Lane changing analysis for two-lane traffic flow

In this paper, the two-lane traffic are studied by using the lane-changing rules in the car-following models. The simulation show that the frequent lane changing occurs when the lateral distance in car following activities is considered and it gives rise to oscillating waves. In contrast, if the lateral distance is not considered (or considered occasionally), the lane changing appears infrequently and soliton waves occurs. This implies that the stabilization mechanism no longer functions when the lane changing is permitted. Since the oscillating and soliton waves correspond to the unstable and metastable flow regimes, respectively, our study verifies that a phase transition may occur as a result of the lane changing.

[1]  M J Lighthill,et al.  On kinematic waves II. A theory of traffic flow on long crowded roads , 1955, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[2]  P. I. Richards Shock Waves on the Highway , 1956 .

[3]  P. G. Gipps,et al.  A MODEL FOR THE STRUCTURE OF LANE-CHANGING DECISIONS , 1986 .

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

[5]  T. Nagatani Traffic Jam and Shock Formation in Stochastic Traffic-Flow Model of a Two-Lane Roadway , 1994 .

[6]  Takashi Nagatani,et al.  Dynamical jamming transition induced by a car accident in traffic-flow model of a two-lane roadway , 1994 .

[7]  Nakayama,et al.  Dynamical model of traffic congestion and numerical simulation. , 1995, 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]  Kurtze,et al.  Traffic jams, granular flow, and soliton selection. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[10]  Kai Nagel,et al.  Two-lane traffic rules for cellular automata: A systematic approach , 1997, cond-mat/9712196.

[11]  E. Holland,et al.  A continuum model for the dispersion of traffic on two-lane roads , 1997 .

[12]  Carlos F. Daganzo,et al.  A continuum theory of traffic dynamics for freeways with special lanes , 1997 .

[13]  Carlos F. Daganzo,et al.  A SIMPLE PHYSICAL PRINCIPLE FOR THE SIMULATION OF FREEWAYS WITH SPECIAL LANES AND PRIORITY VEHICLES , 1997 .

[14]  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.

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

[16]  Fouladvand Reaction-diffusion models describing a two-lane traffic flow , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[17]  Yang Dong-yuan Pure-micro Car Following Model for Traffic Simulation System , 2001 .

[18]  Joachim Krug,et al.  A Cellular Automaton Model for Two-Lane Traffic , 2001 .

[19]  W. Knospe,et al.  A realistic two-lane traffic model for highway traffic , 2002, cond-mat/0203346.

[20]  Ding-Wei Huang,et al.  Lane-changing behavior on highways. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[21]  A. Sasoh Impact of Unsteady Disturbance on Multi-lane Traffic Flow , 2002 .

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

[23]  Takashi Nagatani,et al.  Spatio-temporal dynamics of jams in two-lane traffic flow with a blockage , 2003 .

[24]  L C Davis,et al.  Multilane simulations of traffic phases. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[25]  Haijun Huang,et al.  Continuum models for freeways with two lanes and numerical tests , 2004 .

[26]  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.

[27]  Hai-Jun Huang,et al.  Stability of the car-following model on two lanes. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[28]  Ludger Santen,et al.  Optimization Potential of a Highway Network: An Empirical Study , 2005 .

[29]  Takashi Nagatani,et al.  Traffic states and jamming transitions induced by a bus in two-lane traffic flow , 2005 .

[30]  Ziyou Gao,et al.  Continuum modeling for two-lane traffic flow , 2006 .