Dynamic Modelling And Numerical Simulation Of Traffic Flow With Consideration Of Driving Behavior Analysis

In recent years,the traffic problem has always been a difficult problem to beset all social sectors.As a participant,the drivers play a very important role in the traffic system,and their driving behaviors have a significant impact on road traffic flow.Some unreasonable driving behaviors can induce local fluctuations of traffic system,and they further lead to traffic jams.Therefore,the study of dynamic modelling and numerical simulation of traffic flow with consideration of driving behavior analysis has important practical significance and the value of engineering application.Based on the microscopic and macroscopic traffic models,we focus on the driver’s continuous memory effect,the differences of the driving behavior(e.g.,aggressive and timid)and reaction delay effect and so on,and four improved traffic models are presented,and the corresponding theoretical analysis and numerical simulation are performed in this paper.Moreover,the influence of driver’s behavior on the stability of traffic system is investigated and the mechanism of traffic congestion is also discussed.All of these studies can provide certain theoretical basis for traffic management and control department.The main contents of the thesis are as follows:Ⅰ.Based on the FVD model,an extended self-stabilizing control driving car-following model is proposed by considering the driver’s continuous memory effects.The influences of the driver’s continuous memory effect on traffic flow are studied,and the nonlinear characteristic of density wave is also discussed in the instability region.The results show that the traffic jam can be alleviated effectively and the stability of traffic system can be obviously enhanced by driver’s continuous memory effect.Ⅱ.Based on the application of vehicle-to-vehicle communication technology(vehicle-to-vehicle,V2 V for short),an extended car-following model is proposed to simulate traffic flow by considering the differences of driver’s behaviors,such as the aggressive and timid driving behaviors.The influences of the different driving behavior and the average velocity effect of preceding vehicles group are studied on the stability of traffic flow,and the evolution properties of traffic density waves are also discussed in detail.The results show that timid driving behavior can easily induce traffic jams and lead to the traffic flow instability.However,through applying V2 V technology,the stabilization of traffic flow is effectively improved when the numbers of more vehicles ahead are considered.Ⅲ.An extended dual delay car-following model is established by considering the differences of driver’s memory on the motion state of the vehicle before and after.The influences of the different reaction delay behaviors on the stability of traffic flow are studied,and the nonlinear characteristics of traffic flow are also discussed.The results show that with decrease of the dual delay time,the stable region of traffic flow is increased in phase diagram.That is to say,the stability of traffic system is strengthened and traffic jam is effectively alleviated.Ⅳ.From the macroscopic viewpoint,an improved lattice hydrodynamic model was proposed to simulate traffic flow based on Nagatani’s model by considering the driver reaction delay and the relative current effect.The stability condition of this model is obtained by using the linear stability analysis.By applying the reductive perturbation method,the mKdV equation is derived,and the kink-antikink solution of mKdV equation can be used to describe the propagating features of traffic density waves.The numerical simulation results show that the smaller the driver’s delaying time,the better the stability of the traffic flow.The final chapter of this thesis is devoted to a summary and prospect of further study of the traffic flow.