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Application of singular perturbation method in analyzing traffic density waves
  • 期刊名称：Journal of Shanghai University(English Edition)
  • 时间：0
  • 页码：6-11
  • 语言：中文
  • 分类：U491.112[交通运输工程—交通运输规划与管理;交通运输工程—道路与铁道工程]
  • 作者机构：[1]Faculty of Science, Ningbo University, Ningbo 315211, Zhejiang, P. R. China, [2]School of Energy and Power Engineering, Shandong University, Jinan 250061, P. R. China
  • 相关基金：Project supported by the National Basic Research Program of China （Grant No.2006CB705500）, the National Natural Science Foundation of China （Grant Nos.10532060, 10602025, 10802042）, and the Natural Science Foundation of Ningbo （Grant No.2007A610050）
  • 相关项目：城市交通流特性与车流的节能降耗研究
作者： 葛红霞|沈飞英|雷丽|
关键词： 交叉口, 交通流分析, 奇异微扰动, 车辆跟驰模型, traffic flow, singular perturbation method, car following models, Korteweg-de-Vries （KdV） equations, modified Korteweg-de-Vries （mKdV） equations
中文摘要：

汽车后面的模型是为描述交通运输流量的显微镜的模型之一。通过线性稳定性分析，中立稳定性线和临界点为汽车追随者模型和二个修改模型的不同类型被获得。单个不安方法被用来导出各种各样的非线性的波动方程，例如 Korteweg-de-Vries (KdV ) 方程和修改 Korteweg-de-Vries (mKdV ) 方程，它能描述在某些条件下面发生在交通运输流量的不同密度波浪。这些密度波浪主要被采用在拥挤的交通运输流量描绘交通阻塞的形成。一般 soliton 答案为汽车追随者模型的不同类型被给，并且结果高效地习惯于修改模型。

英文摘要：

Car following model is one of microscopic models for describing traffic flow. Through linear stability analysis, the neutral stability lines and the critical points are obtained for the different types of car following models and two modified models. The singular perturbation method has been used to derive various nonlinear wave equations, such as the Kortewegde-Vries （KdV） equation and the modified Korteweg-de-Vries （mKdV） equation, which could describe different density waves occurring in traffic flows under certain conditions. These density waves are mainly employed to depict the formation of traffic jams in the congested traffic flow. The general soliton solutions are given for the different types of car following models, and the results have been used to the modified models efficiently.

同期刊论文项目
城市交通流特性与车流的节能降耗研究
期刊论文 25 会议论文 4
城市交通系统的非线性动力学特性研究
期刊论文 145 会议论文 44 著作 2
面向智能交通系统的交通流建模与密度波分析
期刊论文 17 会议论文 6
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