有Bernoulli休假和可选服务的M^X/G/1重试排队系统  

An M^X/G/1 retrial queue with optional service and Bernoulli vacation

作　　者：陈佩树[1,2] 朱翼隽[1] 

机构地区：[1]江苏大学理学院,江苏镇江212013 [2]巢湖学院数学系,安徽巢湖238000

出　　处：《江苏大学学报（自然科学版）》2009年第4期428-432,共5页Journal of Jiangsu University：Natural Science Edition

基　　金：国家自然科学基金资助项目(70571030;10571076);巢湖学院科研基金资助项目(XLZ-200901)

摘　　要：考察具有反馈、可选服务且批量到达的重试排队系统,其中服务台有Bernoulli休假策略.通过嵌入马尔可夫链法证明系统稳态的充要条件;利用补充变量法得到稳态时系统和重试区域队长分布,还得到重试期间服务台处于空闲的概率等多种指标.An M^X/G/1 retrial queue with feedback, second optional service and Bernoulli vacation schedules is considered. The necessary and sufficient condition for the system stability is derived through embedded Markov chain. The steady state distributions of the number of customers in the system and orbit are obtained along with method of supplementary variables. The probability that the server is in idle and some other performance measures are also derived.

关 键 词：重试排队 批量 反馈 BERNOULLI休假 可选服务 

分 类 号：O226[理学—运筹学与控制论]