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In order to depict the real car-following behaviors better, in this paper we present a new car-following model by introducing the effect parameter of lateral separation distance and proposing the concepts of overtaking expectation and virtual front car based on OV model. The stability condition of the model is obtained by using the linear stability theory. It is found that with the increase of lateral separation and overtaking expectation, the stability region of traffic flow increases at a low density while it decreases at a high density. The results of numerical simulation verify the analytic results. Thus, in some places like traffic bottlenecks, which usually have a high traffic density, it is necessary to restrict the lateral movement and overtaking behavior of vehicles for suppressing the traffic jam.
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Keywords:
- traffic flow /
- car-following model /
- lateral separation /
- overtaking expectation
[1] Reusch B 1950 Oesterreichisches Ingenieur-Archir 4 193
[2] Pipes L A 1953 J. Appl. Phys. 24 274
[3] Newell G F 1961 Oper. Res. 9 209
[4] Bando M, Nakayama A, Sugiyama Y 1995 Phys. Rev. E 51 1035
[5] Komatsu T S, Sasa S 1995 Phys. Rev. E 52 5574
[6] Bando M, Hasebe K, Nakanishi K, Nakayama A 1998 Phys. Rev. E 58 5429
[7] Sugiyama Y, Yamada H 1998 Traffic and Granular Flow'97 (Berlin: Springer)
[8] Berg P, Wilson E 2005 Traffic and Granular Flow'03 (Berlin: Springer)
[9] Helbing D, Tilch B 1998 Phys. Rev. E 58 133
[10] Jiang R, Wu Q S, Zhu Z J 2001 Phys. Rev. E 64 017101
[11] Xue Y, Dong L Y, Yuan Y W, Dai S Q 2002 Acta Phys. Sin. 51 492 (in Chinese) [薛郁, 董力耘, 袁以武, 戴世强 2002 51 492]
[12] Xue Y 2003 Acta Phys. Sin. 52 2750 (in Chinese) [薛郁 2003 52 2750]
[13] Gunay B 2007 Trans. Res. B 41 722
[14] Jin S, Wang D H 2010 Physica A 389 4654
[15] Jin S, Wang D H 2011 Trans. Res. Record 2249 7
[16] Jin S, Wang D H 2012 Phys. Lett. A 376 153
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[1] Reusch B 1950 Oesterreichisches Ingenieur-Archir 4 193
[2] Pipes L A 1953 J. Appl. Phys. 24 274
[3] Newell G F 1961 Oper. Res. 9 209
[4] Bando M, Nakayama A, Sugiyama Y 1995 Phys. Rev. E 51 1035
[5] Komatsu T S, Sasa S 1995 Phys. Rev. E 52 5574
[6] Bando M, Hasebe K, Nakanishi K, Nakayama A 1998 Phys. Rev. E 58 5429
[7] Sugiyama Y, Yamada H 1998 Traffic and Granular Flow'97 (Berlin: Springer)
[8] Berg P, Wilson E 2005 Traffic and Granular Flow'03 (Berlin: Springer)
[9] Helbing D, Tilch B 1998 Phys. Rev. E 58 133
[10] Jiang R, Wu Q S, Zhu Z J 2001 Phys. Rev. E 64 017101
[11] Xue Y, Dong L Y, Yuan Y W, Dai S Q 2002 Acta Phys. Sin. 51 492 (in Chinese) [薛郁, 董力耘, 袁以武, 戴世强 2002 51 492]
[12] Xue Y 2003 Acta Phys. Sin. 52 2750 (in Chinese) [薛郁 2003 52 2750]
[13] Gunay B 2007 Trans. Res. B 41 722
[14] Jin S, Wang D H 2010 Physica A 389 4654
[15] Jin S, Wang D H 2011 Trans. Res. Record 2249 7
[16] Jin S, Wang D H 2012 Phys. Lett. A 376 153
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