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A new car-following model considering driver’s individual anticipation behavior

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Abstract

In this paper, a new car-following model of traffic flow is proposed by considering the driver’s individual anticipation behavior (forecast behavior and response delay behavior). The effect of anticipation parameters corresponding to the individual differences upon the stability of traffic flow is examined through linear stability analysis. The simulation results are in good agreement with the theoretical analysis and confirm that traffic flow can be stabilized efficiently by drivers’ forecast effect (positive anticipation parameter) and, nevertheless, be destabilized by drivers’ physical delay effect (negative anticipation parameter). Thus, the two aspects of drivers’ individual anticipation behavior play an important role in stabilizing or destabilizing the traffic system, respectively.

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References

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

    Article  Google Scholar 

  2. Ge, H.X., Dai, S.Q., Xue, Y., Dong, L.Y.: Stabilization analysis and modified Korteweg–de Vries equation in a cooperative driving system. Phys. Rev. E 71, 066119 (2005)

    Article  MathSciNet  Google Scholar 

  3. Ge, H.X., Zhu, H.B., Dai, S.Q.: Effect of looking backward on traffic flow in a cooperative driving car following model. European Physics Journal B. 54, 503–507 (2006)

    Article  Google Scholar 

  4. Hasebe, K., Nakayama, A., Sugiyama, Y.: Dynamical model of a cooperative driving system for freeway traffic. Phys. Rev. E 68, 026102 (2003)

    Article  Google Scholar 

  5. Li, Z.P., Liu, Y.C.: Analysis of stability and density waves of traffic flow model in an ITS environment. Eur. Phy. J. B 53, 367–374 (2006)

    Article  MATH  Google Scholar 

  6. Wang, T., Gao, Z.Y., Zhao, X.M.: Multiple velocity difference model and its stability analysis. Acta Phys. Sin. 55, 634–640 (2006)

    Google Scholar 

  7. Ge, H.X., Cheng, R.J., Li, Z.P.: Two velocity difference model for a car following theory. Phys. A. 387, 5239–5245 (2008)

    Article  Google Scholar 

  8. Jin, S., Wang, D.H., Tao, P.F., Li, P.F.: Non-lane-based full velocity difference car following model. Phys. A 389, 4654–4662 (2010)

    Article  Google Scholar 

  9. Yu, L., Shi, Z.K., Zhou, B.C.: Kink–antikink density wave of an extended car-following model in a cooperative driving system. Commun. Nonlinear Sci. Numer. Simul. 13, 2167–2176 (2008)

    Article  Google Scholar 

  10. 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 

  11. Li, Y.F., Sun, D.H., Liu, W.N., Zhang, M., Zhao, M., Liao, X.Y., Tang, L.: Modeling and simulation for microscopic traffic flow based on multiple headway, velocity and acceleration difference. Nonlinear Dyn. 66, 15–28 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  12. Tang, T.Q., Li, C.Y., Huang, H.J.: A new car-following model with the consideration of the driver’s forecast effect. Phys. Lett. A 374, 3951–3956 (2010)

    Article  MATH  Google Scholar 

  13. Peng, G.H.: A new lattice model of the traffic flow with the consideration of the driver anticipation effect in a two-lane system. Nonlinear Dyn. 73, 1035–1043 (2013)

    Article  MATH  Google Scholar 

  14. Tang, T.Q., Huang, H.J., Shang, H.Y.: A new macro model for traffic flow with the consideration of the driver’s forecast effect. Phys. Lett. A 374, 1668–1672 (2010)

  15. Ge, H.X., Lv, F., Zheng, P.J., Cheng, R.J.: The time-dependent Ginzburg–Landau equation for car-following model considering anticipation-driving behavior. Nonlinear Dyn. 76, 1497–1501 (2014)

    Article  Google Scholar 

  16. 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 

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

    Article  Google Scholar 

  18. Jiang, R., Wu, Q.S., Zhu, Z.J.: Full velocity difference model for a car-following theory. Phys. Rev. E 64, 017101–017104 (2001)

    Article  Google Scholar 

  19. Li, Z.P., Liu, Y.C.: A velocity-difference-separation model for car-following theory. Chin. Phys. B 15, 1570–1576 (2006)

    Article  Google Scholar 

  20. Jiang, R.: Study on the complex dynamic properties of traffic flow from the Micro and Macro modeling. J. Grad Sch. Chin. Acad. Sci. 23, 848–854 (2006)

    Google Scholar 

Download references

Acknowledgments

This work is supported by the Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20090191110022), the Natural Science Foundation Project of CQ CSTC of China (Grant No. CSTC2012JJB40002), the Natural Science Foundation of Guangxi Zhuang Autonomous Region (No. 2013GXNSFAA019347), and the Research Foundation of Education Bureau of Guangxi Zhuang Autonomous Region (201203YB129, Nos. 2013LX088 and KY2015YB166).

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Authors and Affiliations

  1. College of Automation, Chongqing University, Chongqing, 400030, China

    Kang Yi-Rong & Sun Di-Hua

  2. Key Laboratory of Dependable Service Computing in Cyber Physical Society (Chongqing University), Ministry of Education, Chongqing, 400030, China

    Kang Yi-Rong & Sun Di-Hua

  3. School of Computer Science, Guangxi University of Science and Technology, Liuzhou, 545006, China

    Yang Shu-Hong

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  1. Kang Yi-Rong
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  2. Sun Di-Hua
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Correspondence to Kang Yi-Rong.

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Yi-Rong, K., Di-Hua, S. & Shu-Hong, Y. A new car-following model considering driver’s individual anticipation behavior. Nonlinear Dyn 82, 1293–1302 (2015). https://doi.org/10.1007/s11071-015-2236-5

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  • DOI: https://doi.org/10.1007/s11071-015-2236-5

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