Microscopic Car-Following Model Considering The Effects Of Full Lateral Gaps

With the rapid development of the economy and society,the global domestic product has been continuously improved,and vehicle has become a means of transportation for all households.Therefore,with the increasing number of urban vehicles,various traffic problems have gradually emerged.Traffic congestion is one of the main factors of traffic problems,which restricts the rapid development of cities.How to solve or alleviate traffic problems with the guidance of scientific theories has become a key point of current research.Microscopic traffic flow research analysis individual vehicles to indicate the traffic operation status from individual vehicles to trafiic flow.the studies characterize the behavior of individual vehicles on the road by analyzing the behavioral characteristics of individual vehicles on the road.In addition,road structure information will also affect the evolution of traffic flow.Unstructured roads have unclear lane-discipline situation or nonelane-discipline situation on the road,and the road structure is not clear,vehicle platoon will produce lateral gaps during driving.Studying the influence of the lateral gap of preceding vehicle to following vehicle,the traffic flow situation based on lane-discipline is extended to the none-lane-discipline traffic flow situation.Therefore,the research of microscopic car-flowing model considering the effect of full lateral gaps has important theoretical and practical value for recognizing traffic flow phenomena and reducing traffic congestion.In this context,this thesis aims to recognize the influence of evolution of cognitive full lateral gaps to traffic flow in non-lane-discipline circumstance.Specifically,on the one hand,at the microscopic level,the microscopic traffic flow model is proposed by considering the influence of the ful lateral gaps on the traffic flow.On the other hand,the linear stability of the model is analyzed by the small perturbation method,and its nonlinear stability is analyzed by the reductive perturbation method.The dynamic process simulation of the model is compared and its dynamic characteristics are analyzed.The main content of this thesis includesI.In the none-lane-discipline circumstance,the lateral gaps of the vehicle platoon will be introduced during driving,and the influence of the lateral gaps of the leader vehicle to following vehicle will be considered.At the same time,the influence of the two-sided lateral gaps of preceding vehicle to following vehicle will also be analysed.The microscopic traffic flow model considering the effects of full lateral gaps is proposed.II.The linear stability of the model is analyzed by the small perturbation method to obtain the stable region of the model.The simulation comparison shows that the proposed model has a larger stable region than the preceding model,which means that the steady state performance of the proposed model is better.Then the simulation of the starting process and the stopping process are analyzed.The simulation results show that the dynamic performance of the proposed model in the non-lane-based road situation is better than full velocity difference model of the structured road situation.III.The nonlinear stability is analyzed by the reductive perturbation method,and the kink wave of model is obtained.The simulation of the model evolution process shows that the new model can reach the steady state faster than the two-sided full velocity difference model,so its dynamic performance is better.Therefore,the proposed model can present a more general traffic flow scenario.The dynamic performance of the full gap model is better than the traditional traffic flow model.At the same time,the full gap model has better steady state performance.This means that in the actual traffic scene,the proposed model is used to compare and analyze the vehicle tracking phenomenon in actual traffic,to provide guidance for road vehicles and improve road traffic efficiency.