摘要
依据一段实时路况监控视频,采用T型交叉平面口模型对事故所处横断面的实际通行能力进行建模.运用排队论的M/M/1/K模型对交通事故所影响路段的车辆排队长度与事故横断面实际通行能力、事故持续时间、路段上游车流量之间的关系进行建模,利用MATLAB软件与微元法思想进一步拟合与改进,并用模型预测出新交通条件下车辆排队至上游路口的时间,说明模型的有效性.
According to one real-time traffic surveillance video, a mathematical model, de~ scribing the actual traffic capacity of the accident cross section, is established by T-type plane intersection model. The difference of the impact of different occupied lanes on actual traffic capacity is quantitatively analyzed based on exponential smoothing and nonparametric test. Then M/M/1/K model in queuing theory is applied to modeling the relation between vehicle queue length of traffic road segment, actual traffic capacity of the accident cross section, traffic duration and upstream traffic volume. By virtue of MATLAB and infinitesimal method, the model is improved and used to predict the time when vehicle queue length reaches upstream intersection under new traffic conditions. This implies the validity of our model.
出处
《数学的实践与认识》
北大核心
2015年第2期225-231,共7页
Mathematics in Practice and Theory
基金
中央高校基本科研业务费[3122013C002]
中国民航大学校内基金(2011QD02S)
