基于非定数冲击波理论的车辆排队长度分析模型OACSTPCD

In order to overcome the limitation of the assumption of linear shock wave in solving queue length in the vehicle queue length analysis model based on constant shock wave theory,a non-constant queue length analysis model matching the real-time arrival law of vehicles was proposed.Firstly,based on the shock wave theory of traffic flow,the accurate positioning of the tail of queuing vehicles was abstracted as a spatio-temporal position analysis model concerning nonlinear arrival shock wave and release shock wave,which reflects the actual driving characteristics of traffic flow.Then,an independent period was selected as the calculation unit,and a backtracking algorithm of the spatio-temporal line shape of shock wave was designed based on detection data.A continuous check-ing mechanism between measured data and calculated results was established with the number of re-maining vehicles used as an intermediate variable.Finally,the validity of the method was verified based on actual road sections.The results showed that according to the measured data of vehicles,the shock wave shape calculated by the non-constant shock wave model were consistent with the arrival law of vehicles.The average absolute error of the queue length obtained by the proposed model was 3.8 m,which was 5.3 m and 4.8 m less than the results of the constant shock wave model with two different detector positions of the road sections,respectively.As the length of the road section changed and two sets of different traffic volume combination were loaded in the VISSIM simulation software,the average absolute error between the queue length calculated by the non-constant shock wave model and the measured results was only 2.71 m and 7.63 m,respectively.The proportion of calculation re-sults for traffic volume combination Ⅰ with an absolute error greater than 5 m and traffic volume com-bination Ⅱ with an absolute error greater than 10 m in the total number did not exceed 7.7%and 17.8%,respectively.Under the same arrival law in traffic volume combination Ⅰ,compared with the average queue length obtained based on constant shock wave theory,the model based on the non-con-stant shock wave theory improved the accuracy of the queue tail positioning by an average length of 3 vehicles.The research results indicate that the proposed model can reproduce the dynamic queuing process of vehicles based on the actual arrival laws of vehicles,which provides more refined parame-ters for the evaluation of traffic control schemes and the optimization of traffic efficiency.