摘要
主要研究排队论中的一类带有顾客丢失、服务器休假且休假门槛值为M的M/G/1重试队列.给出了系统存在稳态的充分必要条件;利用补充变量法和母函数方法,给出休假门槛值为M时系统的稳态方程组和求解稳态分布的一般方法;特别就M=1的情形给出了系统首次进入休假时间的分布函数的Lap lace变换等一系列重要性能指标.
The M/G/1 retrial queuing system with vacation threshold M and customer loss is disussed. Some important indexes are given such as the necessary and sufficient conditions for the system to be stable, the method to obtain the generating functions of the state distribution of the server state when the threshold is a general M. The Laplace transformation of the distribution function of the first server vacation time is given especially when M = 1.
出处
《华南师范大学学报（自然科学版）》
CAS
2006年第2期43-49,共7页
Journal of South China Normal University(Natural Science Edition)
关键词
重试排队系统
休假
门槛
顾客丢失
补充变量法
retrial queues
server vacations
threshold
customer loss
supplementary variable
