Influence of lane change on stability analysis for two-lane traffic flow

Abstract

This paper deals mainly with the influence of lane changing behaviours on the stability of two-lane traffic flow under a periodic boundary condition. Following the description of an optimal velocity model for two vehicle groups and the derivation of their stability conditions, the feedback signals, which involve information about vehicles from both lanes acting on the two-lane traffic system, are introduced into the optimal velocity model. The control signals play a role in alleviating the traffic jam only if the traffic state is in congestion, and their role will vanish if the traffic state is in the steady state. The numerical simulations show that lane changing behaviours can break the steady state of two-lane traffic flow and aggravate the traffic disturbance, but the control method would successfully suppress the traffic jam eventually, which implies that the conclusions obtained here have certain theoretical and practical significance.

Psychological and environmental factors affecting driver's frequent lane‐changing behaviour: a national sample of drivers in China

“…As can be seen from Table 3 that the drivers and road traffic environment were the main factors causing frequent lane‐changing behaviour, among which the drivers were the main factor. By comparing some scholars’ research [34] on the factors that affect drivers’ lane‐changing behaviour from the four aspects: people, vehicles, roads and environment, it can be concluded that the results obtained in this paper are similar to those in previous studies, which further proves that the research results in this paper are reliable.…”

User Opinion on Factors Affecting Drivers Frequent Lane-Changing Behavior: A National Sample of Drivers in Pakistan

“…As can be seen from Table 2 overtaking slower vehicles and the road traffic environment were the main factors causing frequent lane-changing on highway behavior, among which the drivers were the main cause factor. By comparing some scholars' research [12] on the factors that affect drivers' lane-changing behavior on highways from the four aspects: people, vehicles, roads, and traffic environment, it can be concluded that the results obtained in this paper are similar to those in previous studies, which further proves that the research results in this paper are reliable.…”

Stability control of a two‐lane car‐following model based on cluster synchronization of complex network

“…Based on this, under the precondition of the existence of lateral friction and considering the interaction mechanism between vehicles on the two‐lane, Liang et al 42 proposed a two‐lane optimal speed model with lateral friction. And in this model, the dynamic equations of the vehicle $$$ {n}_i $$$ in the lane $$$ i $$$ can be described as: $$$$ \left\{\begin{array}{l}{dy}_{i,{n}_i}(t)/ dt={v}_{i,{n}_i+1}(t)-{v}_{i,{n}_i}(t),\\ {}\hfill \kern-3.6em {dq}_{i,{n}_i}(t)/ dt={v}_{i,{n}_i}^f(t)-{v}_{i,{n}_i}(t),\\ {}{dv}_{i,{n}_i}(t)/ dt={a}_i\left[{V}_i\left({Y}_{i,{n}_i}(t)\right)-{v}_{i,{n}_i}(t)\right],\end{array}\right.$$…”

“…In Reference 42, a two‐lane car‐following model with lateral friction is proposed and the stability conditions of the traffic flow of the model are given by using the $$$ {H}_{\infty } $$$ norm method. In addition, based on the two‐lane car‐following model with lateral friction, the relative velocity information without time delay and the head‐spacing information with time delay are loaded respectively, and the stability conditions of traffic flow based on the improved model are obtained.…”