Spatiotemporal congested traffic patterns in macroscopic version of the Kerner–Klenov speed adaptation model

In this Letter, a macroscopic version of the microscopic three phase speed adaptation model proposed by Kerner and Klenov [B.S. Kerner, S.L. Klenov, J. Phys. A 39 (2006) 1775], which employing the idea that steady states of free flow are separated from that of synchronized flow, is presented through the micro–macro link. The simulations of the macroscopic model with an on-ramp show that the various congested patterns found in empirical observations are reproduced. We have compared the results in microscopic speed adaptation model and in the macroscopic version. The existing problems in the model are pointed out.

[1]  Rui Jiang,et al.  Cellular automata models for synchronized traffic flow , 2003 .

[2]  Boris S. Kerner,et al.  Cellular automata approach to three-phase traffic theory , 2002, cond-mat/0206370.

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

[4]  Michael Schreckenberg,et al.  Mechanical restriction versus human overreaction triggering congested traffic states. , 2004, Physical review letters.

[5]  Bart De Moor,et al.  Cellular automata models of road traffic , 2005, physics/0509082.

[6]  B. Kerner,et al.  A microscopic model for phase transitions in traffic flow , 2002 .

[7]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[8]  H. Lee,et al.  Dynamic states of a continuum traffic equation with on-ramp. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

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

[10]  R Kunzig,et al.  THE PHYSICS OF ... TRAFFIC , 1999 .

[11]  D. Helbing,et al.  Phase diagram of tra c states in the presence of inhomogeneities , 1998, cond-mat/9809324.

[12]  Michael Schreckenberg,et al.  Traffic and Granular Flow ' 05 , 2007 .

[13]  Boris S. Kerner,et al.  Deterministic microscopic three-phase traffic flow models , 2006 .

[14]  T. Nagatani.  The physics of traffic jams , 2002 .

[15]  D. Wolf,et al.  Traffic and Granular Flow ’03 , 2005 .

[16]  Michael Schreckenberg,et al.  Traffic and Granular Flow’01 , 2003 .

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

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

[19]  Dirk Helbing,et al.  Granular and Traffic Flow ’99: Social, Traffic, and Granular Dynamics , 2000 .