雨天高速公路车辆换道模型研究

张卫华; 颜冉; 冯忠祥; 王锟

doi:10.7498/aps.65.064501

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摘要

降雨使得路面附着系数和驾驶员视距降低, 容易造成交通事故, 影响道路通行效率. 为了研究雨天天气下车辆的换道行为, 引入反映降雨对换道行为影响的路面附着系数参数和驾驶员反应时间参数, 并进行量化分析, 由此使得安全距离随降雨强度和车辆速度的变化而变化, 在考虑前车和后车速度差对换道行为影响的基础上, 建立了雨天高速公路车辆换道模型. 仿真分析表明, 在中密度区雨天换道率与晴天相比有明显下降, 最大降幅约为25%; 且改进模型再现了自由流、自由流在无外因影响下形成动态拥堵流以及阻塞流下车辆时走时停的现象; 在中密度和高密度交通流中, 雨天更易引起交通拥堵, 其道路时空图中拥堵出现的频率和持续时间均相应增大, 且车辆以低速度行驶的时间较晴天天气下高许多.

关键词:

作者及机构信息

1.
合肥工业大学交通运输工程学院, 合肥 230009;

2.
安徽建筑大学建筑与规划学院, 合肥 230022

通信作者: 颜冉, yanranjia@163.com

基金项目: 国家自然科学基金(批准号: 51308177, 51178158, 51578207)资助的课题.

参考文献

[1]	Qiu L, Nixon W 2008 Transport. Res. Rec. 2055 139
[2]	Nagel K, Schreckenberg M 1992 J. Phys. I 2 2221
[3]	Bando M, Hasebe K, Nakayama A, Shibata A, Sugiyama Y 1995 Phys. Rev. E 51 1035
[4]	Helbing D, Tilch B 1998 Phys. Rev. E 58 133
[5]	Jiang R, Wu Q S, Zhu Z J 2001 Phys. Rev. E 64 017101
[6]	Zhang N X, Zhu H B, Lin H, Huang M Y 2015 Acta Phys. Sin. 64 024501 (in Chinese) [张柠溪, 祝会兵, 林亨, 黄梦圆 2015 物理学报 64 024501]
[7]	Chowdhury D, Wolf D E, Schreckenberg M 1997 Physica A 235 417
[8]	Wang Y M, Zhou L S, L Y B 2008 China J. Highway and Transport 21 89 (in Chinese) [王永明, 周磊山, 吕永波 2008 中国公路学报 21 89]
[9]	Hua X D, Wang W, Wang H 2011 Acta Phys. Sin. 60 084502 (in Chinese) [华雪东, 王玮, 王昊 2011 物理学报 60 084502]
[10]	Wei L Y, Wang Z L, Wu R H 2014 Acta Phys. Sin. 63 044501 (in Chinese) [魏丽英, 王志龙, 吴荣华 2014 物理学报 63 044501]
[11]	He H D, Lu W Z, Dong L Y 2011 Chin. Phys. B 20 040514
[12]	Moussa N Daoudia A K, 2003 Chin. J. Phys. 41 671
[13]	Laval J A, Daganzo C F 2006 Transport. Res. B 40 251
[14]	Li X G, Jia B, Gao Z Y, Jiang R 2006 Physica A 367 479
[15]	Lv W, Song W G, Fang Z M, Ma J 2013 Physica A 392 5143
[16]	Lv W, Song W G, Fang Z M 2011 Physica A 390 2303
[17]	Fang Y, Chen J Z, Peng Z Y 2013 Chin. Phys. B 22 108902
[18]	Hall F L, Barrow D 1988 Transport. Res. Rec. 1194 55
[19]	Ibrahim A T, Hall F L 1994 Transport. Res. Rec. 1457 184
[20]	Zhao H T, Nie C, Li J R 2015 J. Transport. Syst. Engineer. Inform. Technol. 15 87 (in Chinese) [赵韩涛, 聂涔, 李静茹 2015 交通运输系统工程与信息 15 87]
[21]	Ji T J 2004 Ph. D. Dissertation (Nanjing: Southeast University) (in Chinese) [季天剑 2004 博士学位论文 (南京: 东南大学)]
[22]	Ji T J, Huang X M, Liu Q Q 2004 J. Traffic and Transport. Engineer. 3 10 (in Chinese) [季天剑, 黄晓明, 刘清泉 2004 交通运输工程学报 3 10]
[23]	Jiang R, Guo Z Y, Li Z N 2011 J. Tongji Univ. 39 529 (in Chinese) [蒋锐, 郭忠印, 李振楠 2011同济大学学报(自然科学版) 39 529]
[24]	Wang S, Wu C, Ruan Y D, Chen Q M 2013 Electron. Measur. Technol. 36 16 (in Chinese) [王双, 吴聪, 阮雅端, 陈启美 2013 电子测量技术 36 16]
[25]	Xu R M, Huang L, Yin S C, Yao D Y, Zhang H Z, Peng L H 2011 14th International IEEE Conference on Intelligent Transportation Systems (ITSC) Washington DC, USA, October 5-7, 2011 p822

施引文献

[1]	Qiu L, Nixon W 2008 Transport. Res. Rec. 2055 139
[2]	Nagel K, Schreckenberg M 1992 J. Phys. I 2 2221
[3]	Bando M, Hasebe K, Nakayama A, Shibata A, Sugiyama Y 1995 Phys. Rev. E 51 1035
[4]	Helbing D, Tilch B 1998 Phys. Rev. E 58 133
[5]	Jiang R, Wu Q S, Zhu Z J 2001 Phys. Rev. E 64 017101
[6]	Zhang N X, Zhu H B, Lin H, Huang M Y 2015 Acta Phys. Sin. 64 024501 (in Chinese) [张柠溪, 祝会兵, 林亨, 黄梦圆 2015 物理学报 64 024501]
[7]	Chowdhury D, Wolf D E, Schreckenberg M 1997 Physica A 235 417
[8]	Wang Y M, Zhou L S, L Y B 2008 China J. Highway and Transport 21 89 (in Chinese) [王永明, 周磊山, 吕永波 2008 中国公路学报 21 89]
[9]	Hua X D, Wang W, Wang H 2011 Acta Phys. Sin. 60 084502 (in Chinese) [华雪东, 王玮, 王昊 2011 物理学报 60 084502]
[10]	Wei L Y, Wang Z L, Wu R H 2014 Acta Phys. Sin. 63 044501 (in Chinese) [魏丽英, 王志龙, 吴荣华 2014 物理学报 63 044501]
[11]	He H D, Lu W Z, Dong L Y 2011 Chin. Phys. B 20 040514
[12]	Moussa N Daoudia A K, 2003 Chin. J. Phys. 41 671
[13]	Laval J A, Daganzo C F 2006 Transport. Res. B 40 251
[14]	Li X G, Jia B, Gao Z Y, Jiang R 2006 Physica A 367 479
[15]	Lv W, Song W G, Fang Z M, Ma J 2013 Physica A 392 5143
[16]	Lv W, Song W G, Fang Z M 2011 Physica A 390 2303
[17]	Fang Y, Chen J Z, Peng Z Y 2013 Chin. Phys. B 22 108902
[18]	Hall F L, Barrow D 1988 Transport. Res. Rec. 1194 55
[19]	Ibrahim A T, Hall F L 1994 Transport. Res. Rec. 1457 184
[20]	Zhao H T, Nie C, Li J R 2015 J. Transport. Syst. Engineer. Inform. Technol. 15 87 (in Chinese) [赵韩涛, 聂涔, 李静茹 2015 交通运输系统工程与信息 15 87]
[21]	Ji T J 2004 Ph. D. Dissertation (Nanjing: Southeast University) (in Chinese) [季天剑 2004 博士学位论文 (南京: 东南大学)]
[22]	Ji T J, Huang X M, Liu Q Q 2004 J. Traffic and Transport. Engineer. 3 10 (in Chinese) [季天剑, 黄晓明, 刘清泉 2004 交通运输工程学报 3 10]
[23]	Jiang R, Guo Z Y, Li Z N 2011 J. Tongji Univ. 39 529 (in Chinese) [蒋锐, 郭忠印, 李振楠 2011同济大学学报(自然科学版) 39 529]
[24]	Wang S, Wu C, Ruan Y D, Chen Q M 2013 Electron. Measur. Technol. 36 16 (in Chinese) [王双, 吴聪, 阮雅端, 陈启美 2013 电子测量技术 36 16]
[25]	Xu R M, Huang L, Yin S C, Yao D Y, Zhang H Z, Peng L H 2011 14th International IEEE Conference on Intelligent Transportation Systems (ITSC) Washington DC, USA, October 5-7, 2011 p822

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雨天高速公路车辆换道模型研究

1. 合肥工业大学交通运输工程学院, 合肥 230009;

2. 安徽建筑大学建筑与规划学院, 合肥 230022

通信作者: 颜冉, yanranjia@163.com

基金项目:

国家自然科学基金(批准号: 51308177, 51178158, 51578207)资助的课题.

收稿日期: 2015-08-18

修回日期: 2015-12-01

刊出日期: 2016-03-05

摘要: 降雨使得路面附着系数和驾驶员视距降低, 容易造成交通事故, 影响道路通行效率. 为了研究雨天天气下车辆的换道行为, 引入反映降雨对换道行为影响的路面附着系数参数和驾驶员反应时间参数, 并进行量化分析, 由此使得安全距离随降雨强度和车辆速度的变化而变化, 在考虑前车和后车速度差对换道行为影响的基础上, 建立了雨天高速公路车辆换道模型. 仿真分析表明, 在中密度区雨天换道率与晴天相比有明显下降, 最大降幅约为25%; 且改进模型再现了自由流、自由流在无外因影响下形成动态拥堵流以及阻塞流下车辆时走时停的现象; 在中密度和高密度交通流中, 雨天更易引起交通拥堵, 其道路时空图中拥堵出现的频率和持续时间均相应增大, 且车辆以低速度行驶的时间较晴天天气下高许多.

关键词:

Study of highway lane-changing model under rain weather

1.
School of Transportation Engineering, Hefei University of Technology, Hefei 230009, China;

2.
School of Architecture and Planning, Anhui Jianzhu University, Hefei 230022, China

Fund Project:

Project supported by the National Natural Science Foundation of China (Grant Nos. 51308177, 51178158, 51578207).

Received Date: 18 August 2015

Accepted Date: 01 December 2015

Published Online: 05 March 2016

Abstract: Rainfall decreases road adhesion coefficient and sight distance of drivers, these can easily lead to traffic accidents which affect the road traffic efficiency. To study the vehicle lane-changing behavior under rainfall conditions, the adhesion coefficient parameter and drivers' reaction delay time parameter are introduced into the safety distance model. Based on the relationship between rainfall intensity and the water film thickness as well as the relationship among the road adhesion coefficient, water film thickness, and vehicle speed, the influence of rainfall on the road adhesion coefficient is quantified. And based on the relationship between visibility distance under rainfall condition and safe distance upon stopping sight distance, the influence of rainfall on drivers' reaction delay time is quantified. Therefore, the safety distance is different under different rainfall conditions and vehicle speed, it no longer is a fixed value like in other lane-changing models by quantifying the two parameters. The improved lane-changing model is established by considering the influence of the speed difference on vehicle lane-changing behavior; the speed difference is not only existing between the research vehicle and the adjacent lane vehicle ahead, but also between the research vehicle and the adjacent lane after the car. And the safety distance model including the two parameters is embedded in the improved lane-changing model by the lane-changing rules. For the three-lane traffic, the lane-changing rules which take into consideration the safety distance and the speed difference are established respectively for each lane, and the simulation analysis is conducted using cellular automata based on the above mentioned rules. Simulation results show that in the medium density the lane-changing rates in the rain condition are significantly lower compared with sunny days, the biggest drop is about 25%. Through comparison and analysis of the space-time diagrams and the speed-time curve of one vehicle at different traffic density on rain days and sunny days, the improved model redisplays the phenomenon of free flow, free flow into dynamic blocking flow in the absence of external cause, and the phenomenon of vehicles stopping and going under blocking flow. In the medium and high densities, the rain causes more traffic congestion, and the frequency and duration of traffic congestion in space-time diagram increase accordingly; the low speed and the speed of zero state increase gradually in the speed-time curve.

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