有休假阀值、顾客丢失且一般重试时间的排队系统  

The M/G/1 Queue with Vacation Threshold M, Customer Loss and General Retrial Times

作　　者：伍慧玲[1] 方春锋[2] 

机构地区：[1]华南师范大学南海校区数学教研室,广东佛山528225 [2]微软(中国)有限公司,北京100080

出　　处：《汕头大学学报（自然科学版）》2007年第1期6-13,共8页Journal of Shantou University：Natural Science Edition

摘　　要：采取补充变量和母函数方法,研究一类有休假阀值和一般重试时间的排队系统.给出系统存在稳态的充分必要条件、系统的稳态方程组和求解稳态分布的一般方法;就阀值为1的情形给出系统平均人数等一系列重要性能指标.In this paper, the .M/G/1 retrial queuing system was discussed with vacation threshold M and general retrial times. The necessary and sufficient conditions for the system to be stable were given, and the method to obtain the generating functions of the state distribution of the server state was proposed. When the threshold was a general M, especially when M= 1, some important indexes such as the average number L were derived in the system.

关 键 词：一般重试时间 休假 门槛 顾客丢失 补充变量法 

分 类 号：O122[理学—数学]