具有N策略和负顾客的反馈抢占型的M/G/1重试可修排队系统  

The M/G/1 retrial G-queues with N-policy,Feedback,Preemptive Resume and Unreliable Server

作　　者：吴锦标[1] 尹小玲[2] 刘再明[1] 

机构地区：[1]中南大学概率统计研究所,长沙410075 [2]中山大学数学与计算科学学院,广州510275

出　　处：《应用数学学报》2009年第2期323-335,共13页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金资助项目(No.60574002);湖南省研究生创新基金(No.3340-74236000001)资助项目.

摘　　要：本文研究了具有N策略和负顾客的反馈抢占型的M/G/1重试可修排队系统.所有顾客(包括正顾客和负顾客)的到达都是泊松过程,服务器是可修的.利用吸收分布,求出了系统存在稳态的充分必要条件.利用补充变量法,求出了系统稳态时系统和重试区域中队长分布的概率母函数,以及其他一些重要的排队指标.In this paper, the M/G/1 retrial G-queues with N-policy, feedback, preemptive resume and unreliable server is studied. Arrivals of customers（both positive customers and negative customers） are a Poisson process and the server may break down for the arrivals of negative customers. The necessary and sufficient condition for the system stability is obtained along with method of absorbed distribution. The generation function of steadystate distributions of the number of customers in the system and orbit and other important queueing quantities are obtained along with method of supplementary variables.

关 键 词：N策略 负顾客 反馈 抢占 重试 

分 类 号：O226[理学—运筹学与控制论]