基于线性和非线性稳定性的估计车头时距对坡度公路的影响

IF 0.5 4区物理与天体物理 Q4 PHYSICS, MULTIDISCIPLINARY

Acta Physica Polonica A Pub Date : 2023-07-01 DOI:10.12693/aphyspola.144.15

S. Jin, Z.C. Liu

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引用次数: 0

摘要

提出了一种同时考虑梯度和车头距的扩展车辆跟随模型。运用线性稳定性理论和非线性约化摄动方法分析了这些因素对交通流稳定性的影响。数值模拟结果表明，修正Korteweg-de Vries方程的扭结-反扭结解可以描述交通密度波在临界点附近的传播特性。此外，考虑车头时距信息可以增强斜坡道路和平坦道路上的交通流稳定性，表明车头时距信息在缓解拥堵方面具有重要作用。

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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The Effect of Estimated Headway on Gradient Highway by Means of Linear and Nonlinear Stability

An extended car-following model is presented in this paper, which considers both gradient and estimated headway. The study analyzes the impact of these factors on traﬃc ﬂow stability using linear stability theory and the nonlinear reductive perturbation method. Numerical simulation reveals that the kink– antikink solution of the modiﬁed Korteweg–de Vries equation can describe the propagating behavior of traﬃc density waves near critical points. Furthermore, considering estimated headway information enhances traﬃc ﬂow stability on both slope roads and ﬂat roads, indicating its crucial role in alleviating congestion.

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来源期刊

Acta Physica Polonica A 物理-物理：综合

CiteScore

1.50

自引率

0.00%

发文量

141

审稿时长

6 months

期刊介绍： Contributions which report original research results and reviews in the fields of General Physics, Atomic and Molecular Physics, Optics and Quantum Optics, Quantum Information, Biophysics, Condensed Matter, and Applied Physics are welcomed.