enhanced dispersive and smoothing effects

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来源期刊

Journal of the Korean Mathematical Society 数学-数学

CiteScore

1.20

自引率

16.70%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).