基于排队理论的超市收银系统的分析与改善  

A Study of the Analysis and Improvement of Cash Collection System of Some Supermarket Based on Queuing Theory

作　　者：谢富春[1] 彭可乐 王娟[1] 唐谦[1] 卿上乐[1] 王先安[1] XIE Fuchun;PENG Kele;WANG Juan;TANG Qian;QING Shangle;WANG Xian’an(College of Mechanical Engineering,Hunan Institute of Engineering,Xiangtan 411104,China)

机构地区：[1]湖南工程学院机械工程学院,湖南湘潭411104

出　　处：《工业工程》2020年第2期142-149,共8页Industrial Engineering Journal

基　　金：湖南省教育科学“十三五”规划资助项目(XJK18BGD058)。

摘　　要：将超市收银服务系统优化问题转化为M/M/S/∞的泊松输入-指数服务排队模型,解决了超市收银服务系统模型中顾客人数和到达时间都是随机参数的难题。利用直方图与泊松分布概率密度曲线、负指数概率密度曲线分布进行初步对比,判定数据的分布形式,使用极大似然法对参数进行估计,然后利用卡方(χ2)-检验法对参数进行检验,通过使用排队论分析技术分析系统的现状,最后运用事情调度法对系统进行优化。通过收银系统的优化,提升了顾客满意度和服务质量。The optimization problem of the supermarket cash register service system was transformed into the M/M/S/∞Poisson input-index service queuing model,which solved the problems of the number of customers and the arrival time.Based on histogram and Poisson distribution probability density curve,negative index probability density curve distribution for preliminary comparison,the distribution form of data was determined,the parameters were estimated by maximum likelihood method,and then they were tested withχ2-test method,the service system analyzed and optimized with the queuing theory.Through the optimization of the cashier system,customer satisfaction and service quality are improved.

关 键 词：排队理论 收银系统 事情调度法 

分 类 号：F832.2[经济管理—金融学] O226[理学—运筹学与控制论]