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The effect of driver’s characteristics on the stability of traffic flow under honk environment

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Abstract

A modified optimal velocity model is proposed by considering the timid or aggressive characteristics of drivers behavior on traffic flow. The effect of driver’s characteristic on the stability of traffic flow under honk environment is examined through linear stability analysis. It is shown that the parameters related to driver’s characteristics and honk effect all have significant impact on the stability of traffic flow. Precisely, the timid driver is more beneficial to improve the stability of the traffic flow than the aggressive one under honk environment; moreover, the more skillful driver is more advantageous to improve the stability of traffic situation under the same honk environment for the same driver’s characteristics. Finally, many simulation results are found consistent with the theoretical findings which confirm that the drivers characteristics play a significant role on traffic flow dynamics.

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References

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

    Article  Google Scholar 

  2. Helbing, D., Tilch, B.: Generalized force model of traffic dynamics. Phys. Rev. E 58, 133–138 (1998)

    Article  Google Scholar 

  3. Jiang, R., Wu, Q., Zhu, Z.: Full velocity difference model for a car-following theory. Phys. Rev. E 64, 017101 (2001)

    Article  Google Scholar 

  4. Nakayama, A., Sugiyama, Y., Hasebe, K.: Effect of looking at the car that follows in an optimal velocity model of traffic flow. Phys. Rev. E 65, 016112 (2001)

    Article  Google Scholar 

  5. Li, X., Li, Z., Han, X., Dai, S.: Effect of the optimal velocity function on traffic phase transitions in lattice hydrodynamic models. Commun. Nonliear Sci. Numer. Simul. 14, 2171–2177 (2009)

  6. Tang, T.Q., Li, C.Y., Wu, Y.H., Huang, H.J.: Impact of the honk effect on the stability of traffic flow. Phys. A 390, 3362–3368 (2011)

    Article  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  8. Davis, L.C.: Modifications of the optimal velocity traffic model to include delay due to driver reaction time. Phys. A 319, 557–567 (2003)

    Article  MATH  Google Scholar 

  9. Peng, G.H., Sun, D.H.: A dynamical model of car-following with the consideration of the multiple information of preceding cars. Phys. Lett. A 374, 1694–1698 (2010)

    Article  MATH  Google Scholar 

  10. Tang, T., Wang, Y., Yang, X., Wu, Y.: A new car-following model accounting for varying road condition. Nonlinear Dyn. 70, 1397–1405 (2012)

    Article  MathSciNet  Google Scholar 

  11. Nagatani, T.: Density waves in traffic flow. Phys. Rev. E 61, 3564–3570 (1999)

    Article  Google Scholar 

  12. Zhao, X., Gao, Z.: A new car-following model: full velocity and acceleration difference model. Eur. Phys. J. B 47, 145–150 (2005)

    Article  Google Scholar 

  13. Tang, T., Shi, W., Shang, H., Wang, Y.: A new car-following model with consideration of inter-vehicle communication. Nonlinear Dyn. 76, 2017–2023 (2014)

    Article  Google Scholar 

  14. Tang, T.Q., Li, C.Y., Huang, H.J.: A new car-following model with the consideration of the drivers forecast effect. Phys. Lett. A 374, 3951–3956 (2010)

    Article  MATH  Google Scholar 

  15. Kerner, B.S., Klenov, S.L., Hermanns, G., Schreckenberg, M.: Effect of driver over-acceleration on traffic breakdown in three-phase cellular automaton traffic flow models. Phys. A 392, 4083–4105 (2013)

    Article  MathSciNet  Google Scholar 

  16. Sharma, S.: Lattice hydrodynamic modeling of two-lane traffic flow with timid and aggressive driving behavior. Phys. A 421, 401–411 (2015)

    Article  Google Scholar 

  17. Kang, Y.-R., Sun, D.-H.: Lattice hydrodynamic traffic flow model with explicit drivers physical delay. Nonlinear Dyn. 71, 531–537 (2013)

    Article  MathSciNet  Google Scholar 

  18. Chen, D., Ahn, S., Laval, J., Zheng, Z.: On the periodicity of traffic oscillations and capacity drop: the role of driver characteristics. Transp. Res. Part B 59, 117–136 (2014)

    Article  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  20. Zhang, H.M., Kim, T.: A car-following theory for multiphase vehicular traffic flow. Transp. Res. Part B 39, 385–399 (2005)

    Article  Google Scholar 

  21. Tang, T., Li, C., Huang, H., Shang, H.: A new fundamental diagram theory with the individual difference of the drivers perception ability. Nonlinear Dyn. 67, 2255–2265 (2012)

    Article  Google Scholar 

  22. Sharma, S.: Effect of drivers anticipation in a new two-lane lattice model with the consideration of optimal current difference. Nonlinear Dyn. 81, 991–1003 (2015)

  23. Gupta, A.K., Redhu, P.: Analyses of drivers anticipation effect in sensing relative flux in a new lattice model for two-lane traffic system. Phys. A 392, 5622–5632 (2013)

    Article  Google Scholar 

Download references

Acknowledgments

The study is supported by the National Natural Science Foundation of China (Nos. 51578247, 11501216), Science and Technology Plan Project of Guangdong Province (2013B010401009), China Postdoctoral Science Foundation Funded Project (2015M570716).

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Authors and Affiliations

  1. School of Civil Engineering and Transportation, South China University of Technology, Guangzhou, 510640, China

    Huiying Wen, Ying Rong & Weiwei Qi

  2. School of Mathematics, South China University of Technology, Guangzhou, 510640, China

    Caibin Zeng

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  1. Huiying Wen
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  2. Ying Rong
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  3. Caibin Zeng
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  4. Weiwei Qi
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Correspondence to Ying Rong.

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Wen, H., Rong, Y., Zeng, C. et al. The effect of driver’s characteristics on the stability of traffic flow under honk environment. Nonlinear Dyn 84, 1517–1528 (2016). https://doi.org/10.1007/s11071-015-2585-0

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  • DOI: https://doi.org/10.1007/s11071-015-2585-0

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