Equilibrium Analysis Of Beijing-shanghai High-speed Railway Operation Chart Based On Passenger Flow Law

Since the completion and operation of the Beijing-Shanghai high-speed railway,the rapid growth of passenger flow demands for higher requirements on the quality of the preparation of the train operation chart of the Beijing-Shanghai high-speed railway.As an important index to evaluate the quality of the preparation of the operation chart,the balance will have a significant impact on the work organization of the station,the travel speed of the train within the zone and the utilization of the station equipment.As high-speed railways pay attention to the quality of transportation,the train operation chart also needs to achieve balanced preparation under the condition of considering the fluctuation features of passenger flow.The thesis takes Beijing-Shanghai high-speed railroad as the research object,and on the basis of analyzing the differences of passenger flow in various stations and various time periods,the research on the balance of train arrival and departure is carried out,and the theory and method applicable to the evaluation of the balance of high-speed train operation scheme are proposed.The specific research contents are as follows:(1)Clustering algorithm is adopted to classify the stations of the Beijing-Shanghai high-speed railway in view of the variability of passenger flow in spatial distribution.By extracting the features of each station such as geography,economy and track lay-outs,the attribute factors to be considered in station classification are determined.After standardizing the indicators and measuring the degree of affinity,the stations of Beijing-Shanghai high-speed railway are classified into four categories,and the passenger flow characteristics of each type of stations are analyzed from the perspectives of mean value,standard deviation,skewness,kurtosis and Hurst index,which provide a basis for the determination of station weights in the subsequent calculation of the balance of the operation chart.(2)For the variability of passenger flow in time distribution of Beijing-Shanghai high-speed railway,time axis information granulation method is adopted to divide the passenger flow time series.The passenger flow time series are divided into several time windows according to the changing features of the passenger flow time series at each station,and then the sub-series on the divided time windows are characterized effectively.Taking Beijing South Station as an example,the passenger flow time series of this station is divided into 10 time periods,and the four representative time periods of Spring Festival,May Day,Summer Festival and National Day are selected to analyze their passenger flow features,which provide a basis for the selection of characteristic periods and typical dates for the evaluation of the balance of operation chart.(3)Based on the analysis of existing equilibrium theories,we propose to measure the equilibrium of HSR train operation chart at three levels: train,station and passenger flow matching.At the train level,the equilibrium of train stop station distribution is analyzed based on the mathematical theory;at the station level,the equilibrium of the distribution of the number of departing trains at each time of the station is analyzed based on the Gini coefficient and the Thiel index;at the passenger flow matching level,the matching degree of the number of departing trains at the station and the passenger flow is analyzed based on the improved DTW algorithm and the Euclidean distance.(4)Based on the operation charts selected by the aforementioned analysis at typical times in 2019,the overall balance of the Beijing-Shanghai High-speed railway is evaluated using the Vague set comprehensive evaluation method,and the balance of the operation charts under different dates is obtained to provide a detailed and targeted basis for the analysis and adjustment of the train operation charts.