在非抢占优先站点轮询系统中顾客等待时间  

Waiting Time in Polling System with a Non-interrupted Prior Queueing

作　　者：鲁韦昌[1] 雷玉洁[2] 

机构地区：[1]重庆通信学院应用数学教研室,重庆400035 [2]第三军医大学数学教研室,重庆400038

出　　处：《运筹与管理》2009年第3期32-36,共5页Operations Research and Management Science

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.

关 键 词：运筹学 排队理论 轮询系统队长 等待时间 

分 类 号：O266[理学—数学]