交通流瓶颈效应的运动学描述

张鹏; 吴冬艳; 黄仕进; 陶亦舟

交通流瓶颈效应的运动学描述

上海大学上海市应用数学和力学研究所,上海 200072;2.香港大学土木工程系,香港

基金项目: 国家自然科学基金资助项目(70629101;10771134);国家重点基础研究发展计划资助项目(2006CB705500);香港研究资助局项目(HKU7183/08E)

详细信息

作者简介:
张鹏(1963- ),男,云南个旧人,教授,博士(联系人.E-mail:Pzhang@mail.shu.edu.cn).

中图分类号: TB126
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- 文章访问数: 2802
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- 被引次数: 0
出版历程
- 收稿日期: 2008-10-14
- 修回日期: 2009-02-13
- 刊出日期: 2009-04-15

Kinetic Description of Bottleneck Effects in Traffic Flow

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China;

摘要

摘要: 采用一个推广的LWR模型研究交通瓶颈效应．通过求解流通量间断的Riemann问题，得到关于模型解结构的解析结果，由此导出了描述在瓶颈上游车流的排队现象及其队列长度和高度（密度）的一个典型解，并能够构造模型方程的一种δ-映射算法．更有意义的是，表明了通过采用三角形基本图，这一运动学模型能够描述时走时停波．通过数值模拟，验证了数值结果与解析结果的一致性，从而支撑了文章的理论结果．
- LWR模型 /
- 间断流通量 /
- δ-映射算法 /
- 时走时停波
Abstract: The effects of traffic bottlenecks using an extended LWR model are dealt with.The solution structure was analytically indicated by study of the Riemann problem,which is characterized by a discontinuo us flux.This leads to a typical solution that describes a queueupstream of the bottleneck and its width and height,and informs the design of a D-mapping algorithm.More significantly,it was found that the kinetic model is able to reproduce stop-and-go waves for a triangular fundamental diagram.Some simulation examples were given to support these conclusions,and are shown to be in agreement with the analytical solutions.
- LWR model /
- discontinuous flux /
- D-mapping algorithm /
- stop-and-gowaves

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参考文献(23)

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