道路弯道对交通流影响的研究

梁玉娟; 薛郁

doi:10.7498/aps.59.5325

摘要

在经典NaSch模型的基础上,考虑行驶弯道的曲率半径、弧长以及路面的摩擦系数等对车辆运行的影响,提出一种改进的适应特殊路况的单车道元胞自动机模型.按此模型,通过计算机数值模拟,研究了具有不同曲率半径、不同弧长和不同摩擦系数的弯道对交通流的影响.模拟结果显示,改进后的模型能准确反映特殊路况对行驶车辆的影响,同时再现了与实际交通相一致的时停时走交通波等复杂的非线性现象,根据所反映出的实际交通现象,分析得出了增大弯道曲率半径和弯道处的摩擦系数,并尽量地减小弯道弧长,可以减少弯道处交通事故的发生,避免交通拥堵的发生,提高道路通行能力.

关键词:

Abstract

Base on the NaSch model, an improved single-lane cellular automaton traffic flow model for especial road is proposed via considering effects of curvature radii, arc length and friction factor on the vehicle movement. By numerical simulation for the traffic flow with different curvature radii, arc length and friction factor, it is found that our improved model can reflect accurately the influence of special sections of a road on the running vehicles, meanwhile visualize the complex nonlinear phenomenon traffic waves of alternate running and stopping as in actual traffics. The reflecting phenomenon in actual traffics indicates that traffic accidents and congestion can be avoided by increase the curvature radii, friction factor of road turning, the capacity of road can be enhanced also.

Keywords:

作者及机构信息

梁玉娟²,
薛郁¹

(1)广西大学物理科学与工程技术学院,南宁 530004; (2)广西河池学院物理与电子工程系,宜州 546300

基金项目: 国家自然科学基金(批准号:10662002,10865001),国家重点基础研究发展计划(批准号:2006CB705500),广西研究生创新计划项目(批准号:105930903077)资助的课题.

Authors and contacts

Xue Yu²,
Liang Yu-Juan¹

(1)Department of Physics and Electronics Engineering,Hechi University,Yizhou 546300,China; (2)Institute of Physical Science and Engineering,Guangxi University,Nanning 530004,China

参考文献

[1]	Chen X Y 2005 An Tutorial on University Physics (Volume 1) (Beijing: Tsinghua University Press) p17—18 (in Chinese) [陈信义 2005 大学物理教程(上册)(北京:清华大学出版社)第17—18页]
[2]	Nagel K,Schreckenberg M 1992 J. Phys. I (France) 2 2221
[3]	Biham O, Middleton A, Levine D 1992 Phys. Rev. A 46 R6124
[4]	Barlovic R, Santen L, Schadschneider A, Schreckenberg M 1998 Eur. Phys. J. B 5 793
[5]	Chowdhury D, Santer L, Schadschneider A 2000 Phys. Rep. 329 199
[6]	Lei L, Xue Y, Dai S Q 2003 Acta Phys. Sin. 52 2121 (in Chinese) [雷丽、薛郁、戴世强 2003 物理学报 52 2121]
[7]	Xiao R J, Kong L J, Liu M R 2007 Acta Phys. Sin. 56 740 (in Chinese) [肖瑞杰、孔令江、刘慕仁 2007 物理学报 56 740]
[8]	Kang R, Peng L J,Yang K 2009 Acta Phys. Sin. 58 4514 (in Chinese) [康瑞、彭莉娟、杨凯 2009 物理学报 58 4514]
[9]	Xue Y,Dong L Y,Dai S Q 2001 Acta Phys. Sin. 50 445 (in Chinese) [薛郁、董力耘、戴世强 2001 物理学报 50 445]
[10]	Zheng M L, Chen S F, Wang X C, Wang B G, Feng Z A, Gao J L 2005 Journal of Changan University (Natural Science Edition) 25 9 (in Chinese)[郑木莲、陈拴发、王选仓、王秉纲、冯治安、高建立 2005 长安大学学报(自然科学版) 25 9]
[11]	Pan J X, Xue Y, Liang Y J, Tang T Q 2009 Chin. Phys. B 18 4169

施引文献

[1]	Chen X Y 2005 An Tutorial on University Physics (Volume 1) (Beijing: Tsinghua University Press) p17—18 (in Chinese) [陈信义 2005 大学物理教程(上册)(北京:清华大学出版社)第17—18页]
[2]	Nagel K,Schreckenberg M 1992 J. Phys. I (France) 2 2221
[3]	Biham O, Middleton A, Levine D 1992 Phys. Rev. A 46 R6124
[4]	Barlovic R, Santen L, Schadschneider A, Schreckenberg M 1998 Eur. Phys. J. B 5 793
[5]	Chowdhury D, Santer L, Schadschneider A 2000 Phys. Rep. 329 199
[6]	Lei L, Xue Y, Dai S Q 2003 Acta Phys. Sin. 52 2121 (in Chinese) [雷丽、薛郁、戴世强 2003 物理学报 52 2121]
[7]	Xiao R J, Kong L J, Liu M R 2007 Acta Phys. Sin. 56 740 (in Chinese) [肖瑞杰、孔令江、刘慕仁 2007 物理学报 56 740]
[8]	Kang R, Peng L J,Yang K 2009 Acta Phys. Sin. 58 4514 (in Chinese) [康瑞、彭莉娟、杨凯 2009 物理学报 58 4514]
[9]	Xue Y,Dong L Y,Dai S Q 2001 Acta Phys. Sin. 50 445 (in Chinese) [薛郁、董力耘、戴世强 2001 物理学报 50 445]
[10]	Zheng M L, Chen S F, Wang X C, Wang B G, Feng Z A, Gao J L 2005 Journal of Changan University (Natural Science Edition) 25 9 (in Chinese)[郑木莲、陈拴发、王选仓、王秉纲、冯治安、高建立 2005 长安大学学报(自然科学版) 25 9]
[11]	Pan J X, Xue Y, Liang Y J, Tang T Q 2009 Chin. Phys. B 18 4169

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