Improved Car-Following Model Considering Modified Backward Optimal Velocity and Velocity Difference with Backward-Looking 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.…”

Linear stability analysis of an improved car-following model considering vehicle's inertia effect

“…Microscopic models depict traffic flow dynamics at a high degree of detail, while macroscopic models aggregate traffic characteristics, including flow, mean speed, and density, to represent traffic flow at a low degree of detail. As a research trend, microscopic models are more concerned by researchers than macroscopic models, and the car-following model is the most concerned one [17] [18]. The car-following model assumes that a focus vehicle follows the one in front of it in a single lane, keeping a minimum gap of time and space between them [19][20][21][22][23].…”

Nonlinear Dyn manuscript No. (will be inserted by the editor) Trajectory design with finite time properties in precision positioning maneuvers

“…Experimental tests demonstrate a system with reduced drift that provides a more accurate resulting model. In [4] a new traffic flow model called the forward-backward velocity difference (FBVD) model is presented, the model belongs to the family of microscopic models that consider spatiotemporally continuous formulations, through nonlinear analysis, a kinkantikink solution is derived from the modified Korteweg-de Vries equation to explain traffic congestion of the model. The dynamic performance of traffic flow using a modified optimal velocity car-following model was studied in [22], here a vehicle must adjust the following distance in real time, the results show that the proposed model improve the traffic stability and suppress traffic congestion.…”