M/G/1一般减量服务单重休假排队系统的随机分解

A M/G/1 Type Queue with Single-Vacation and Generally-Decreased Service

本文讨论了M/G/1型一般减量服务单重休假排队模型,运用结构分析法得到稳态队长和服务时间的随机分解的母函数和拉式变换,并给出稳态分布成立的条件及其概率含义．

In this paper a queue of M/G/1 type with single vacation and generallydecreased service is discussed. Based on the structure of stochastic decomposition of a M/G/1 type vacation queue with nonexhaustive service, the stochastic decomposition of queue-length with G.F.P and waiting time with L.S.T on the steady state is obtained with a simplified method, at the same time, the equilibrium condition with its probability meaning is also acquired.