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U-turn movement is a common form of traffic organization in urban streets. A traffic flow model for U-turn movement based on the NaSch cellular automaton model is proposed to simulate and analyze the dynamics of U-turn movement. The results indicated that the U-turn movement has significant effect on the traffic flow, and it is a typical bottleneck. The U-turn movement can cause phase transition at small probability of vehicle generation and the critical flow also decreases obviously. The system with two U-turn movement is different from the system with one U-turn movement in traffic features such as phase transition and critical flux. The one U-turn system has a good performance. It is suggested that the system with a couple of U-turns may help mitigate the negative effect of U-turn movement in traffic planning and management.
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Keywords:
- traffic flow /
- cellular automaton /
- U-turn movement /
- phase transition
[1] Chowdhury D, Santen L, Schadschneider A 2000 Phys. Rep. 329 199
[2] Helbing D 2001 Rev. Mod. Phys. 73 1067
[3] Nagel K, Schreckenberg M 1992 J. Phys. I 2 2221 (in France)
[4] 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 3014]
[5] Zheng Z Z, Wang A L 2009 Chin. Phys. B 18 489
[6] 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]
[7] 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]
[8] Bai K Z, Tan H L, Kong L J, Liu M R 2010 Chin. Phys. B 19 040510
[9] Pan J X, Xue Y,Liang Y J, Tang T Q 2009 Chin. Phys. B 18 4169
[10] Tang T Q, Huang H J, Shang H Y 2010 2010 Chin. Phys. B 19 050517
[11] Zhu L H, Chen S D, Kong L J, Liu M R, 2007 Acta Phys. Sin. 56 5674 (in Chinese) [朱留华、 陈时东、 孔令江、 刘慕仁 2007 56 5674] [12] Li X G, Gao Z Y, Jia B, Jiang R 2010 Chin. Phys. B 19 060501
[12] Song Y K, Zhao X M 2009 Chin. Phys. B 18 5242
[13] 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]
[14] FHWA, Publication No.: FHWA-HRT-07-033, 2007
[15] Combinido J S L, Lim M T 2010 Physica A 389 3640
[16] Liu P, Lu J J, Cao B 2009 Transp. Res. Rec. 2130 59
[17] Liu P, Lu J J 2008 J. Transp. Eng. 134 147
[18] Carter D, Hummer J E, Foyle R S, Phillips S 2005 Transp. Res. Rec. 1912 11
[19] Popkov V, Santen L, Schadschneider A, Schütz G M 2001 J. Phys. A 34 L45
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[1] Chowdhury D, Santen L, Schadschneider A 2000 Phys. Rep. 329 199
[2] Helbing D 2001 Rev. Mod. Phys. 73 1067
[3] Nagel K, Schreckenberg M 1992 J. Phys. I 2 2221 (in France)
[4] 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 3014]
[5] Zheng Z Z, Wang A L 2009 Chin. Phys. B 18 489
[6] 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]
[7] 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]
[8] Bai K Z, Tan H L, Kong L J, Liu M R 2010 Chin. Phys. B 19 040510
[9] Pan J X, Xue Y,Liang Y J, Tang T Q 2009 Chin. Phys. B 18 4169
[10] Tang T Q, Huang H J, Shang H Y 2010 2010 Chin. Phys. B 19 050517
[11] Zhu L H, Chen S D, Kong L J, Liu M R, 2007 Acta Phys. Sin. 56 5674 (in Chinese) [朱留华、 陈时东、 孔令江、 刘慕仁 2007 56 5674] [12] Li X G, Gao Z Y, Jia B, Jiang R 2010 Chin. Phys. B 19 060501
[12] Song Y K, Zhao X M 2009 Chin. Phys. B 18 5242
[13] 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]
[14] FHWA, Publication No.: FHWA-HRT-07-033, 2007
[15] Combinido J S L, Lim M T 2010 Physica A 389 3640
[16] Liu P, Lu J J, Cao B 2009 Transp. Res. Rec. 2130 59
[17] Liu P, Lu J J 2008 J. Transp. Eng. 134 147
[18] Carter D, Hummer J E, Foyle R S, Phillips S 2005 Transp. Res. Rec. 1912 11
[19] Popkov V, Santen L, Schadschneider A, Schütz G M 2001 J. Phys. A 34 L45
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