Skip to main content
SpringerLink
Log in

Modeling and simulation for microscopic traffic flow based on multiple headway, velocity and acceleration difference

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

An Erratum to this article was published on 05 October 2011

Abstract

A new car-following model termed as multiple headway, velocity, and acceleration difference (MHVAD) is proposed to describe the traffic phenomenon, which is a further extension of the existing model of full velocity difference (FVD) and full velocity and acceleration difference (FVAD). Based on the stability analysis, it is shown that the critical value of the sensitivity in the MHVAD model decreases and the stable region is apparently enlarged, compared with the FVD model and other previous models. At the end, the simulation results demonstrate that the dynamic performance of the proposed MHVAD model is better than that of the FVD and FVAD models.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. Sandra, U.N., Christian, P., Roberto, W.C.: An effective memetic algorithm for the cumulative capacitated vehicle routing problem. Comput. Oper. Res. 37, 1877–1885 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  2. Zhang, H.Z., Cesar, B.R., Miguel, C.: Effective formulation reductions for the quadratic assignment problem. Comput. Oper. Res. 37, 2007–2016 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  3. Zhao, X.M., Gao, Z.Y.: Controlling traffic jams by a feedback signal. Eur. Phys. J. B 43, 565–572 (2005)

    Article  Google Scholar 

  4. David, J.L., Paul, S.A.: A nonlinear temporal headway model of traffic dynamics. Nonlinear Dyn. 16, 127–151 (1998)

    Article  MATH  Google Scholar 

  5. Xu, N., Shang, P., Kamae, S.: Modeling traffic flow correlation using DFA and DCCA. Nonlinear Dyn. 61, 207–216 (2010)

    Article  MATH  Google Scholar 

  6. Weng, Y.L., Wu, T.J.: Car-following model for vehicular traffic. J. Zhejiang Univ. Sci. 3(4), 412–417 (2002)

    Article  Google Scholar 

  7. Bando, M., Hasebe, K., Nakayama, A., Shibata, A., Sugiyama, Y.: Dynamics model of traffic congestion and numerical simulation. Phys. Rev. E, Stat. Nonlinear Soft Matter Phys. l(51), 1035–1042 (1995)

    Article  Google Scholar 

  8. Helbing, D., Tilch, B.: Generalized force model of traffic dynamics. Phys. Rev. E, Stat. Nonlinear Soft Matter Phys. 58, 133–138 (1998)

    Article  Google Scholar 

  9. Treiber, M., Hennecke, A.: Helbing D. Derivation, properties and simulation of a gas-kinetic-based nonlocal traffic model. Phys. Rev. E, Stat. Nonlinear Soft Matter Phys. 59, 239–253 (1999)

    Article  Google Scholar 

  10. Jiang, R., Wu, Q.S., Zhu, Z.J.: Full velocity difference model for a car-following theory. Phys. Rev. E, Stat. Nonlinear Soft Matter Phys. 64, 017101–017105 (2001)

    Article  Google Scholar 

  11. Jiang, R., Wu, Q.S., Zhu, Z.J.: A new continuum model for traffic flow and numerical tests. Transp. Res., Part B, Methodol. 36, 405–419 (2002)

    Article  Google Scholar 

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

    Article  Google Scholar 

  13. Zhao, X.M., Gao, Z.Y.: The stability analysis of the full velocity and acceleration difference model. Physica A 375, 679–686 (2007)

    Article  Google Scholar 

  14. 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, Stat. Nonlinear Soft Matter Phys. 70, 066134–066140 (2004)

    Article  Google Scholar 

  15. Wang, T., Gao, Z.Y., Zhao, X.M. Multiple velocity difference model and its stability analysis. Acta Phys. Sin. 55, 634–638 (2006)

    Google Scholar 

  16. Peng, G.H., Sun, D.H.: Multiple car-following model of traffic flow and numerical simulation. Chin. Phys. B 18(12), 5420–5430 (2009)

    Article  Google Scholar 

  17. Peng, G.H.: Stabilization analysis of multiple car-following model in traffic flow. Chin. Phys. B 19(5), 056401–056409 (2010)

    Article  Google Scholar 

  18. Xie, D.F., Zhao, Z.Y., Gao, X: Stabilization of traffic flow based on the multiple information of preceding cars. Commun. Comput. Phys. 3(4), 899–912 (2008)

    MathSciNet  Google Scholar 

  19. Sun, D.H., Li, Y.F., Tian, C.: Car-following model based on the information of multiple ahead & velocity difference. Syst. Eng. Theory Prac. 30(7), 1326–1332 (2010)

    MathSciNet  Google Scholar 

  20. Zhang, H.M.: Analysis of the stability and wave properties of a new continuum traffic theory. Transp. Res., Part B, Methodol. 33, 399–415 (1999)

    Article  Google Scholar 

  21. Tang, T.Q., Huang, H.J., Zhang, Y.: Stability analysis for traffic flow with perturbations. Int. J. Mod. Phys. C 19, 1367–1375 (2008)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. College of Automation, Chongqing University, Chongqing, 400044, China

    Yongfu Li, Dihua Sun, Min Zhang, Min Zhao, Xiaoyong Liao & Liang Tang

  2. College of Computer, Chongqing University, Chongqing, 400044, China

    Weining Liu

Authors
  1. Yongfu Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Dihua Sun
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Weining Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Min Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Min Zhao
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Xiaoyong Liao
    View author publications

    You can also search for this author in PubMed Google Scholar

  7. Liang Tang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yongfu Li.

Additional information

An erratum to this article can be found at http://dx.doi.org/10.1007/s11071-011-0236-7

Rights and permissions

Reprints and permissions

About this article

Cite this article

Li, Y., Sun, D., Liu, W. et al. Modeling and simulation for microscopic traffic flow based on multiple headway, velocity and acceleration difference. Nonlinear Dyn 66, 15–28 (2011). https://doi.org/10.1007/s11071-010-9907-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11071-010-9907-z

Keywords

Search

Navigation