Payne-Whitham型宏观交通流模型波动特性

李莉;吴恒莱;施鹏飞

系统科学与数学 ›› 2007, Vol. 27 ›› Issue (6) : 915-922.

PDF(480 KB)
中国科学院数学与系统科学研究院期刊网
PDF(480 KB)
系统科学与数学 ›› 2007, Vol. 27 ›› Issue (6) : 915-922. DOI: 10.12341/jssms10028
论文

Payne-Whitham型宏观交通流模型波动特性

    李莉(1),吴恒莱(2),施鹏飞(3)
作者信息 +

Wave Propagation of the Payne-Whitham-Type Macroscopic Traffic Flow Models

    Li Li(1),Wu Henglai(2),Shi Pengfei(3)
Author information +
文章历史 +

摘要

宏观交通流模型将交通流比拟成流体流,通过整体变量如交通流量、平均车速以及交通密度来研究其整体性质,得到了越来越多的肯定.文章采用波前展开的方法,研究Payne-Whitham型宏观交通流模型描述扰动沿交通流波动的特性,同时给出了相应的稳定性条件.最后利用Pade´逼近法进行数值仿真,得到的结果与理论分析相一致.

Abstract

In macroscopic traffic flow models, the traffic flow is treated as the fluid flow and the collective variables-flow rate, traffic density and traffic speed are used to describe it. In this paper, the Payne-Whitham-type macroscopic model is discussed for the properties of describing the propagation of perturbations along the equilibrium traffic flow through the wavefront expansion techniques.
Furthermore, the traffic flow stability criterions are derived. Numerical simulations based on a Pade´ approximation of this expansion are done in the end of this paper and results show that propagation of perturbations on traffic flow speed conforms to the theoretical analysis.

关键词

宏观交通流模型 / 波前展开 / 稳定条件.

Key words

Macroscopic traffic flow models / wavefront expansion / stabilities.

引用本文

EndNote

Ris (Procite)

Bibtex

导出引用
李莉 , 吴恒莱 , 施鹏飞. Payne-Whitham型宏观交通流模型波动特性. 系统科学与数学, 2007, 27(6): 915-922. https://doi.org/10.12341/jssms10028
Li Li , Wu Henglai , Shi Pengfei. Wave Propagation of the Payne-Whitham-Type Macroscopic Traffic Flow Models. Journal of Systems Science and Mathematical Sciences, 2007, 27(6): 915-922 https://doi.org/10.12341/jssms10028
中图分类号： 90B20   
PDF(480 KB)

588

Accesses

0

Citation

Detail
段落导航
相关文章

/

〈 〉