Delayed-feedback control in multi-lane traffic system

Speed limit effect during lane change in a two-lane lattice model under V2X environment

“…( 3) and ( 5). Subsequently, a number of extended two-lane lattice models [67][68][69][70][71][72][73][74][75][76][77][78] are concerned with different traffic factors. In modern transportation environments, transportation infrastructure is complex and dangerous roads often appear.…”

“…Moreover, the lane-changing phenomenon also attracts the interest of some scholars. [67][68][69][70][71][72][73][74][75][76][77][78] Recently, vehicle to everything (V2X) technology helps to enable the real-time transmission of traffic information. In an actual transportation environment, the slope, curve, narrow road and tunnel inevitably exist on the road, which require adopting a speed limit method to ensure traffic safety especially in lane changing situations.…”

Study on the multi-lane lattice model for highways based on a novel lane-changing mechanism

“…This is because the constraints of safe driving conditions also have to be considered. However, in the multi-lane lattice model described in References [ 64 ] and its subsequent improvements [ 19 , 65 , 66 ], the assumed lane-changing condition is so extreme that lane-changing behavior occurs only if the vehicle density at site on lane is just higher than that at site on the target lane , where . In fact, this is a very aggressive assumption for lane-changing, especially when the density of vehicles on all lanes is high, and such lane-changing behavior would likely lead to potential collisions between vehicles.…”

“…Very recently, Madaan and Sharma [ 64 ] expanded the traffic flow lattice model for multi-lane systems with optimal current difference by utilizing the concept of two-lane systems in order to increase the applicability of the lattice model for real-world scenarios. Later, in 2022, Madaan and Sharma [ 65 ] further investigated the impact of delayed feedback control on multi-lane systems. In 2023, Zhai et al [ 66 ] proposed a new multi-lane lattice hydrodynamic model considering the passing effect.…”

“…Nevertheless, existing multi-lane lattice models still fall short of adequately describing and modeling such intricate lane-changing patterns. In the current multi-lane traffic flow lattice models [ 19 , [64] , [65] , [66] ], the basic assumption of the lane-changing rule is that the density of the traffic flux in the neighboring front lattice site on the target lane only needs to be smaller than the density of its neighboring front lattice site on the current lane (i.e., the lateral distance between the current vehicle and its nearest vehicle in the target lane only needs to be larger than the headway between the current vehicle and its nearest vehicle on the current lane), and then lane-changing behavior is likely to occur. Obviously, this lane-changing assumption is overly simplistic and does not align with actual traffic conditions.…”