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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.
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Keywords:
- cellular automaton /
- off-ramp /
- mandatory lane changing /
- variable message sign
[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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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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[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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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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