Based on the M /M /1 queuing model and the customer waiting time as the objective function , first, the "fast tracks" of supermarket are studied and a mode of optimizing on operational efficiency of queuing system is given .It is proved that the Double-queuing System of the supermarket with "fast tracks" is superior to the Single-queuing System , and the Double-queuing System has the optimal number of cashers .Then, the solution that leads to the optimal cut-off number of commodities under Double-queuing System is obtained .Finally, by using the empirical data , this paper verifies that this optimizing model of the Double-queuing System is feasible and improves operational efficiency in large supermarket .The study result could be widely applied to banks , toll stations, hospitals and so on .%对实际中存在"快速通道"的大型超市排队系统的运营效率进行优化,基于M/M/1排队模型,以顾客排队等待时间为目标函数,证明了存在"快速通道"的大型超市的双排队系统要优于单排队系统,并得到了双排队系统下各自服务台的最优配置数量.在此基础上,进一步给出了求得双排队系统下的最优商品数量分界点的方法.最后,通过调研数据的结果分析说明了研究的结论.研究结果对银行、收费站、医院等有着极大的启示意义.
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