Simulation Study On Conflict Between Pedestrian And Vehicle Based On Evolutionary Game Theory

With the rapid development of economy,the travel demand of urban residents is rising,and the flow of pedestrian and vehicle on the road is constantly increasing.As a result,the conflict between pedestrian and vehicle becomes more and more serious,and accidents occur frequently.As a new subject,game theory has been gradually applied in the transportation field.After applying evolutionary game theory to analyze the evolution of conflict between pedestrian and vehicle,establishing the conflict game model between pedestrian and vehicle,and combining this model and cellular automaton,the conflict simulation model of pedestrian and vehicle is established in this paper finally.It is used to in depth study the conflict between pedestrian and vehicle and to reveal the evolving law of all the traffic entities in the process of pedestrian crossing,and it is of great significance to improve road service level,strengthen road traffic safety and improve traffic civilization.The details of this article are as follows:(1)Firstly,the characteristics of pedestrian crossing and the conflict between pedestrian and vehicle are analyzed in oder to establishing model.Among them,the characteristics of pedestrian crossing include pedestrian walking speed,spatial demand and psychological characteristics.The characteristics of the conflict between pedestrian and vehicle elaborate the definition of conflict in this paper,and analyze the mechanism of the formation of conflict,and discuss the possibility that pedestrian and vehicle can reach the first coordination in the conflict from the perspective of probability.(2)Secondly,a game model of the conflict between pedestrian and vehicle is established.First of all,according to the actual traffic situation,the concept of basic income,conflict loss,waiting loss and mutual loss is put forward.On the basis of this,a game matrix of the conflict between pedestrian and vehicle is established.Then the evolutionary analysis paradigm is introduced and the game model of the conflict between pedestrian and vehicle is established.Then according to the established model,the position and stability of the equilibrium point and the mechanism of the system in different traffic situations are analyzed in detail.Finally,this paper defines the traffic concept of opportunity loss,and analyzes the sensitivity of the system about the mutual loss and opportunity loss of pedestrian and vehicle.(3)Thirdly,a simulation model of the conflict between pedestrian and vehicle is established.Based on the model hypothesis,the conflict system of pedestrian and vehicle is discretized,which divides the conflict into two types:the conflict with low-speed and short-distance and the conflict with high-speed and long-distance.Thencombined with the actual traffic situation and the conflict game model in(2),the game matrix corresponding to each type of conflict is determined,and then calculate the dynamic equation of replication selected by pedestrian and vehicle as the adjustment rules for the probability of passing.In addition,the rules of speed limit of conflict zone are introduced in NaSch,and the updating rules of the vehicle are designed,and considering the conformity psychology of pedestrian crossing,the updating rules of pedestrian are designed,and the simulation model of the conflict between pedestrian and vehicle is established.(4)Finally,a simulation analysis for case study.This paper chooses the cross-country channel at Jiayuan South 2 gate of Beijing Jiaotong University in Haidian District as a case,and surveys relevant data which the model need.Then the arrival distribution of pedestrian and vehicle are fitted,and the critical gap of pedestrian crossing vehicle is determined,and the randomization slowness probability of vehicle is calibrated,and the appropriate game parameters are selected according to certain principles.Based on Matlab programming,an instance simulation system is developed to analyze the evolution of game loss,travel time and delay of the pedestrian and vehicle in the early,middle and late stage.