双下匝道系统的交通流动态特征及其优化

江金胜; 董力耘

doi:10.7498/aps.61.214503

摘要

利用多车道元胞自动机模型研究双下匝道系统的交通流动态演化特征. 采用可变情报板来实现交通诱导, 着重分析驾驶员选择目标匝道的决策行为及其对道路通行能力的影响. 分别建立了无可变情报板的基本模型和有可变情报板的诱导模型. 通过数值模拟, 分别给出了相应的相图、道路通行能力、流量图和时空斑图, 分析了进车概率、出车比例和出车道长度对交通行为的影响. 通过对两个模型模拟结果的比较分析, 发现当出车道长度较小而进车概率、出车比例都较大时, 可变情报板的诱导信息能明显提高下游匝道的利用率, 改善道路交通流状况, 从而缓解交通拥堵.

关键词:

Abstract

In this paper, a multi-lane cellular automata model is adopted to investigate the evolution of traffic flow in a two-off-ramp system. The variable message sign (VMS) is used to realize traffic flow guidance. More attention is paid to the decision-making behaviors of the driver, i.e., choosing the target off-ramp and its influence on road capacity. The original model without VMS and the improved model with VMS are proposed respectively. Through numerical simulation, the corresponding phase diagram, the capacity, the flux of each section and typical patterns are obtained, then the effects of the injection probabilities, the fraction of leaving vehicles and the length of the exit lane on capacity are analyzed in detail. When the length of the exit lane is rather short but the entering probability and the fraction of leaving vehicles are rather large, the road capacity is increased noticeably with the help of VMS and therefore the state of traffic flow is improved. It is shown that the utilization efficiency of downstream off-ramp is enhanced and traffic jams are alleviated due to the guidance of VMS.

Keywords:

作者及机构信息

江金胜¹,
董力耘^1,2

1.
上海大学上海市应用数学和力学研究所, 上海 200072;

2.
上海市力学在能源工程中的应用重点实验室, 上海 200072

基金项目: 国家重点基础研究发展计划(批准号: 2012CB725404)、国家自然科学基金(批准号: 10972135, 11172164)、上海市教委科研创新项目(批准号: 11YZ12)和上海市高校创新团队项目资助的课题.

Authors and contacts

1.
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;

2.
Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai 200072, China

Funds: Project supported by the National Basic Research Program of China (Grant No. 2012CB725404), National Natural Science Foundation of China (Grant Nos. 10972135, 11172164), Innovation Program of Shanghai Municipal Education Commission, China (Grant No. 11YZ12) and Shanghai Program for Innovative Research Team in Universities, China.

参考文献

[1]	Nagel K, Schreckenberg M 1992 J. Phys. (France) I2 2221
[2]	Chowdhury D, Santen L, Schadschneider A 2000 Phys. Rep. 329 199
[3]	Maerivoet S, Moor B D 2005 Phys. Rep. 419 1
[4]	Peng L, Tan H L, Kong L J, Liu M R 2003 Acta Phys. Sin. 52 3007 (in Chinese) [彭麟, 谭惠丽, 孔令江, 刘慕仁 2003 52 3007]
[5]	Qian Y S, Wang H L, Wang C L 2008 Acta Phys. Sin. 57 2115 (in Chinese) [钱勇生, 汪海龙, 王春雷 2008 57 2115]
[6]	Li Q D, Dong L Y, Dai S Q 2009 Acta Phys. Sin. 58 7584 (in Chinese) [李庆定, 董力耘, 戴世强 2009 58 7584]
[7]	Mei C Q, Huang H J, Tang T Q 2009 Acta Phys. Sin. 58 3014 (in Chinese) [梅超群, 黄海军, 唐铁桥 2009 58 3014]
[8]	Jia B, Li X G, Jiang R, Gao Z Y 2009 Acta Phys. Sin. 58 6845 (in Chinese) [贾斌, 李新刚, 姜锐, 高自友 2009 58 6845]
[9]	Hua X D,Wang W, Wang H 2011 Acta Phys. Sin. 60 84502 (in Chinese) [华雪东, 王炜, 王昊 2011 60 84502]
[10]	Muñoz J C, Daganzo C F 2002 Transport. Res. A 36 483
[11]	Cassidy M J, Anani S B, Haigwood J M 2002 Transport. Res. A 36 563
[12]	Ez-Zahraouy H, Benrihane Z, Benyoussef A 2004 Int. J. Mod. Phys. B 18 2347
[13]	Jia B, Jiang R, Wu Q S 2004 Phys. Rev. E 69 056105
[14]	Li S C, Kong L J, Liu M R, Zheng R S 2009 Acta Phys. Sin. 58 2276 (in Chinese) [李盛春, 孔令江, 刘慕仁, 郑容森 2009 58 2276]
[15]	Zhao X M, Song G C, Song Y K 2011 Commun. Theor. Phys. 55 95
[16]	Jia B, Li X G, Jiang R, Gao Z Y 2010 Int. J. Mod. Phys. C 21 409
[17]	Lei L, Dong L Y, Song T, Dai S Q 2006 Acta Phys. Sin. 55 1711 (in Chinese) [雷丽, 董力耘, 宋涛, 戴世强 2006 55 1711]
[18]	Diedrich G, Santen L, Schadschneider A, Zittartz J 2000 Int. J. Mod. Phys. C 11 335
[19]	Mhirech A, Ismaili A A, Ez-Zahraouy H 2009 Can. J. Phys. 87 105
[20]	Lim K, Kim J H, Shin E, Kim D G 2011 Ksce. J. Civ. Eng. 15 385

施引文献

[1]	Nagel K, Schreckenberg M 1992 J. Phys. (France) I2 2221
[2]	Chowdhury D, Santen L, Schadschneider A 2000 Phys. Rep. 329 199
[3]	Maerivoet S, Moor B D 2005 Phys. Rep. 419 1
[4]	Peng L, Tan H L, Kong L J, Liu M R 2003 Acta Phys. Sin. 52 3007 (in Chinese) [彭麟, 谭惠丽, 孔令江, 刘慕仁 2003 52 3007]
[5]	Qian Y S, Wang H L, Wang C L 2008 Acta Phys. Sin. 57 2115 (in Chinese) [钱勇生, 汪海龙, 王春雷 2008 57 2115]
[6]	Li Q D, Dong L Y, Dai S Q 2009 Acta Phys. Sin. 58 7584 (in Chinese) [李庆定, 董力耘, 戴世强 2009 58 7584]
[7]	Mei C Q, Huang H J, Tang T Q 2009 Acta Phys. Sin. 58 3014 (in Chinese) [梅超群, 黄海军, 唐铁桥 2009 58 3014]
[8]	Jia B, Li X G, Jiang R, Gao Z Y 2009 Acta Phys. Sin. 58 6845 (in Chinese) [贾斌, 李新刚, 姜锐, 高自友 2009 58 6845]
[9]	Hua X D,Wang W, Wang H 2011 Acta Phys. Sin. 60 84502 (in Chinese) [华雪东, 王炜, 王昊 2011 60 84502]
[10]	Muñoz J C, Daganzo C F 2002 Transport. Res. A 36 483
[11]	Cassidy M J, Anani S B, Haigwood J M 2002 Transport. Res. A 36 563
[12]	Ez-Zahraouy H, Benrihane Z, Benyoussef A 2004 Int. J. Mod. Phys. B 18 2347
[13]	Jia B, Jiang R, Wu Q S 2004 Phys. Rev. E 69 056105
[14]	Li S C, Kong L J, Liu M R, Zheng R S 2009 Acta Phys. Sin. 58 2276 (in Chinese) [李盛春, 孔令江, 刘慕仁, 郑容森 2009 58 2276]
[15]	Zhao X M, Song G C, Song Y K 2011 Commun. Theor. Phys. 55 95
[16]	Jia B, Li X G, Jiang R, Gao Z Y 2010 Int. J. Mod. Phys. C 21 409
[17]	Lei L, Dong L Y, Song T, Dai S Q 2006 Acta Phys. Sin. 55 1711 (in Chinese) [雷丽, 董力耘, 宋涛, 戴世强 2006 55 1711]
[18]	Diedrich G, Santen L, Schadschneider A, Zittartz J 2000 Int. J. Mod. Phys. C 11 335
[19]	Mhirech A, Ismaili A A, Ez-Zahraouy H 2009 Can. J. Phys. 87 105
[20]	Lim K, Kim J H, Shin E, Kim D G 2011 Ksce. J. Civ. Eng. 15 385

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