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Based on the condition of inhibiting traffic flow instability, this paper studies the effects of comprehensive information of the nearest following vehicle obtained by drivers' rear view behavior on traffic flow instability. Research shows that in the real practice the probability of paying attention to the information of the preceding vehicle is greater than that of paying attention to the information of the following vehicle, and the drivers' sensitive coefficient is assumed to be greater than 0, many conclusions such as the following can be obtained: 1) the information of the nearest following vehicle headway may reduce traffic flow instability, and the larger the attention probability, the smaller the traffic flow instability; on the contrary, the information of the velocity difference between the vehicle and the nearest following vehicle may increase the traffic flow instability, so the larger the attention probability, the bigger the traffic flow instability; 2) the instability reduction effect due to the comprehensive information from the nearest following vehicle is greater than the increasing effect on the traffic flow instability; 3) the bigger the driver's sensitive coefficient of the distance difference, the bigger the reducing effect of the information of the nearest following vehicle on traffic flow instability; 4) the bigger the driver's sensitive coefficient of the velocity difference, the bigger the increasing effect of the information of the nearest following vehicle on traffic flow instability.
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Keywords:
- traffic congestion /
- traffic flow instability /
- the comprehensive information of the nearest following vehicle /
- the car-following model
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[2] Newell G F 1961 Oper. Res. 9 209
[3] Bando M, Hasebe K, Nakyaama A, Shibata A, Sugiyama Y 1995 Phys. Rev. E 51 1035
[4] Helbing D, Tilch B 1998 Phys. Rev. E 58 133
[5] Nagatani T 1999 Phys. Rev. E 60 6395
[6] Jiang R, Wu Q S, Zhu Z J 2001 Phys. Rev. E 64 017101
[7] Jiang R, Wu Q S, Zhu Z J 2000 Chin. Sci. Bull. 45 1895 (in Chinese) [姜锐, 吴清松, 朱祚金 2000 科学通报 45 1895]
[8] Xue Y 2002 Chin. Phys. B 11 1128
[9] Zhao X M, Gao Z Y 2005 Eur. Phys. J. B 43 565
[10] Xue Y 2002 Chin. Phys. B 11 1128
[11] Hayakawa H, Nakanishi K 1998 Prog. Theor. Phys. Suppl. 130 57
[12] Nakayama A, Sugiyama Y, Hasebe K 2001 Phys. Rev. E 65 016112
[13] Hasebe K, Nakayama A, Sugiyama Y 2003 Phys. Rev. E 68 026102
[14] Ge H X, Zhu H B, Dai S Q 2006 Eur. Phys. J. B 54 503
[15] Sun D H, Zhang J C, Zhao M 2012 Journal of Sichuan University (Natural Science Edition) 49 115 (in Chinese) [孙棣华, 张建厂, 赵敏, 田川 2012 四川大学学报 (自然科学版) 49 115]
[16] Peng G H 2010 Chin. Phs. B 19 056401
[17] Peng G H, Sun D H 2009 Chin. Phys. B 18 5420
[18] Peng G H 2011 Systems Engineering-Theory & Practice 31 569 (in Chinese) [彭广含 2011 系统工程理论与实践 31 569]
[19] Sun D H, Li Y F, Tian C 2010 Systems Engineering-Theory & Practice 30 1326 (in Chinese) [孙棣华, 李永福, 田川 2010 系统工程理论与实践 30 1326]
[20] Zhao X M, Gao Z Y 2005 Eur Phys J B. 47 145
[21] Xie D F, Gao Z Y, Zhao X M 2008 Commun Comput Phys. 3 899
[22] Ge H X, Cui Y, Cheng R J 2014 Acta Phys. Sin. 63 110504 (in Chinese) [葛红霞, 崔煜, 程荣军 2014 物理学报 63 110504]
[23] Ye J J, Li K P, Jin X M 2014 Acta Phys. Sin. 63 070202 (in Chinese) [叶晶晶, 李克平, 金新民 2014 物理学报 63 070202]
[24] Zhou T, Sun D H, Li H M, Liu W M 2014 Chin. Phys. B 23 050203
[25] Zhang H M 2003 Tran. Res. Part B 37 561
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[1] Pipes L A 1953 J. Appl. Phys. 24 274
[2] Newell G F 1961 Oper. Res. 9 209
[3] Bando M, Hasebe K, Nakyaama A, Shibata A, Sugiyama Y 1995 Phys. Rev. E 51 1035
[4] Helbing D, Tilch B 1998 Phys. Rev. E 58 133
[5] Nagatani T 1999 Phys. Rev. E 60 6395
[6] Jiang R, Wu Q S, Zhu Z J 2001 Phys. Rev. E 64 017101
[7] Jiang R, Wu Q S, Zhu Z J 2000 Chin. Sci. Bull. 45 1895 (in Chinese) [姜锐, 吴清松, 朱祚金 2000 科学通报 45 1895]
[8] Xue Y 2002 Chin. Phys. B 11 1128
[9] Zhao X M, Gao Z Y 2005 Eur. Phys. J. B 43 565
[10] Xue Y 2002 Chin. Phys. B 11 1128
[11] Hayakawa H, Nakanishi K 1998 Prog. Theor. Phys. Suppl. 130 57
[12] Nakayama A, Sugiyama Y, Hasebe K 2001 Phys. Rev. E 65 016112
[13] Hasebe K, Nakayama A, Sugiyama Y 2003 Phys. Rev. E 68 026102
[14] Ge H X, Zhu H B, Dai S Q 2006 Eur. Phys. J. B 54 503
[15] Sun D H, Zhang J C, Zhao M 2012 Journal of Sichuan University (Natural Science Edition) 49 115 (in Chinese) [孙棣华, 张建厂, 赵敏, 田川 2012 四川大学学报 (自然科学版) 49 115]
[16] Peng G H 2010 Chin. Phs. B 19 056401
[17] Peng G H, Sun D H 2009 Chin. Phys. B 18 5420
[18] Peng G H 2011 Systems Engineering-Theory & Practice 31 569 (in Chinese) [彭广含 2011 系统工程理论与实践 31 569]
[19] Sun D H, Li Y F, Tian C 2010 Systems Engineering-Theory & Practice 30 1326 (in Chinese) [孙棣华, 李永福, 田川 2010 系统工程理论与实践 30 1326]
[20] Zhao X M, Gao Z Y 2005 Eur Phys J B. 47 145
[21] Xie D F, Gao Z Y, Zhao X M 2008 Commun Comput Phys. 3 899
[22] Ge H X, Cui Y, Cheng R J 2014 Acta Phys. Sin. 63 110504 (in Chinese) [葛红霞, 崔煜, 程荣军 2014 物理学报 63 110504]
[23] Ye J J, Li K P, Jin X M 2014 Acta Phys. Sin. 63 070202 (in Chinese) [叶晶晶, 李克平, 金新民 2014 物理学报 63 070202]
[24] Zhou T, Sun D H, Li H M, Liu W M 2014 Chin. Phys. B 23 050203
[25] Zhang H M 2003 Tran. Res. Part B 37 561
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