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Research on preceding vehicle’s taillight effect and energy consumption in an extended macro traffic model

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  • Zhaoze, Liu
  • Rongjun, Cheng
  • Hongxia, Ge

Abstract

In this paper, a modified continuum model considering the vehicle’s taillight effect is presented. The high order fluid dynamics model of taillight effect is derived by means of the transformation from micro to macro. Combined with the continuous conservation equation of traffic flow, the linear and nonlinear analysis of the new macroscopic hydrodynamic model is carried out. The linear analysis proves that the model has the characteristics of heterogeneity and the stability condition of traffic flow is obtained. KdV–Burgers equations describing the qualitative characteristics of density waves are obtained by nonlinear analysis, and the corresponding density wave solutions are obtained. Numerical simulation results show that the unstable state region of the macro model with taillight effect is shrinking. In addition, the energy consumption of the model is simulated numerically, and the results show that the energy consumption of the vehicle is reduced by considering the taillight effect. Therefore, we believe that the taillight effect is beneficial to traffic flow stability and reduce energy consumption.

Suggested Citation

  • Zhaoze, Liu & Rongjun, Cheng & Hongxia, Ge, 2019. "Research on preceding vehicle’s taillight effect and energy consumption in an extended macro traffic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 304-314.
    • Handle: RePEc:eee:phsmap:v:525:y:2019:i:c:p:304-314
    DOI: 10.1016/j.physa.2019.03.051
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