华南理工大学学报(自然科学版) ›› 2013, Vol. 41 ›› Issue (4): 71-76.doi: 10.3969/j.issn.1000-565X.2013.04.012

• 交通与运输工程 • 上一篇    下一篇

基于速度截断对数正态分布的车队流量离散模型

巫威眺 沈旅欧 靳文舟   

  1. 华南理工大学 土木与交通学院,广东 广州 510640
  • 收稿日期:2012-09-18 修回日期:2012-12-04 出版日期:2013-04-25 发布日期:2013-03-01
  • 通信作者: 沈旅欧(1978-),男,博士,讲师,主要从事交通信息工程及控制研究. E-mail:ctlshen@scut.edu.cn
  • 作者简介:巫威眺(1987-),男,博士生,主要从事交通信息工程及控制研究.E-mail:wu.weitiao@mail. scut.edu.cn
  • 基金资助:

    国家自然科学基金资助项目( 61174188)

Dispersion Model of Platoon Density Based on Truncated Lognormal Distribution of Speed

Wu Wei-tiao Shen Lü-ou Jin Wen-zhou   

  1. School of Civil Engineering and Transportation,South China University of Technology,Guangzhou 510640,Guangdong,China
  • Received:2012-09-18 Revised:2012-12-04 Online:2013-04-25 Published:2013-03-01
  • Contact: 沈旅欧(1978-),男,博士,讲师,主要从事交通信息工程及控制研究. E-mail:ctlshen@scut.edu.cn
  • About author:巫威眺(1987-),男,博士生,主要从事交通信息工程及控制研究.E-mail:wu.weitiao@mail. scut.edu.cn
  • Supported by:

    国家自然科学基金资助项目( 61174188)

摘要: 为克服Pacey 车队离散模型中车速为服从由负无穷大到正无穷大上的正态分布这一假设而与实际车速分布情况不符的问题,基于实地收集数据,假设车速服从最小速度和自由流速度之间的截断对数正态分布,建立了更符合实际的车队流量离散模型,利用分段函数构造了车队到达下游交叉口的流量分布函数,探讨其与上游断面车队离去流量分布之间的关系.以相邻交叉口信号协调控制为例,结合实测数据探讨了车队流量分布模式,并对比分析了文中模型和Robertson 模型的差异,验证了文中模型的有效性.

关键词: 交通工程, 交通流, 车队, 离散模型, 截断对数正态分布, 信号协调控制

Abstract:

Pacey's platoon dispersion model is based on the assumption that the speed of vehicles follows the normaldistribution spreading from the minus infinity to the positive infinity.However,this assumption cannot properly reflectthe actual traffic situation.In order to solve this problem,based on the field data,a more practical platoondispersion model is constructed under the assumption that the speed follows the truncated lognormal distribution rangingfrom the minimum speed to the free flow speed.Then,a piecewise function is developed to describe the platoondispersion as it moves to the downstream intersection and to reveal the relationship between the flow distributionmoving to the downstream intersection and that leaving the upstream intersection. Finally,by taking the signalcoordination control of an adjacent intersection as a case,the distribution mode of platoon flow is discussed accordingto the measured data,and the validity of the proposed model is verified by a comparison between the proposedmodel and the Robertson model.

Key words: traffic engineering, traffic flow, platoon, dispersion model, truncated lognormal distribution, signal coordination control

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