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Study on Energy Dissipation and Fuel Consumption in Lattice Hydrodynamic Model under Traffic Control

Author

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  • Qi-Yun Wen
  • Yu Xue
  • Bing-Ling Cen
  • Yuan Tang
  • Mu-Yang Huang
  • Wei Pan
  • Can Huang

Abstract

A lattice hydrodynamic traffic model considering the average optimal flow of multiple grids downstream as a feedback control is proposed. The energy dissipation and fuel consumption are investigated under the feedback control based on the lattice hydrodynamic traffic model. Through linear stability analysis, the stability condition of the model is obtained. The mKdV equation and its kink-antikink density wave solution are derived by using the reduced perturbation method of nonlinear analysis. The variation trends of density wave, energy dissipation, and fuel consumption under traffic control are studied by numerical simulations. The research shows that exerting the feedback control can effectively suppress traffic congestion and improve the stability of traffic system. Meanwhile, it can also reduce the energy dissipation and fuel consumption of traffic system.

Suggested Citation

  • Qi-Yun Wen & Yu Xue & Bing-Ling Cen & Yuan Tang & Mu-Yang Huang & Wei Pan & Can Huang, 2022. "Study on Energy Dissipation and Fuel Consumption in Lattice Hydrodynamic Model under Traffic Control," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-12, June.
  • Handle: RePEc:hin:jnlmpe:4200588
    DOI: 10.1155/2022/4200588
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