An improved car-following model considering the influence of optimal velocity for leading vehicle
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 1469-1478 |
| Journal / Publication | Nonlinear Dynamics |
| Volume | 85 |
| Issue number | 3 |
| Online published | 22 Apr 2016 |
| Publication status | Published - Aug 2016 |
Link(s)
Abstract
In the paper, an improved car-following model based on the full velocity difference model considering the influence of optimal velocity for leading vehicle on a single-lane road is proposed. The linear stability condition of the model is obtained by applying the linear stability theory. Through nonlinear analysis, the time-dependent Ginzburg–Landau (TDGL) equation and the modified Korteweg–de Vries (mKdV) equation are derived to describe the traffic flow near the critical point. In addition, the connection between the TDGL and the mKdV equations is also given. Good agreement between the simulation and the theoretical results shows that the improved model can be enhanced the stability of traffic flow.
Research Area(s)
- Car-following model, mKdV equation, Phase transition, TDGL equation, Traffic flow
Citation Format(s)
An improved car-following model considering the influence of optimal velocity for leading vehicle. / Fangxun, Liu; Rongjun, Cheng; Hongxia, Ge et al.
In: Nonlinear Dynamics, Vol. 85, No. 3, 08.2016, p. 1469-1478.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
