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Nonlinear Dynamics

, Volume 86, Issue 1, pp 269–282 | Cite as

Effect of explicit lane changing in traffic lattice hydrodynamic model with interruption

  • Di-Hua Sun
  • Geng Zhang
  • Wei-Ning Liu
  • Min Zhao
  • Sen-Lin Cheng
  • Tong Zhou
Original Paper

Abstract

In this paper, the explicit lane changing effect for two-lane traffic system with interruption is studied based on lattice hydrodynamic model. Through linear stability analysis, the neutral stability criterion for the two-lane traffic system is derived, and the density–sensitivity space is divided into the stable and unstable regions by the neutral stability curve. By applying nonlinear reductive perturbation method, the Burgers equation and modified Korteweg–de Vries (mKdV) equation are obtained to depict the density waves in the stable and unstable regions, respectively. Numerical simulations confirm the theoretical results showing that the traffic characteristics in the stable and unstable regions can be described respectively by the triangular shock waves of the Burgers equation and the kink–antikink solution of the mKdV equation. Also it is proved that lane changing can average the traffic situation of each lane for two-lane traffic system and enhance the stability of traffic flow, but traffic interruption of the current lattice can deteriorate the stable level of traffic flow and easily result in traffic congestion.

Keywords

Traffic flow Lattice hydrodynamic model Lane changing effect Traffic interruption Burgers equation mKdV equation 

Notes

Acknowledgments

This work was supported by the National Natural Science Foundation of China (Grant No. 61573075), the 2015 Chongqing University Postgraduates’ Innovation Project, the Fundamental Research Funds for the Central Universities (Grant No. 106112014CDJZR178801), the China Postdoctoral Science Foundation (Grant No. 2015M572450), the Major Projects of Chongqing “151” Science and Technology (Grant No. cstc2013jcsf-zdzxqqX0003), the Scientific and Technological Research Program of Chongqing Municipal Education Commission (Grant No. KJ1503301), and the Chongqing Postdoctoral Science Special Foundation (Grant No. Xm2015056).

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Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  • Di-Hua Sun
    • 1
    • 2
  • Geng Zhang
    • 1
    • 2
  • Wei-Ning Liu
    • 1
    • 3
  • Min Zhao
    • 1
    • 2
  • Sen-Lin Cheng
    • 1
    • 2
  • Tong Zhou
    • 1
    • 3
    • 4
  1. 1.Key Laboratory of Dependable Service Computing in Cyber Physical Society of Ministry of EducationChongqing UniversityChongqingChina
  2. 2.College of AutomationChongqing UniversityChongqingChina
  3. 3.College of Computer ScienceChongqing UniversityChongqingChina
  4. 4.School of Information EngineeringChongqing Vocational Institute of EngineeringChongqingChina

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