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

Liu Zhaoze, Cheng Rongjun and Ge Hongxia

Physica A: Statistical Mechanics and its Applications, 2019, vol. 525, issue C, 304-314

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.

Keywords: Traffic flow; Continuum model; KdV–Burgers equation; Vehicle’s taillight effect; Energy consumption (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:525:y:2019:i:c:p:304-314

DOI: 10.1016/j.physa.2019.03.051

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