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Modeling and analysis of vehicle behavior at bottlenecks

He Zhao-Cheng Sun Wen-Bo Zhang Li-Cheng Xu Fei-Fei Zhuang Li-Jian

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Modeling and analysis of vehicle behavior at bottlenecks

He Zhao-Cheng, Sun Wen-Bo, Zhang Li-Cheng, Xu Fei-Fei, Zhuang Li-Jian
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  • Microscopic traffic models are developed to simulate traffic phenomena. However, current models are usually based on the fact that vehicles travel in the middle of a single lane and make a lateral movement only when the driver wants to change lane. They are incapable of describing driving behavior in a complex traffic environment with a lot of lateral separations which may cause traffic flow to be unstable on a single lane. In order to solve the problem, in this paper we first build up the equations of motion based on target steering angle (TSA) and then establish a series of rules for determining TSA by considering the lateral separation characteristics between the follower and the leader. Finally a new vehicular behavior model is developed. The properties of the model are investigated by simulating two scenarios. It is found that the proposed model is capable of describing complex phenomena which cannot be described by existing models and explaining the perturbation caused by bus near bus stations. The results also imply that this model with taking the lateral separation characteristic into account greatly enhances the effectiveness of vehicular behavior.
    • Funds: Project supported by the National High Technology Research and Development Program of China (Grant No. 2012AA112311).
    [1]

    He S, Guan W, Song L Y 2010 Physica A 389 825

    [2]

    Laval J A, Leclercq L 2010 Phil. Trans. R. Soc. A 368 4519

    [3]

    Kerner B S 2002 Phys. Rev. E 65 046138

    [4]

    Siebel F, Mauser W, Moutari S, Rascle M 2009 Mathematical and Compute Modelling 49 689

    [5]

    Munoz J C, Daganzo C 2002 Trans. Res. Part B 36 483

    [6]

    Jiang R, Wu Q S, Wang B H 2002 Phy. Rev. E 66 036104

    [7]

    Fouladvand E M, Zeinab S, Shaebani R M 2004 Phys. Rev. E 70 046132

    [8]

    Zhu H B, Lei L, Dai S Q 2009 Physica A 388 2903

    [9]

    Sheng P, Zhao S L, Wang J F, Zuo H 2010 Acta Phys. Sin. 59 3831 (in Chinese) [盛鹏, 赵树龙, 王俊峰, 左航 2010 物理学报 59 3831]

    [10]

    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 物理学报 55 1711]

    [11]

    Reusch B 1950 Oesterreichisches Ingenieur-Archir 4 193

    [12]

    Pipes L A 1953 J. Appl. Phys. 24 274

    [13]

    Newell G F 1961 Oper. Res. 9 209

    [14]

    Bando M, Nakayama A, Sugiyama Y 1995 Phys. Rev. E 51 1035

    [15]

    Helbing D, Tilch B 1998 Phys. Rev. E 58 133

    [16]

    Jiang R, Wu Q S, Zhu Z J 2001 Phys. Rev. E 64 017101

    [17]

    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 物理学报 51 492]

    [18]

    Xue Y 2003 Acta Phys. Sin. 52 2750 (in Chinese) [薛郁 2003 物理学报 52 2750]

    [19]

    Xie D F, Gao Z Y, Zhao X M, Li K P 2009 Physica A 388 2041

    [20]

    L W, Song W G, Fang Z M 2011 Physica A 390 2303

    [21]

    Toledo T, Choudhury C, Ben-Akiva M 2005 Trans. Res. Record 1934 157

    [22]

    Kesting A, Treiber M, Helbing D 2007 Trans. Res. Record 1999 86

    [23]

    Yang X B 2009 Acta Phys. Sin. 58 837 (in Chinese) [杨小宝 2009 物理学报 58 837]

    [24]

    Tang T Q, Huang H J, Gao Z Y 2005 Phys. Rev. E 72 066124

    [25]

    Jin S, Wang D H 2010 Physica A 389 4654

    [26]

    Jin S, Wang D H 2011 Trans. Res. Record 2249 7

    [27]

    Jin S, Wang D H 2012 Phys. Lett. A 376 153

    [28]

    Reymond G, Kemeny A, Droulez J, Berthoz A 2001 Human Factors 43 483

    [29]

    Gunay B 2007 Trans. Res. Part B 41 722

  • [1]

    He S, Guan W, Song L Y 2010 Physica A 389 825

    [2]

    Laval J A, Leclercq L 2010 Phil. Trans. R. Soc. A 368 4519

    [3]

    Kerner B S 2002 Phys. Rev. E 65 046138

    [4]

    Siebel F, Mauser W, Moutari S, Rascle M 2009 Mathematical and Compute Modelling 49 689

    [5]

    Munoz J C, Daganzo C 2002 Trans. Res. Part B 36 483

    [6]

    Jiang R, Wu Q S, Wang B H 2002 Phy. Rev. E 66 036104

    [7]

    Fouladvand E M, Zeinab S, Shaebani R M 2004 Phys. Rev. E 70 046132

    [8]

    Zhu H B, Lei L, Dai S Q 2009 Physica A 388 2903

    [9]

    Sheng P, Zhao S L, Wang J F, Zuo H 2010 Acta Phys. Sin. 59 3831 (in Chinese) [盛鹏, 赵树龙, 王俊峰, 左航 2010 物理学报 59 3831]

    [10]

    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 物理学报 55 1711]

    [11]

    Reusch B 1950 Oesterreichisches Ingenieur-Archir 4 193

    [12]

    Pipes L A 1953 J. Appl. Phys. 24 274

    [13]

    Newell G F 1961 Oper. Res. 9 209

    [14]

    Bando M, Nakayama A, Sugiyama Y 1995 Phys. Rev. E 51 1035

    [15]

    Helbing D, Tilch B 1998 Phys. Rev. E 58 133

    [16]

    Jiang R, Wu Q S, Zhu Z J 2001 Phys. Rev. E 64 017101

    [17]

    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 物理学报 51 492]

    [18]

    Xue Y 2003 Acta Phys. Sin. 52 2750 (in Chinese) [薛郁 2003 物理学报 52 2750]

    [19]

    Xie D F, Gao Z Y, Zhao X M, Li K P 2009 Physica A 388 2041

    [20]

    L W, Song W G, Fang Z M 2011 Physica A 390 2303

    [21]

    Toledo T, Choudhury C, Ben-Akiva M 2005 Trans. Res. Record 1934 157

    [22]

    Kesting A, Treiber M, Helbing D 2007 Trans. Res. Record 1999 86

    [23]

    Yang X B 2009 Acta Phys. Sin. 58 837 (in Chinese) [杨小宝 2009 物理学报 58 837]

    [24]

    Tang T Q, Huang H J, Gao Z Y 2005 Phys. Rev. E 72 066124

    [25]

    Jin S, Wang D H 2010 Physica A 389 4654

    [26]

    Jin S, Wang D H 2011 Trans. Res. Record 2249 7

    [27]

    Jin S, Wang D H 2012 Phys. Lett. A 376 153

    [28]

    Reymond G, Kemeny A, Droulez J, Berthoz A 2001 Human Factors 43 483

    [29]

    Gunay B 2007 Trans. Res. Part B 41 722

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Publishing process
  • Received Date:  20 March 2013
  • Accepted Date:  02 May 2013
  • Published Online:  05 August 2013

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