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The traffic flow at the roundabout crossing with the inner roundabout lane and the outer roundabout lane is described by a cellular automaton traffic flow model with open boundary condition. Simulation results show that the boundary condition and bottlenecks affect the traffic flow at the roundabout crossing. The enter probability α and the out probability β can change the systemic flux in a certain range. Three phases of the system are differentiated by the relationship between the systemic flux and the enter probability α,the out probability β. The systemic phase diagram is also studied. The research can provide a reference for the realistic traffic control.
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Keywords:
- grade roundabout crossing /
- cellular automaton model /
- bottleneck /
- phase diagram
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[10] Li X L,Kuang H,Song T,Dai S Q,Li Z P 2008 Chin. Phys.B 17 2366
[11] 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]
[12] Ding J X,Huang H J,Tang T Q 2009 Acta Phys. Sin. 58 7591 (in Chinese) [丁建勋、黄海军、唐铁桥 2009 58 7591] 〖13] Jiang R,Wu Q S,Wang B H 2002 Phys. Rev. E 66 036104
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[15] Jia B,Jiang R,Wu Q S 2004 Phys. Rev. E 69 056105
[16] Huang D W 2007 Physica A 383 603
[17] Fouladv,M E,Sadjadi Z,Shaebani M R 2004 Phys. Rev. E 70 046132
[18] Wang R,Ruskin H J 2002 Comp. Phys. Comm. 147 570
[19] Wang R,Ruskin H J 2006 Int. J. Mod. Phys. C 17 693
[20] Chen R X,Bai K Z,Liu M R 2006 Chin. Phys. 15 1471
[21] Bai K Z,Chen R X,Kong L J,Liu M R 2009 Acta Phys. Sin. 58 4500 (in Chinese) [白克钊、陈瑞熊、孔令江、刘慕仁 2009 58 4500]
[22] Nagel K,Schrenckenberg M 1992 J. Phys. I 2 2221 (in France)
[23] Joachim K 1991 Phys. Rev. Lett. 67 1882
[24] Cheybani S,Kertesz J,Schrenckenberg M 2001 Phys. Rev. E 63 016107
[25] Kerner B S 2004 Physica A 333 379
[26] Bai K Z,Tan H L,Kong L J,Liu M R 2010 Chin. Phys. B 19 040510
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[1] Sven M,Bart D M 2005 Phys. Rep. 408 1067
[2] Chowdhury D,Santen L,Schadschneider A 2000 Phys. Rep. 329 199
[3] Tan H L,Liu M R,Kong L J 2002 Acta Phys. Sin. 51 2713 (in Chinese) [谭惠丽、刘慕仁、孔令江 2002 51 2713]
[4] Wu J J,Sun H J,Gao Z Y 2008 Phys. Rev. E 78 036103
[5] Xue Y 2002 Chin. Phys. 11 1128
[6] Wang R,Liu M,Jiang R 2008 Phys. Rev. E 77 051108
[7] Jia N,Ma S F 2009 Phys. Rev. E 78 031115
[8] Mei C Q,Huang H J,Tang T Q 2008 Acta Phys. Sin. 57 4786 (in Chinese) [梅超群、黄海军、唐铁桥 2008 57 4786]
[9] Li X G,Gao Z Y,Zhao X M,Jia B 2008 Acta Phys. Sin. 57 4777 (in Chinese) [李新刚、高自友、赵小梅、贾 斌 2008 57 4777]
[10] Li X L,Kuang H,Song T,Dai S Q,Li Z P 2008 Chin. Phys.B 17 2366
[11] 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]
[12] Ding J X,Huang H J,Tang T Q 2009 Acta Phys. Sin. 58 7591 (in Chinese) [丁建勋、黄海军、唐铁桥 2009 58 7591] 〖13] Jiang R,Wu Q S,Wang B H 2002 Phys. Rev. E 66 036104
[13] Jiang R,Jia B,Wu Q S 2003 J. Phys. A 36 11713
[14] Jia B,Jiang R,Wu Q S 2005 Physica A 345 218
[15] Jia B,Jiang R,Wu Q S 2004 Phys. Rev. E 69 056105
[16] Huang D W 2007 Physica A 383 603
[17] Fouladv,M E,Sadjadi Z,Shaebani M R 2004 Phys. Rev. E 70 046132
[18] Wang R,Ruskin H J 2002 Comp. Phys. Comm. 147 570
[19] Wang R,Ruskin H J 2006 Int. J. Mod. Phys. C 17 693
[20] Chen R X,Bai K Z,Liu M R 2006 Chin. Phys. 15 1471
[21] Bai K Z,Chen R X,Kong L J,Liu M R 2009 Acta Phys. Sin. 58 4500 (in Chinese) [白克钊、陈瑞熊、孔令江、刘慕仁 2009 58 4500]
[22] Nagel K,Schrenckenberg M 1992 J. Phys. I 2 2221 (in France)
[23] Joachim K 1991 Phys. Rev. Lett. 67 1882
[24] Cheybani S,Kertesz J,Schrenckenberg M 2001 Phys. Rev. E 63 016107
[25] Kerner B S 2004 Physica A 333 379
[26] Bai K Z,Tan H L,Kong L J,Liu M R 2010 Chin. Phys. B 19 040510
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