Stability of the car-following model on two lanes.

In the case of two-lane traffic, vehicle drivers always worry about the lane changing actions from neighbor lane. This paper studies the stability of a car-following model on two lanes which incorporates the lateral effects in traffic. The stability condition of the model is obtained by using the linear stability theory. The modified Korteweg-de Vries equation is constructed and solved, and three types of traffic flows in the headway-sensitivity space--stable, metastable, and unstable--are classified. Both analytical and simulation results show that the anxiousness about lane changing from neighbor lane indeed has influence upon people's driving behavior and the consideration of lateral effects could stabilize the traffic flows on both lanes.

[1]  Xiangzhan Yu.  Analysis of the stability and density waves for traffic flow , 2002 .

[2]  Davis Lc,et al.  Comment on "Analysis of optimal velocity model with explicit delay". , 2002 .

[3]  R. E. Wilson,et al.  Global bifurcation investigation of an optimal velocity traffic model with driver reaction time. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  Takashi Nagatani,et al.  Delay effect on phase transitions in traffic dynamics , 1998 .

[5]  Nakayama,et al.  Dynamical model of traffic congestion and numerical simulation. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[6]  Akihiro Nakayama,et al.  Dynamical model of a cooperative driving system for freeway traffic. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  Helbing,et al.  Congested traffic states in empirical observations and microscopic simulations , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[8]  Komatsu,et al.  Kink soliton characterizing traffic congestion. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[9]  R. Jiang,et al.  Full velocity difference model for a car-following theory. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[10]  R. Sollacher,et al.  Multi-anticipative car-following model , 1999 .

[11]  D. Helbing,et al.  DERIVATION, PROPERTIES, AND SIMULATION OF A GAS-KINETIC-BASED, NONLOCAL TRAFFIC MODEL , 1999, cond-mat/9901240.

[12]  A. Schadschneider,et al.  Statistical physics of vehicular traffic and some related systems , 2000, cond-mat/0007053.

[13]  T. Nagatani.  Stabilization and enhancement of traffic flow by the next-nearest-neighbor interaction. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[14]  K. Hasebe,et al.  Analysis of optimal velocity model with explicit delay , 1998, patt-sol/9805002.

[15]  Xue Yu,et al.  The Effect of the Relative Velocity on Traffic Flow , 2002 .

[16]  Akihiro Nakayama,et al.  Equivalence of linear response among extended optimal velocity models. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  Ihor Lubashevsky,et al.  Bounded rational driver models , 2003 .

[18]  T. Nagatani,et al.  Soliton and kink jams in traffic flow with open boundaries. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[19]  S. Dai,et al.  Stabilization effect of traffic flow in an extended car-following model based on an intelligent transportation system application. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[20]  R. Jiang,et al.  A new continuum model for traffic flow and numerical tests , 2002 .

[21]  Dirk Helbing,et al.  GENERALIZED FORCE MODEL OF TRAFFIC DYNAMICS , 1998 .

[22]  Ihor Lubashevsky,et al.  Rational-driver approximation in car-following theory. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.