带负顾客,反馈,服务台可修的M/G/1重试排队系统  

M/G/1 Retrial Queues with Negative Customers,Feedback and Repairs

作　　者：高显彩[1] 单雪红[2] 朱翼隽[3] 

机构地区：[1]宿州学院数学与统计学院,宿州234000 [2]宿州学院智能信息处理实验室,宿州234000 [3]江苏大学理学院,镇江212013

出　　处：《应用数学学报》2012年第5期935-943,共9页Acta Mathematicae Applicatae Sinica

基　　金：安徽省高等学校省级自然科学研究(KJ2011B178);宿州学院智能信息处理实验室开放课题(2010YKF10);宿州学院一般科研(2011yyb04);宿州学院院级硕士科研启动基金(2008yss23)资助项目

摘　　要：对负顾客的研究可以从不同的角度,不同的方法,不同的机制来进行.本文提出了带负顾客,反馈,服务台可修的M/G/1重试排队系统.其中负顾客的机制是带走正在接受服务的正顾客和使得服务器处于修理状态.在假定重试区域中只有队首的顾客允许重试的情况下,重试时间具有一般分布时,得到了系统稳态的充分必要条件.求得了系统稳态时队长和重试区域中队长分布及一些排队指标和可靠性指标.The study of negative customers can be carried out from different points of view and by different methods. This paper studies M/G/1 retrial queuing with negative customers feedback and repairs in which the mechanism of negative customers is not only to take the positive customers being served away, but also to make the server under repair. For an arbitrarily distributed retrial time distribution, the necessary and sufficient condition for the system stability is obtained, assuming that only the customer at the head of the orbit has priority access to the server. The steady state distributions of the number of customers in the system and the orbit, some queueing quantities of the system and the reliability quantities of the server are obtained

关 键 词：负顾客 服务台可修 重试排队 概率母函数 

分 类 号：O226[理学—运筹学与控制论]