Staggered car-following induced by lateral separation effects in traffic flow

Abstract This Letter develops a new staggered car-following model taking into consideration lateral separation effects. Time-to-collision, calculated using visual angle variables, is introduced to describe the lateral separation distance and improve the optimal velocity model. The analytical and numerical results show that the stability of traffic flow can gradually be enhanced with the increase of lateral separation effects. The asymmetry property of traffic flow is also investigated using the new model. The results imply that incorporating lateral separation effects into the car-following model leads to the suppression of traffic jams and greatly enhances the realism of the model.

[1]  David N. Lee,et al.  A Theory of Visual Control of Braking Based on Information about Time-to-Collision , 1976, Perception.

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

[3]  George J. Andersen,et al.  Optical Information for Car Following: The Driving by Visual Angle (DVA) Model , 2007, Hum. Factors.

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

[5]  Michael Schreckenberg,et al.  A cellular automaton model for freeway traffic , 1992 .

[6]  G. Peng,et al.  Optimal velocity difference model for a car-following theory , 2011 .

[7]  W. V. Winsum.  THE HUMAN ELEMENT IN CAR FOLLOWING MODELS , 1999 .

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

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

[10]  A Heino,et al.  Choice of time-headway in car-following and the role of time-to-collision information in braking. , 1996, Ergonomics.

[11]  Havlin,et al.  Presence of many stable nonhomogeneous states in an inertial car-following model , 2000, Physical review letters.

[12]  Zhi-yi Huang,et al.  Car-following theory of steady-state traffic flow using time-to-collision , 2011 .

[13]  Sheng Jin,et al.  Visual angle model for car-following theory , 2011 .

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

[15]  G. Peng,et al.  A dynamical model of car-following with the consideration of the multiple information of preceding cars , 2010 .

[16]  Takashi Nagatani,et al.  Safety–collision transition induced by lane changing in traffic flow , 2011 .

[17]  Hai-Jun Huang,et al.  A new car-following model with the consideration of the driver's forecast effect , 2010 .

[18]  Sheng Jin,et al.  Non-lane-based full velocity difference car following model , 2010 .

[19]  D. Helbing.  Traffic and related self-driven many-particle systems , 2000, cond-mat/0012229.

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