Mathematical model of transportation flow dynamics on a multilane highway | Automation and Remote Control Skip to main content
Log in

Mathematical model of transportation flow dynamics on a multilane highway

  • System Analysis and Operations Research
  • Published:
Automation and Remote Control Aims and scope Submit manuscript

Abstract

We present a microscopic model for the dynamics of a transportation flow based on cellular automata with improved lane changing rules. With this model, we study the influence of crossing transportation flows on the throughput of a multilane highway. For a two-lane highway with an exit, we obtain space-time density diagrams for different distributions of exiting cars along the lanes. Our results indicate how important traffic control is for the throughput of automobile roads.

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

Access this article

Subscribe and save

Springer+ Basic
¥17,985 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (Japan)

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Nagel, K. and Schreckenberg, M., A Cellular Automaton Model for Freeway Traffic, J. Physique I., 1992, vol. 2, no. 12, pp. 2221–2229.

    Article  Google Scholar 

  2. Barlovic, R., Santen, L., Schadschneider, A., and Schreckenberg, M., Metastable States in Cellular Automata for Traffic Flow, Eur. Phys. J. B, 1998, vol. 5, no. 3, pp. 793–800.

    Article  Google Scholar 

  3. Knospe, W., Santen, L., Schadschneider, A., and Schreckenberg, M., Towards a Realistic Microscopic Description of Highway Traffic, J. Phys. A: Math. General, 2000, vol. 33, no. 1, pp. 477–485.

    Article  MathSciNet  Google Scholar 

  4. Kerner, B.S., Klenov, S.E., and Wolf, D.E., Cellular Automata Approach to Three-Phase Traffic Theory, J. Phys. A: Math. General, 2002, vol. 35, no. 47, pp. 9971–10013.

    Article  MathSciNet  MATH  Google Scholar 

  5. Kerner, B.S., and Klenov, S.E., Microscopic Theory of Spatial-Temporal Congested Traffic Patterns at Highway Bottlenecks, Phys. Rev. E, 2003, vol. 68, no. 3, p. 036130.

    Article  Google Scholar 

  6. Kerner, B.S. and Klenov, S.E., Phase Transitions in Traffic Flow on Multilane Roads, Phys. Rev. E, 2009, vol. 80, no. 5, p. 056101.

    Article  Google Scholar 

  7. Rickert, M., Nagel, K., Schreckenberg, M., and Latour, A., Two Lane Traffic Simulations Using Cellular Automata, Physica A, 1995, vol. 231, no. 4, pp. 534–550.

    Article  Google Scholar 

  8. Wagner, P., Nagel, K., and Wolf, D., Realistic Multi-Lane Traffic Rules for Cellular Automata, Physica A, 1997, vol. 234, nos. 3–4, pp. 687–698.

    Article  Google Scholar 

  9. Nagel, K., Wolf, D.E., Wagner, P., and Simon, P., Two-Lane Traffic Rules for Cellular Automata: A Systematic Approach, Phys. Rev. E, 1997, vol. 58, no. 2, pp. 1425–1437.

    Article  Google Scholar 

  10. Knospe, W., Santen, L., Schadschneider, A., and Schreckenberg, M., A Realistic Two-Lane Traffic Model for Highway Traffic, J. Phys. A: Math. General, 2002, vol. 35, no. 15, pp. 3369–3388.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © D.S. Mazurin, 2013, published in Avtomatika i Telemekhanika, 2013, No. 5, pp. 156–166.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mazurin, D.S. Mathematical model of transportation flow dynamics on a multilane highway. Autom Remote Control 74, 845–852 (2013). https://doi.org/10.1134/S0005117913050081

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0005117913050081

Keywords

Navigation