Skip to main content
Log in

Impact of driving aggressiveness on the traffic stability based on an extended optimal velocity model

  • Original Paper
  • Published:
Nonlinear Dynamics Aims and scope Submit manuscript

Abstract

The drivers in actual traffic differ in the aggressiveness in driving behaviors, which will finally be reflected in the interaction between vehicles and fluctuations in flows. In this paper, we try to study the effect of driving aggressiveness on the traffic stability by proposing an extended microscopic car-following model, in which the optimal velocity is reconstructed to divide the drivers in traffic system into two groups according to driving aggressiveness of each individual. The stability condition of the proposed model is derived to explore its ability against a small perturbation by use of the linear stability theory. We obtain the neutral stability lines for different percentages of drivers with a higher driving aggressiveness, finding that the traffic flow trends to stable with the increase in the percentage for higher driving aggressiveness drivers when the average headway is less than a critical value or greater than another critical value, but when the average headway falls into the intermediate range between the two critical values, the traffic flow becomes more and more unstable with increase in the percentage of drivers with a higher driving aggressiveness. Finally, numerical simulations are conducted to verify these theoretical results and examine how the percentage of vehicles driven by higher driving aggressiveness drivers affects the traffic flux of the vehicle system.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9

Similar content being viewed by others

References

  1. Greenberg, H.: An analysis of traffic flow. Oper. Res. 7, 86–106 (1959)

    Article  Google Scholar 

  2. Helbing, D.: Fundamentals of traffic flow. Phys. Rev. E 55, 3735–3738 (1997)

    Article  Google Scholar 

  3. Payne, Harold J.: Models of freeway traffic and control. Math. Methods Public Syst. 1, 51–61 (1971)

    Google Scholar 

  4. Kerner, B.S., Rehborn, H.: Experimental properties of phase transitions in traffic flow. Phys. Rev. Lett. 79, 4030–4033 (1997)

    Article  Google Scholar 

  5. Gavrilov, K.L.: Microstructure and microdynamics of uninterrupted traffic flow. Phys. Rev. E 56, 4860–4863 (1997)

    Article  Google Scholar 

  6. Nagatani, T., Nakanishi, K.: Delay effect on phase transitions in traffic dynamics. Phys. Rev. E 57, 6415–6421 (1998)

    Article  Google Scholar 

  7. Bando, M., Hasebe, K., Nakayama, A.: Dynamical model of traffic congestion and numerical simulation. Phys. Rev. E 51, 1035–1042 (1995)

    Article  Google Scholar 

  8. Nagatani, T.: Vehicular traffic through a self-similar sequence of traffic lights. Phys. A 386, 381–387 (2007)

    Article  Google Scholar 

  9. Ge, H.X., Dai, S.Q., Dong, L.Y., Xue, Y.: Stabilization effect of traffic flow in an extended car-following model based on an intelligent transportation system application. Phys. Rev. E 70, 066134 (2004)

    Article  MATH  Google Scholar 

  10. Ge, H.X., Meng, X.P., Ma, J., Lo, S.M.: An improved car-following model considering influence of other factors on traffic jam. Phys. Lett. A 377, 9–12 (2012)

    Article  Google Scholar 

  11. Li, X.L., Song, T., Kuang, H., Dai, S.Q.: Phase transition on speed limit traffic with slope. Chin. Phys. B 17, 3014–3020 (2008)

    Article  Google Scholar 

  12. Li, X.L., Kuang, H., Song, T., Dai, S.Q., Li, Z.P.: New insights into traffic dynamics: a weighted probabilistic cellular automaton model. Chin. Phys. B 17, 2366–2372 (2008)

    Article  Google Scholar 

  13. Cheng, R.J., Li, Z.P., Zheng, P.J., Ge, H.X.: The theoretical analysis of the anticipation lattice models for traffic flow. Nonlinear Dyn 76, 725–731 (2014)

    Article  MathSciNet  Google Scholar 

  14. Peng, G.H., Cheng, R.J.: A new car-following model with the consideration of anticipation optimal velocity. Phys. A 392, 3563–3569 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  15. Han, X.L., Ouyang, C., Song, T., Dai, S.S.: The homotopy analysis method for a class of jamming transition problem in traffic flow. Acta Phys. Sin. 62, 170203 (2013)

    Google Scholar 

  16. Han, X.L., Jiang, C.Y., Ge, H.X., Dai, S.Q.: A modified coupled map car-following model based on application of intelligent transportation system and control of traffic congestion. Acta Phys. Sin. 56, 4383–4392 (2007)

    Google Scholar 

  17. Tian, H.H., Xue, Y., Kan, S.J., Liang, Y.J.: Study on the energy consumption using the cellular automaton mixed traffic model. Acta Phys. Sin. 58, 4506–4513 (2009)

    Google Scholar 

  18. Peng, G.H., Sun, D.H.: Multiple car-following model of traffic flow and numerical simulation. Chin. Phys. B 18, 5420–5430 (2009)

    Article  Google Scholar 

  19. Wei, S., Yu, X.: Study on stability and energy consumption in typical car-following models. Phys. A 381, 399–406 (2007)

    Article  Google Scholar 

  20. Treiber, M., Hennecke, A., Helbing, D.: Congested traffic states in empirical observations and microscopic simulations. Phys. Rev. E 62, 1805–1824 (2000)

    Article  Google Scholar 

  21. Chowdhury, D., Santen, L., Schadschneider, A.: Statistical physics of vehicular traffic and some related systems. Phys. Rep. 329, 199–329 (2000)

    Article  MathSciNet  Google Scholar 

  22. Wu, C.X., Zhang, P., Wong, S.C.: Steady-state traffic flow on a ring road with up- and down-slopes. Phys. A 403, 85–93 (2014)

    Article  MathSciNet  Google Scholar 

  23. Zhu, W.X., Yu, R.L.: A new car-following model considering the related factors of a gyroidal road. Phys. A 393, 101–111 (2014)

    Article  MathSciNet  Google Scholar 

  24. Nagatani, T.: Multiple jamming transitions in traffic flow. Phys. A 290, 501–511 (2001)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgments

This work was supported by the Natural Science Foundation of China under Grant No. 61202384, the Fundamental Research Funds for the Central Universities under Grant No. 0800219198, the Natural Science Foundation of Shanghai under Grant No. 12ZR1433900, the National High Technology Research and Development Program of China under Grant No. 2012AA112801, and the Scientific Research and Development Program of China Railway Corporation under Grant No. 2013X016-B.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhipeng Li.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, Z., Liu, L., Xu, S. et al. Impact of driving aggressiveness on the traffic stability based on an extended optimal velocity model. Nonlinear Dyn 81, 2059–2070 (2015). https://doi.org/10.1007/s11071-015-2125-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11071-015-2125-y

Keywords

Navigation