关键词: 双排队系统, 快速通道, 排队论, 大型超市, 分界点

Abstract: 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.

Key words: double-queuing system, fast-track, queuing theory, supermarket, cut-off point