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.…”

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.…”

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].…”