An Extended Optimal Velocity Model with Consideration of Honk Effect

Abstract

Based on the OV (optimal velocity) model, we in this paper present an extended OV model with the consideration of the honk effect. The analytical and numerical results illustrate that the honk effect can improve the velocity and flow of uniform flow but that the increments are relevant to the density.

An extended car-following model accounting for the honk effect and numerical tests

“…Thus, it is necessary to consider the honk effect to analyze the car-following behavior. Recently, Tang et al [38] developed an extended the OV model with the honk effect, which shows that the honk effect can enhance the equilibrium velocity and flow when the traffic density is moderate. Thereafter, Tang et al [39] further presented an improved car-following model to explore the impacts of the honk effect on the stability of traffic flow.…”

Lattice hydrodynamic model based delay feedback control of vehicular traffic flow considering the effects of density change rate difference

“…To understand the complex mechanism behind the traffic phenomenon, various traffic flow models including the microscopic and macroscopic models have been proposed. At the microscopic level, car-following models are used to describe the interactions between each pair of leading and following vehicles, and many related achievements have been obtained [1][2][3][4][5][6][7][8][9][10][11][12][13][14]; while at the macroscopic level, lattice hydrodynamic models have drawn considerable attention recently [15][16][17][18][19][20][21][22][23][24]. An important issue of traffic study is to avoid traffic jam and make the traffic flow move homogeneously.…”

A two-lane lattice hydrodynamic model considering multiple information of preceding cars

“…This has attracted many researchers to propose various effective models to study the mechanism of traffic congestion and alleviate traffic, as well as save energy. Just like fluid-dynamic models [1][2][3], gaskinetic models [4,5], car-following models [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20], cellular automaton models [21,22], and lattice hydrodynamic models [23][24][25][26][27][28][29][30][31][38][39][40], the lattice hydrodynamic model is a discrete version of the hydrodynamic model, which was first proposed by Nagatani [23] in 1998 to study the density waves of traffic flow. Later, many extended models considering different factors [24][25][26][27][28][29][30] were developed to improve traffic flow.…”