Skip to main content
Log in

Two-dimensional cellular automaton traffic model with randomly switching traffic lights

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

Cellular automaton traffic models can include various factors in traffic systems and the corresponding computational simulations are rather simple and effective. The Biham-Middleton-Levine model (BML model) facilitates the simulation of two-dimentional traffic flow problems via the cellular automaton models. In this paper, the BML model is improved by removing its limitation of synchronized change of traffic lights. In the new model, the traffic light at each crossing could arbitrarily change its starting time and tempo of variation, and hence the model could more realistically describe the influence of traffic lights on the performance of traffic systems. Some new effects appearing in the new model are also elucidated.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. O. Biham, A. A. Middleton and D. Levine, Self-organization and a dynamical transition in traffic flow models,Phys. Rev., A46, 10 (1992), R6124-R6127.

    Article  Google Scholar 

  2. T. Nagatani, Jamming transition in the traffic flow model with two-level crossing,Phys. Rev., E48, 5 (1993), 3290–3294.

    Article  Google Scholar 

  3. J. A. Cuesta, F. C. Martinez, J. M. Molerae and A. Sanchez, Phase transition in two-dimensional traffic model,Phys. Rev., E48, 6 (1993), R4175-R4178.

    Article  Google Scholar 

  4. T. Nagatani, Effect of jam-avoiding turn on jamming transition in two-dimensional traffic model,J. Phys. Soc. Jpn.,63, 4 (1994), 1228–1231.

    Article  Google Scholar 

  5. G. Q. Gu, K. H. Chung and B. M. Hui, Two-dimensional traffic flow problems in inhomogeneous lattice,Physica, A217 (1995), 339–347.

    Article  Google Scholar 

  6. K. H. Chung, B. M. Hui and G. W. Gu, Two-dimensional traffic flow problems with faulty traffic lights,Phys. Rev., E51, 1 (1995), 772–774.

    Google Scholar 

  7. S. C. Benjamin, N. F. Johnson and B. M. Hui, Cellular automata models of traffic flow along a highway containing a junction,J. Phys., A29, 12 (1996), 3119–3127.

    Article  MATH  Google Scholar 

  8. G. Q. Gu, B. M. Fan and B. M. Hui, Cellular automaton model for traffic systems,Syst. Eng.-Theor. Meth. Appl.,14, 1 (1995), 12–17. (in Chinese)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Project supported by the Natural Science Foundation of Shanghai, China

Rights and permissions

Reprints and permissions

About this article

Cite this article

Guoqing, G., Poming, H., Binghong, W. et al. Two-dimensional cellular automaton traffic model with randomly switching traffic lights. Appl Math Mech 19, 807–813 (1998). https://doi.org/10.1007/BF02458235

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02458235

Key words

Navigation