Influence of lane change on stability analysis for two-lane traffic flow

doi:10.1088/1674-1056/20/8/088701

Abstract This paper deals mainly with the influence of lane changing behaviours on the stability of two-lane traffic flow under a periodic boundary condition. Following the description of an optimal velocity model for two vehicle groups and the derivation of their stability conditions, the feedback signals, which involve information about vehicles from both lanes acting on the two-lane traffic system, are introduced into the optimal velocity model. The control signals play a role in alleviating the traffic jam only if the traffic state is in congestion, and their role will vanish if the traffic state is in the steady state. The numerical simulations show that lane changing behaviours can break the steady state of two-lane traffic flow and aggravate the traffic disturbance, but the control method would successfully suppress the traffic jam eventually, which implies that the conclusions obtained here have certain theoretical and practical significance.

Keywords: stability analysis optimal velocity model lane changing behaviours feedback signals

Received: 28 February 2011
Revised: 09 April 2011
Accepted manuscript online:

PACS:	87.19.lr	(Control theory and feedback)
	47.52.+j	(Chaos in fluid dynamics)
	47.85.L-	(Flow control)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 70971094), the National Natural Science Youth Foundation of China (Grant No. 50908155), and the Key Project of Tianjin Municipal Science and Technology Support Program, China (Grant No. 08ZCKFSF01000).

Cite this article:

Zheng Liang(郑亮), Ma Shou-Feng(马寿峰), and Zhong Shi-Quan(钟石泉) Influence of lane change on stability analysis for two-lane traffic flow 2011 Chin. Phys. B 20 088701

[1]	Lighthill M J and Whitham G B 1955 Proc. Roy. Soc. A 229 281
[2]	Kerner B S and Konh"auser P 1993 Phys. Rev. E 48 R2335
[3]	Daganzo C F 1995 Trans. Res. B 29 277
[4]	Helbing D 1995 Physica A 219 375
[5]	Helbing D 1996 Phys. Rev. E 53 2366
[6]	Helbing D 1997 Physica A 242 175
[7]	Cho H J and Lo S C 2002 Physica A 312 342
[8]	Nagel K and Schreckenberg M 1992 J. Physique I 2 2221
[9]	Kerner B S and Rehborn H 1996 Phys. Rev. E 53 R1297
[10]	Kerner B S 2002 Math. Comput. Model. 65 046138
[11]	Helbing D and Tilch B 1998 Phys. Rev. E 58 133
[12]	Pipes L 1967 Trans. Res. B 1 21
[13]	Chandler R E, Hermna R and Montroll E W 1958 Oper. Res. 6 165
[14]	Bando M, Hasebe K, Nakayama A, Shibata A and Sugiyama Y 1995 Phys. Rev. E 51 1035
[15]	Davis L C 2002 Phys. Rev. E 66 038101
[16]	Lubashevsky I, Wagner P and Mahnke R 2003 Eur. Phys. J. B 32 243
[17]	Komatsu T and Sasa S I 1995 Phys. Rev. E 52 5574
[18]	Nagatani T and Nakanishi K 1998 Phys. Rev. E 57 6415
[19]	Jiang R, Wu Q S and Zhu Z J 2001 Phys. Rev. E 64 017101
[20]	Wang T, Gao Z Y and Zhao X M 2006 Acta Phys. Sin. 55 634 (in Chinese)
[21]	Su Y, Zheng Z R and Su W H 2007 Acta Phys. Sin. 56 6989 (in Chinese)
[22]	Wei G F, Li K T, Feng W and Gao H F 2008 Acta Phys. Sin. 57 639 (in Chinese)
[23]	Peng G H 2010 Chin. Phys. B 19 056401
[24]	Qi D L, Yang J and Zhang J L 2010 Chin. Phys. B 19 100506
[25]	Kurata S and Nagatani T 2003 Physica A 318 537
[26]	Nagai R, Nagatani T and Taniguchi N 2005 Physica A 350 548
[27]	Tang T Q, Huang H J and Gao Z Y 2005 Phys. Rev. E 72 066124
[28]	Tang T Q, Huang H J and Wong S C 2008 Acta Mech. Sin. 24 399
[29]	Kerner B S 2005 Physica A 355 565
[30]	Davis L 2004 Phys. Rev. E 69 066110
[31]	Treiber M and Helbing D 2001 Automatisierungstechnik 49 478
[32]	VanderWerf J, Shladover S, Miller M and Kourjanskaia N 2002 Trans. Res. Rec. 1800 78
[33]	Konishi K, Kokame H and Hirata K 2000 Eur. Phys. J. B 15 715
[34]	Zhao X and Gao Z 2005 Eur. Phys. J. B 43 565
[35]	Chen X, Gao Z Y, Zhao X M and Jia B 2007 Acta Phys. Sin. 56 2046 (in Chinese)
[36]	Kurata S and Nagatani T 2003 Physica A 318 537
[37]	Nagai R, Nagatani T and Taniguchi N 2005 Physica A 350 548

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