Impact of driver prediction with density deviation and anticipation in lattice hydrodynamic model with passing

Abstract

Abstract This paper presents an integral lattice hydrodynamic model to examine the
impact of driver’s anticipation, driving prediction with density deviation of
leading vehicle and considering the passing behavior. Both linear and non-
linear investigations have been used to obtain the stability condition and
“modified Korteweg-de Vries (mKdV)” equation, respectively. The linear
stability condition shows that the stable region can be increased by decreas-
ing the coefficient of predicted density deviation. Additionally, the stable
region expands with a positive value of driver anticipation but contracts with
a negative value. The mKdV equation describe the propagating behavior of
traffic density wave near the critical points. In comparison of the Nagatani
and Redhu models, it is observed that for fixed value of density deviation
coefficient, this new model conveys a greater stability zone. To verify the
theoretical findings, “numerical simulation” has been conducted to examine
the traffic flow evolves in the presence of a small disturbances. The ana-
lytical results have been discussed for different passing rate with fixed value
of driver’s anticipation α and different values of density deviation coefficient
β. Furthermore, it has been noted that the stable region decreases for all
passing rates when a driver becomes more aware of the average speed of
any neighbouring vehicles. The obtained results in this paper show that the
traffic behavior with the existing model is more realistic. Additionally, this
model effectively boosts vehicle movement efficiency, reducing congestion and
enhances road safety