中文摘要：

以单个收银台为基础,应用蒙特卡罗方法研究了单个收费排队系统的顾客到达间隔时间分布和服务时间分布,模拟验证了其是否符合M/M/1分布,并以此研究了该系统的主要指标和运营合理性。

英文摘要：

In this paper,we establish a mathematics model at the base of one checkout,by applying the Monte Carlo method to research the customer arrival time interval distribution and service time distribution.Furthermore,we simulate these distributions by computer to demonstrate whether it is M / M /1 model,and study the main index and rationality of the system.