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

Abstract

In this paper, an extended car-following model is proposed to simulate traffic flow by considering the honk effect. The stability condition of this model is obtained by using the linear stability analysis. The phase diagram shows that the honk effect plays an important role in improving the stabilization of traffic system. The mKdV equation near the critical point is derived to describe the evolution properties of traffic density waves by applying the reductive perturbation method. Furthermore, the numerical simulation is carried out to validate the analytical results and indicates that the traffic jam can be suppressed efficiently via taking into account the honk effect.

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

“…This continuum model is developed based on the concept of the backward-looking effect [37,38]. The dynamical equation of the FVD model with the backward-looking effect is as follows:…”

“…Although considering the backward OV as a negative function of the forward OV [36,40,41], except for one or two outstanding works [37,38], a great number of backward-looking car-following models have been proposed. Similarly, in designing a continuum model for the backward-looking effect, the pioneering models regarded the backward equilibrium as a negative function of the forward equilibrium function, which is seen as unrealistic [39,42,43].…”

“…Although the BLOV car-following model is largely heralded from a real-life viewpoint, the model has several crucial drawbacks in terms of formulating the backward OV function, which is defined by a negative function that is regarded as unrealistic. To overcome this drawback, various robust car-following models have been proposed [37,38] with the incorporation of a new backward OV function as a positive function, which inevitably increases the stability of the flow field. Here, Zhaoze et al [39] proposed a continuum traffic model based on the BLOV model, wherein the backward equilibrium speed is quantified by a negative function, which is regarded as unacceptable from a mathematical viewpoint.…”

An Improved Lattice Hydrodynamic Model by considering the Effect of “Backward-Looking” and Anticipation Behavior

“…With the rapid development of wireless technologies and intelligent vehicles in the past years, the vehicle-to-vehicle (V2V) communication [1,2] can not only alleviate the congested traffic flow but also provide pleasurable driving experiences. To reveal the realistic traffic phenomena, there have emerged various traffic models such as car-following models [3][4][5][6][7][8][9][10], cellular automation models [11,12], macrotraffic models [13][14][15], lattice hydrodynamic models [16][17][18][19][20][21], continuum models [22][23][24], and gas kinetic models [25].…”

The Stability of Traffic Flow on Two Lanes Incorporating Driver’s Characteristics Corresponding to Honk Effect Under V2X Environment

“…The associate editor coordinating the review of this manuscript and approving it for publication was M. Saif Islam . models [37]- [41] with the consideration of the honk effect. Very recently, Peng et al [42], [43] brought forward two extended lattice models with the consideration of the honk effect for single lane and two-lane highway.…”