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

Abstract

The "backward looking" effect in the continuum model considering a new backward equilibrium velocity function. AuthorsMd. Anowar Hossain a) , Jun Tanimoto a), b) a

A viscous continuum traffic flow model based on the cooperative car‐following behaviour of connected and autonomous vehicles

“…Zhai and Wu [58] considered the traffic interruption probability in the OV model and proposed a developed continuum traffic flow model, the results showed that the improved model can enhance the stability of traffic flow. In this context, an extensive literature has developed on the extended versions considering new characteristics, such as multiple OV with different probabilities [59], backwards-looking [60], bi-directional information [61], the bifurcation phenomena [62], slope and curved road [63,64],vehicles' taillight [65], and feedback control [66].…”

A mixed-flow model for heterogeneous vehicles enforcing a movement control protocol utilizing a vehicular size-based equilibrium speed function

“…However, transport facilities face numerous issues, including limited resources and poor management. Therefore, several traffic models have been developed based on theories and experiments, including microscopic models [ [1] , [2] , [3] , [4] , [5] , [6] , [7] ], macroscopic models [ [8] , [9] , [10] , [11] , [12] , [13] ], lattice hydrodynamical models [ [14] , [15] , [16] , [17] , [18] ], and cellular automaton (CA) models [ [19] , [20] , [21] , [22] , [23] , [24] ]. Most of these models have been validated under an ideal traffic flow environment with homogeneous vehicle sizes and capabilities, which could not ensure an actual traffic flow field.…”

An improved microscopic traffic model for heterogeneous vehicles using the vehicle's mass effect

“…These models can commonly be categorized into two distinct types [ 1 ]. The first type is known as the macroscopic or continuum model, which likens traffic flow to a compressible fluid and is investigated using fluid dynamics principles [ 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 ]. Conversely, the second type is the microscopic or ultra-discrete model, which delves into the interactions between individual vehicles as well as their relationship with the road infrastructure [ [10] , [11] , [12] , [13] ].…”