Skip to main content
SpringerLink
Log in

A modified control method for congested traffic in car-following model

  • Published:
International Journal of Dynamics and Control Aims and scope Submit manuscript

Abstract

In order to describe the car-following behavior more actually in real traffic, an extended car-following model incorporating the headway of arbitrary number of vehicles that precede and the relative velocity is proposed from the viewpoint of control. The stability condition of the extended model is obtained by using the linear stability theory. The modified control signal will play an effect only if the traffic is in congested state. The numerical simulations and results are in accordance with our theoretical analysis.

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

Access this article

Log in via an institution

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

Similar content being viewed by others

References

  1. Tang TQ, Li CY, Huang HJ, Shang HY (2012) A new fundamental diagram theory with the individual difference of the drivers perception ability. Nonlinear Dyn 67:2255–2265

    Article  Google Scholar 

  2. Li YF, Sun DH, Liu WN, Zhang M, Zhao M, Liao XY, Tang L (2011) Modeling and simulation for microscopic traffic flow based on multiple headway, velocity and acceleration difference. Nonlinear Dyn 66:15–28

    Article  MATH  MathSciNet  Google Scholar 

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

    Article  Google Scholar 

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

    Article  Google Scholar 

  5. Jiang R, Wu QS, Zhu ZJ (2001) Full velocity difference model for a car-following theory. Phys Rev E 64:017101-1–017101-4

    Article  Google Scholar 

  6. Ge HX, Cheng RJ, Li ZP (2008) Two velocity difference model for a car following theory. Physica A 387:5239–5245

  7. Konishi KJ, Kokame H, Hirata K (1998) Decentralized delayed-feedback control of a coupled map model for open flow. Phys Rev E 58:3055–3059

    Article  Google Scholar 

  8. Zhao XM, Gao ZY (2007) The stability analysis of the full velocity and acceleration velocity model. Physica A 375:679–686

    Article  Google Scholar 

  9. Han XL, Jiang CY, Ge HX, Dai SQ (2007) 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 (in Chinese)

  10. Shen FY, Zhang H, Ge HX, Yu HM, Lei L (2009) A control method for congested traffic in the coupled map car-following model. Chin Phys B 18:4208–4216

    Article  Google Scholar 

  11. Yu HM, Cheng RJ, Ge HX (2010) Consider backward effect in coupled map car-following model. Commun Theor Phys 54:117–122

    Article  MATH  Google Scholar 

  12. Ge HX, Cheng RJ, Li ZP (2011) Considering two-velocity difference effect for coupled map car-following model. Acta Phys Sin 60:080508

    Google Scholar 

  13. Ge HX, Yu J, Lo SM (2012) A control method for congested traffic in the car-following model. Chin Phys B 29:050502

    Google Scholar 

  14. Ge HX, Meng XP, Ma J, Lo SM (2012) An improved car-following model considering influence of other factors on traffic jam. Phys Lett A 377:9–12

    Article  Google Scholar 

  15. Ge HX, Dai SQ, Dong LY, Xue Y (2004) Stabilization effect of traffic flow in an extended car-following model based on an intelligent transportation system application. Phys Rev E 70:066134

    Article  Google Scholar 

Download references

Acknowledgments

Project supported by the National Natural Science Foundation of China (Grant Nos. 11262003 and 11372166, 11302125), Shanghai Science and Technology Commission (No.12PJ1404000), the Scientific Research Fund of Zhejiang Provincial, China (Grant No. LY13A010005) and the K.C. Wong Magna Fund in Ningbo University, China.

Author information

Authors and Affiliations

  1. College of Science and Technology, Ningbo University, Ningbo , 315211, China

    Jie Bao

  2. Faculty of Science, Ningbo University, Ningbo , 315211, China

    Yu Cui

  3. Logistics Research Center, Shanghai Maritime University, Shanghai , 200135, China

    Hong-di He

  4. Faculty of Maritime and Transportation, Ningbo University, Ningbo , 315211, China

    Peng-jun Zheng & Hong-xia Ge

Authors
  1. Jie Bao
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yu Cui
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Hong-di He
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Peng-jun Zheng
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Hong-xia Ge
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hong-xia Ge.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bao, J., Cui, Y., He, Hd. et al. A modified control method for congested traffic in car-following model. Int. J. Dynam. Control 3, 457–462 (2015). https://doi.org/10.1007/s40435-014-0097-2

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40435-014-0097-2

Keywords

Search

Navigation