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交通流瓶颈效应的运动学描述

张鹏 吴冬艳 黄仕进 陶亦舟

张鹏, 吴冬艳, 黄仕进, 陶亦舟. 交通流瓶颈效应的运动学描述[J]. 应用数学和力学, 2009, 30(4): 399-408.
引用本文: 张鹏, 吴冬艳, 黄仕进, 陶亦舟. 交通流瓶颈效应的运动学描述[J]. 应用数学和力学, 2009, 30(4): 399-408.
ZHANG Peng, WU Dong-yan, S. C. Wong, TAO Yi-zhou. Kinetic Description of Bottleneck Effects in Traffic Flow[J]. Applied Mathematics and Mechanics, 2009, 30(4): 399-408.
Citation: ZHANG Peng, WU Dong-yan, S. C. Wong, TAO Yi-zhou. Kinetic Description of Bottleneck Effects in Traffic Flow[J]. Applied Mathematics and Mechanics, 2009, 30(4): 399-408.

交通流瓶颈效应的运动学描述

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

Kinetic Description of Bottleneck Effects in Traffic Flow

  • 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.
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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

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