A stopped time dependent randomization cellular automata model for traffic flow controlled by traffic light

Modelling road traffic behavior using cellular automata has become a well-established method to analyze, understand, and even forecast the behavior of real road traffic, because the automata's evolution rules are simple, computationally efficient. In this paper, we presented a new model. In this model, the randomization probability is defined to be function of the stopped time of the vehicle: the longer the vehicle stops, the larger the randomization probability is. This means that the sensitivity of the drivers depends on the stopped time. The simulations show that although the fundamental diagram of the new model is similar to that of Nagel–Schreckenberg model, the saturated current depends on the cycle time of traffic light. We have explained the dependence of saturated current on cycle time and made the outlook of the future work. Our results indicate that we can adjust the cycle time of the traffic lights to enhance the road capacity.

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

[2]  A Schadschneider,et al.  Optimizing traffic lights in a cellular automaton model for city traffic. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  Takashi Nagatani,et al.  Fluctuation and transition of vehicular traffic through a sequence of traffic lights , 2005 .

[4]  Takashi Nagatani,et al.  Bunching and transition of vehicles controlled by a sequence of traffic lights , 2005 .

[5]  J A Valdivia,et al.  Modeling traffic through a sequence of traffic lights. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

[7]  Takashi Nagatani,et al.  Chaos and Dynamical Transition of a Single Vehicle Induced by Traffic Light and Speedup , 2005 .

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

[9]  Takashi Nagatani,et al.  Self-similar behavior of a single vehicle through periodic traffic lights , 2005 .

[10]  A. Schadschneider,et al.  Metastable states in cellular automata for traffic flow , 1998, cond-mat/9804170.

[11]  Ding-wei Huang,et al.  Traffic signal synchronization. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

[13]  Shlomo Havlin,et al.  Optimization of congested traffic by controlling stop-and-go waves. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  Takashi Nagatani,et al.  Transition and saturation of traffic flow controlled by traffic lights , 2003 .

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