Abstract:
In this paper, we studied the effect of
driver’s anticipation with passing in a new lattice
model. The effect of driver’s anticipation is examined
through linear stability analysis and shown that
the anticipation term can significantly enlarge the stability
region on the phase diagram. Using nonlinear
stability analysis, we obtained the range of passing
constant for which kink soliton solution of mKdV
equation exist. For smaller values of passing constant,
uniform flow and kink jam phase are present on the
phase diagram and jamming transition occurs between
them. When passing constant is greater than the critical
value depending on the anticipation coefficient,
jamming transitions occur from uniform traffic flow
to kink-bando traffic wave through chaotic phase with
decreasing sensitivity. The theoretical findings are verified
using numerical simulation which confirm that
traffic jam can be suppressed efficiently by considering
the anticipation effect in the new lattice model.
