Research On Two-lane Traffic Flow Based On Lattice Model

In recent years,with the improvement of people’s living standards and the increase of the frequency of travel,the number of vehicles has increased sharply,which brings convenience to people,but at the same time,there are traffic congestion problems.In order to solve the traffic congestion problem,scholars from different fields have contributed their wisdom to consider different factors and established various models.Based on Nagatani’s lattice hydrodynamics model,the dissertation has established an improved lattice model in a two-lane environment,taking into account factors such as the curvature radius difference and lane-changing behavior of two-lane curved road,lane-changing in mixed traffic,penetration of networked vehicles,and communication distance,Through theoretical analysis and numerical simulation,the evolution law of road traffic flow is studied,which has a certain role in further revealing the causes of complex traffic phenomena.The main work is as follows:1.Considering the influence of curvature radius difference on traffic flow on two-lane curved road.In actual traffic,not all roads are straight roads,and curved road also account for a large proportion.The traffic flow on curved road is more complex and irregular than straight roads.Some curved road need to be widened in consideration of the stability of traffic flow and driving safety.In order to study the effects of radius difference of curvature and lane-changing behavior on traffic flow in two-lane curved road,a one-dimensional lattice hydrodynamics model is extended.The effects of radius difference and lane-changing behavior on traffic flow stability are analyzed using linear stability analysis and nonlinear analysis methods.Finally,the correctness of the theoretical analysis is verified by numerical simulation.The results show that the radius difference has a stabilizing effect on the traffic flow;When lane-changing occur,lane interactions can stabilize traffic flow;As the radius of the inner lane increases,the traffic flow becomes more unstable.2.A two-lane lattice hydrodynamic model with mixed traffic of connected vehicles and traditional vehicles.With the continuous development of Internet of Vehicles technology,the road environment has been continuously upgraded and updated,and the development of intelligent transportation is of great significance for improving the effectiveness and safety of transportation.At present,there is a need for further research on the mixing of networked and traditional vehicles in actual traffic.By considering the impact of lane-changing and mixing of networked and traditional vehicles on traffic flow,a new two-lane lattice hydrodynamics model is proposed.Through linear stability analysis and nonlinear analysis methods,stability conditions are obtained,and numerical simulations are conducted to verify the theoretical analysis.The results show that lane-changing,increasing the penetration rate of networked vehicles,sensitivity coefficient,and communication distance have a positive impact on the stability of mixed traffic.In addition,the communication distance is not as far as possible because it has little impact on the improvement of the communication distance after a certain value and will increase the technical cost.