基于复合泊松过程的新疆火车站客流量分析

Passenger Flow Analysis of Xinjiang Railway Station Based on Compound Poisson Process

本文利用客流量分析系统研究了新疆火车站在t时间内客流量的数学模型。火车依参数为λ的泊松过程进入车站,每辆火车承载的乘客数量作为一族独立同分布的随机变量,在t时间内火车站的客流量是一个复合泊松过程。根据随机过程的相关知识分析新疆火车站在t时间内客流量的数字特征,所得结论可对新疆客运提供一定的借鉴与参考。This paper studies the mathematical model of the passenger flow of Xinjiang Railway Station in t time by using the passenger flow analysis system. The train enters the station according to the Poisson process with parameter λ, and the number of passengers carried by each train is regarded as an independent and equally distributed random variable . The passenger flow of the railway station in time t is a compound Poisson process. According to the relevant knowledge of stochastic processes, the numerical characteristics of passenger flow at Xinjiang Railway Station in t time are analyzed, and the conclusions can provide some references for passenger transport at Xinjiang Prefecture.