[1] Wang Dianhai, Liang Chunyan, Cheng Yao, Yao Ronghan, et al. Study on compressibility of traffic flow [J]. Journal of Southeast University (English Edition), 2009, 25 (2): 262-266. [doi:10.3969/j.issn.1003-7985.2009.02.025]

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Study on compressibility of traffic flow()

交通流压缩特性研究

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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

25

Issue:

2009 2

Page:

262-266

Research Field:

Traffic and Transportation Engineering

Publishing date:

2009-06-30

Info

Title:

Study on compressibility of traffic flow

交通流压缩特性研究

Author(s):

Wang Dianhai¹, Liang Chunyan², Cheng Yao¹, Yao Ronghan³

¹ College of Transportation, Jilin University, Changchun 130025, China
²School of Science and Engineering on Communications, Jilin Architecture and Civil Engineering Institute, Changchun 130021, China
³ Center for Transportation Research, Dalian University of Technology, Dalian 116024, China

王殿海¹, 梁春岩², 程瑶¹, 姚荣涵³

¹吉林大学交通学院, 长春 130025; ²吉林建筑工程学院交通科学与工程学院, 长春 130021; ³大连理工大学国际航运中心研究院, 大连 116024

Keywords:

compressibility of traffic flow;  Mach number;  compression factor;  stop wave

交通流压缩性;  Mach数;  压缩系数;  停车波

PACS:

U491

DOI:

10.3969/j.issn.1003-7985.2009.02.025

Abstract:

In order to describe the compressibility of traffic flows and determine the compression factors, the Mach number of gas dynamics is introduced, and the concept and the formula of the compression factor are obtained.According to the concept of the compression factor and its differential equation, a stop-wave model is built.The theoretical value and the observed one are obtained by the survey data in Changchun city.The relative error between the two values is 20.3%.The accuracy is improved 39% compared with the result from the traditional stop-wave model.The results show that the traffic flow is compressible, and the methods of research on gas compressibility is also applicable to the traffic flow.The stop-wave model obtained by the compression factor can better describe the phenomenon of the stop wave at a signalized intersection when compared with the traditional stop-wave model.

为了描述交通流的压缩性并确定交通流压缩系数, 将气体动力学中的Mach数引入交通流研究中, 得到交通流压缩系数的定义及计算公式.根据交通流压缩系数的定义及其微分方程, 建立了停车波模型.根据长春市实际调查数据, 对模型进行计算及验证, 得到停车波波速的理论值, 该值与观测值之间的相对误差为20.3%, 与传统停车波模型的计算结果相比, 精度提高了39%.结果表明:交通流具有可压缩性, 研究气体流压缩性的方法同样适用于交通流;与传统停车波模型相比, 由交通流压缩系数计算公式得到的停车波模型能更好地描述信号交叉口的停车波现象.

References:

[1] Lighthill M J, Whitham G B.A theory of traffic flow on long crowded roads [J].Proceedings of the Royal Society of London, Series A:Mathematical and Physical Sciences, 1955, 1178(229):317-345.
[2] Richards P I.Shock waves on the highway [J].Operation Research, 1956, 4(1):42-51.
[3] Lee J, Kuwahara M, Ukkusuri S.Predictive dynamic assignment with physical queues based on kinematic wave theory [CD].The 2004 Annual Meeting of the Transportation Research Board.Washington, DC, 2004.
[4] Carey J, Semmens J.Measurement tools for assessing motor vehicle division port-of-entry performance [CD].The 2005 Annual Meeting of the Transportation Research Board. Washington, DC, 2005.
[5] Wu Zheng.A fluid dynamics model for the low speed traffic systems[J].Acta Mechanica Sinica, 1994, 26(2):149-157.
[6] Tang Xiaowu, Zhang Xunsheng, Lu Kunquan. Traffic flow and granular flow[M].Hangzhou:ZheJiang University Press, 2004.(in Chinese)
[7] Xue Yu, Dong Liyun, Dai Shiqiang.An improved one-dimensional cellular automaton model of traffic flow and the effect of deceleration probability [J].Acta Physica Sinica, 2001, 50(3):445-449.(in Chinese)
[8] Lei Li, Xue Yu, Dai Shiqiang.One-dimensional sensitive driving cellular automaton model for traffic flow[J].Acta Physica Sinica, 2003, 52(9):2121-2126.(in Chinese)
[9] Kuang Hua, Kong Lingjiang, Liu Muren.The study of a cellular automaton traffic flow model with mixed different-maximum-speed vehicles on signal lane[J].Acta Physica Sinica, 2004, 53(9):2894-2898.(in Chinese)
[10] Zhang Zhaoshun, Cui Guixiang.Hydrodynamics[M].Beijing:Tsinghua University Press, 2005.(in Chinese)
[11] Jing Chunguang.Research on the theory and application of vehicle-bicycle conflict at intersection[D].Changchun:Transportation College of Jinlin University, 2005.(in Chinese)

Memo

Memo:

Biography: Wang Dianhai(1962—), male, doctor, professor, wangdianhai@sohu.com.
Foundation item: The National Basic Research Program of China(973 Program)(No.2006CB705505).
Citation: Wang Dianhai, Liang Chunyan, Cheng Yao, et al.Study on compressibility of traffic flow[J].Journal of Southeast University(English Edition), 2009, 25(2):262-266.

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