A new lattice model of two-lane traffic flow with the consideration of optimal current difference

Abstract In this paper, a new lattice model of traffic flow is proposed with the consideration of the optimal current difference for two-lane system. The linear stability condition is derived through linear stability analysis, which shows that the optimal current difference term can improve the stability of traffic flow. The mKdV equation is obtained through nonlinear analysis. Thus the space of traffic flow is divided into three regions: the stable region, the metastable region and the unstable region respectively. Moreover, numerical simulation confirms that the traffic jam can be suppressed efficiently by considering the optimal current difference effect in extended lattice model of two-lane traffic flow.

[1]  G. Peng,et al.  Non-lane-based lattice hydrodynamic model of traffic flow considering the lateral effects of the lan , 2011 .

[2]  G. Peng,et al.  A NEW LATTICE MODEL OF TRAFFIC FLOW WITH THE CONSIDERATION OF THE HONK EFFECT , 2011 .

[3]  G. Peng,et al.  A new lattice model of traffic flow with the anticipation effect of potential lane changing , 2012 .

[4]  Takashi Nagatani,et al.  Jamming transition of high-dimensional traffic dynamics , 1999 .

[5]  Wei-Zhen Lu,et al.  Lattice hydrodynamic model with bidirectional pedestrian flow , 2009 .

[6]  G. Peng,et al.  A new lattice model of traffic flow with the consideration of the driver's forecast effects , 2011 .

[7]  Takashi Nagatani,et al.  Modified KdV equation for jamming transition in the continuum models of traffic , 1998 .

[8]  Fangyan Nie,et al.  A driver’s memory lattice model of traffic flow and its numerical simulation , 2012 .

[9]  S. Dai,et al.  Effect of the optimal velocity function on traffic phase transitions in lattice hydrodynamic models , 2009 .

[10]  Fuqiang Liu,et al.  STABILIZATION ANALYSIS AND MODIFIED KdV EQUATION OF LATTICE MODELS WITH CONSIDERATION OF RELATIVE CURRENT , 2008 .

[11]  Hongxia Ge,et al.  The Korteweg-de Vries soliton in the lattice hydrodynamic model , 2009 .

[12]  Takashi Nagatani,et al.  TDGL and MKdV equations for jamming transition in the lattice models of traffic , 1999 .

[13]  Peng Guang-Han,et al.  A coupling lattice model of traffic flow on two lanes and numerical simulation , 2010 .

[14]  Takashi Nagatani,et al.  Jamming transitions and the modified Korteweg–de Vries equation in a two-lane traffic flow , 1999 .

[15]  Zhu Hui-bing,et al.  Lattice models of traffic flow considering drivers' delay in response , 2009 .

[16]  T. Nagatani.  Jamming transition in a two-dimensional traffic flow model. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[17]  S. Dai,et al.  Stabilization analysis and modified Korteweg-de Vries equation in a cooperative driving system. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  Shiqiang Dai,et al.  KdV and kink–antikink solitons in car-following models , 2005 .

[19]  Hongxia Ge,et al.  The theoretical analysis of the lattice hydrodynamic models for traffic flow theory , 2010 .

[20]  Huang Hai-Jun,et al.  An improved two-lane traffic flow lattice model , 2006 .

[21]  G. Peng,et al.  A new lattice model of traffic flow with the consideration of the traffic interruption probability , 2012 .

[22]  Gao Zi-You,et al.  Flow difference effect in the lattice hydrodynamic model , 2010 .

[23]  Takashi Nagatani,et al.  Jamming transition in traffic flow on triangular lattice , 1999 .

[24]  Liu Weining,et al.  A traffic flow lattice model considering relative current influence and its numerical simulation , 2010 .

[25]  Hongxia Ge,et al.  The “backward looking” effect in the lattice hydrodynamic model , 2008 .