The stochastic randomization effect in the on-ramp system: single-lane main road and two-lane main road situations

In this paper, we investigate the effect of the stochastic randomization in the on-ramp system using the cellular automata traffic flow model. Both single-lane main road and two-lane main road situations are studied. The variation of the phase diagram with the randomization probability p is studied. A new phase, i.e., the maximum flow phase is reported in the two-lane main road situation. The capacity of the on-ramp system under different p and vmax is discussed.

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

[2]  Nagel,et al.  Discrete stochastic models for traffic flow. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[3]  D. Helbing,et al.  Gas-Kinetic-Based Traffic Model Explaining Observed Hysteretic Phase Transition , 1998, cond-mat/9810277.

[4]  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.

[5]  B. Kerner Experimental features of the emergence of moving jams in free traffic flow , 2000 .

[6]  B. Kerner,et al.  EXPERIMENTAL PROPERTIES OF PHASE TRANSITIONS IN TRAFFIC FLOW , 1997 .

[7]  Michael Schreckenberg,et al.  Workshop on Traffic and Granular Flow '97 : Gerhard-Mercato-Universität Duisburg, Germany, 6-8 October 1997 , 1998 .

[8]  P Berg,et al.  On-ramp simulations and solitary waves of a car-following model. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

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

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

[12]  Kerner,et al.  Experimental features and characteristics of traffic jams. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[13]  A. Schadschneider,et al.  Effects of On- and Off-Ramps in Cellular Automata Models for Traffic Flow , 2000 .

[14]  B. Kerner EXPERIMENTAL FEATURES OF SELF-ORGANIZATION IN TRAFFIC FLOW , 1998 .

[15]  Michael Schreckenberg,et al.  Particle hopping models for two-lane traffic with two kinds of vehicles: Effects of lane-changing rules , 1997 .

[16]  Kerner,et al.  Experimental properties of complexity in traffic flow. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[17]  H. Lee,et al.  ORIGIN OF SYNCHRONIZED TRAFFIC FLOW ON HIGHWAYS AND ITS DYNAMIC PHASE TRANSITIONS , 1998, cond-mat/9805097.

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

[19]  A. Schadschneider,et al.  Empirical evidence for a boundary-induced nonequilibrium phase transition , 2001 .

[20]  E. G. Campari,et al.  A cellular automata model for highway traffic , 2000 .

[21]  Rui Jiang,et al.  Cellular automata model simulating traffic interactions between on-ramp and main road. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.