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Lattice hydrodynamic model based traffic control: A transportation cyber–physical system approach

Author

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  • Liu, Hui
  • Sun, Dihua
  • Liu, Weining

Abstract

Lattice hydrodynamic model is a typical continuum traffic flow model, which describes the jamming transition of traffic flow properly. Previous studies in lattice hydrodynamic model have shown that the use of control method has the potential to improve traffic conditions. In this paper, a new control method is applied in lattice hydrodynamic model from a transportation cyber–physical system approach, in which only one lattice site needs to be controlled in this control scheme. The simulation verifies the feasibility and validity of this method, which can ensure the efficient and smooth operation of the traffic flow.

Suggested Citation

  • Liu, Hui & Sun, Dihua & Liu, Weining, 2016. "Lattice hydrodynamic model based traffic control: A transportation cyber–physical system approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 795-801.
    • Handle: RePEc:eee:phsmap:v:461:y:2016:i:c:p:795-801
    DOI: 10.1016/j.physa.2016.06.069
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    References listed on IDEAS

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    1. Nagatani, Takashi, 1998. "Modified KdV equation for jamming transition in the continuum models of traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 261(3), pages 599-607.
    2. Guanghan Peng, 2013. "A New Lattice Model Of Two-Lane Traffic Flow With The Consideration Of Multi-Anticipation Effect," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 24(07), pages 1-13.
    3. Tian, Jun-fang & Yuan, Zhen-zhou & Jia, Bin & Li, Ming-hua & Jiang, Guo-jun, 2012. "The stabilization effect of the density difference in the modified lattice hydrodynamic model of traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(19), pages 4476-4482.
    4. Gupta, Arvind Kumar & Redhu, Poonam, 2013. "Analyses of driver’s anticipation effect in sensing relative flux in a new lattice model for two-lane traffic system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(22), pages 5622-5632.
    5. Zhang, Geng & Zhao, Min & Sun, Di-Hua & Liu, Wei-Ning & Li, Hua-Min, 2016. "Stabilization effect of multiple drivers’ desired velocities in car-following theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 442(C), pages 532-540.
    6. Jun-Fang Tian & Zhen-Zhou Yuan & Bin Jia & Hong-Qiang Fan, 2013. "Phase Transitions And The Korteweg-De Vries Equation In The Density Difference Lattice Hydrodynamic Model Of Traffic Flow," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 24(03), pages 1-9.
    7. Ge, Hong-Xia & Cheng, Rong-Jun, 2008. "The “backward looking” effect in the lattice hydrodynamic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(28), pages 6952-6958.
    8. Guanghan Peng & Xinhua Cai & Changqing Liu & Binfang Cao, 2011. "A New Lattice Model Of Traffic Flow With The Consideration Of The Honk Effect," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 22(09), pages 967-976.
    9. Redhu, Poonam & Gupta, Arvind Kumar, 2016. "Effect of forward looking sites on a multi-phase lattice hydrodynamic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 445(C), pages 150-160.
    10. G. F. Newell, 1961. "Nonlinear Effects in the Dynamics of Car Following," Operations Research, INFORMS, vol. 9(2), pages 209-229, April.
    11. Ge, H.X. & Cheng, R.J. & Lei, L., 2010. "The theoretical analysis of the lattice hydrodynamic models for traffic flow theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(14), pages 2825-2834.
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    Cited by:

    1. Zhu, Chenqiang & Zhong, Shiquan & Li, Guangyu & Ma, Shoufeng, 2017. "New control strategy for the lattice hydrodynamic model of traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 445-453.
    2. Yongping Yang & Xiaoen Li & Zhiping Yang & Qing Wei & Ningling Wang & Ligang Wang, 2018. "The Application of Cyber Physical System for Thermal Power Plants: Data-Driven Modeling," Energies, MDPI, vol. 11(4), pages 1-16, March.
    3. Xue, Yanmei & Ren, Wen & Zheng, Bo-Chao & Han, Jinke, 2022. "Event-triggered adaptive sliding mode control of cyber-physical systems under false data injection attack," Applied Mathematics and Computation, Elsevier, vol. 433(C).

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