摘要
为了解决银行顾客排队现象,本文提出解决这种排队现象的服务策略,根据服务原则建立模型———具有非抢占优先站点轮询系统,讨论系统在平稳条件下,对于具有一个非抢占的优先权站点且采用穷尽服务方式下的轮询系统进行理论分析,利用排队理论,给出每个站点的队长的概率母函数及顾客的等待时间的拉普拉斯.斯蒂尔切斯变换,实现了该服务方案的定性分析。
In this paper, we offer a new service strategy to solve the problem of costumers queueing in bank. In the service rule,the polling system model with a non-preemptive priority queueing is set up by the mathematic method . Then, the system model has applied queueing theory to the study exhaustive service disciplines under polling system stability. The probability generating function of queue lengths,the Laplaee-Stieltjes transform of waiting time is obtained, and the mean of the waiting time of customer in each queueing is given. Therefore the quality analysis of the strategy is made.
出处
《运筹与管理》
CSCD
北大核心
2009年第3期32-36,共5页
Operations Research and Management Science
关键词
运筹学
排队理论
轮询系统队长
等待时间
operational research
queueing theory
polling system
queue length
waiting time
