Density waves in a lattice hydrodynamic traffic flow model with the anticipation effect

By introducing the traffic anticipation effect in the real world into the original lattice hydrodynamic model, we present a new anticipation effect lattice hydrodynamic (AELH) model, and obtain the linear stability condition of the model by applying the linear stability theory. Through nonlinear analysis, we derive the Burgers equation and Korteweg-de Vries (KdV) equation, to describe the propagating behaviour of traffic density waves in the stable and the metastable regions, respectively. The good agreement between simulation results and analytical results shows that the stability of traffic flow can be enhanced when the anticipation effect is considered.

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

[2]  Sun Dihua,et al.  A viscous continuum traffic flow model with consideration of the coupling effect for two-lane freeways , 2009 .

[3]  Tong Li,et al.  Density waves in a traffic flow model with reaction-time delay , 2010 .

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

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

[6]  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.

[7]  Chen Xuan,et al.  Study on the two-lane feedback controled car-following model , 2007 .

[8]  Ge Hong-Xia,et al.  Cellular automaton traffic flow model considering intelligent transportation system , 2005 .

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

[10]  Shi Wei,et al.  Effect of multi-velocity-direrence in traffic flow , 2008 .

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

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

[13]  Shing Chung Josh Wong,et al.  A new car-following model with consideration of the traffic interruption probability , 2009 .

[14]  D. Shi-qiang,et al.  The density wave in a new anisotropic continuum model , 2008 .

[15]  Kerner,et al.  Cluster effect in initially homogeneous traffic flow. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

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