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An extended car-following model by considering the optimal velocity difference and electronic throttle angle

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  • Yan, Chunyue
  • Ge, Hongxia
  • Cheng, Rongjun

Abstract

An extended car-following model is proposed by considering the influence of the optimal velocity difference and electronic throttle angle feedback from preceding vehicles. Stability conditions of the new model are gained via linear stability analysis. The time-dependent Ginzburg–Landau (TDGL) equation and the modified Korteweg–de Vries (mKdV) equation are inferred by nonlinear analysis. Furthermore, the relationships between the two nonlinear equations are also given. Numerical simulations are also carried out to explore how optimal velocity difference and electronic throttle angle influence the stability of traffic flow, which show that the new model can effectively stabilize traffic flow, which are consistent with the results of theoretical results.

Suggested Citation

  • Yan, Chunyue & Ge, Hongxia & Cheng, Rongjun, 2019. "An extended car-following model by considering the optimal velocity difference and electronic throttle angle," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    • Handle: RePEc:eee:phsmap:v:535:y:2019:i:c:s0378437119312853
    DOI: 10.1016/j.physa.2019.122216
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    References listed on IDEAS

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