The “backward-looking” effect in the continuum model considering a new backward equilibrium velocity function

Md Anowar Hossain, Jun Tanimoto

研究成果: Contribution to journalArticle査読

抄録

In this paper, a new continuum traffic model is developed considering the backward-looking effect through a new positive backward equilibrium speed function. As compared with the conventional full velocity difference model, the backward equilibrium velocity function, which is largely acceptably grounded from mathematical and physical perspectives, plays an important role in significantly enhancing the stability of the traffic flow field. A linear stability condition is derived to demonstrate the flow neutralization capacity of the model, whereas the Korteweg–de Vries–Burgers equation and the attendant analytical solution are deduced using nonlinear analysis to observe the traffic flow behavior near the neutral stability condition. A numerical simulation, used to determine the flow stability enhancement efficiency of the model, is also conducted to verify the theoretical results.

本文言語英語
ジャーナルNonlinear Dynamics
DOI
出版ステータス受理済み/印刷中 - 2021

All Science Journal Classification (ASJC) codes

  • 制御およびシステム工学
  • 航空宇宙工学
  • 海洋工学
  • 機械工学
  • 電子工学および電気工学
  • 応用数学

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