M/G/1非空竭服务休假排队系统的平衡条件分析

Analysis of Condition on the Steady State of a M/G/1 Type Vocation Queue with Nonexhaustive Service

讨论了一般非空竭服务M/G/1型休假排队系统的嵌入更新过程常返的条件,为稳态队长与等待时间的随机分解奠定理论基础.并且在独立休假策略下进一步简化Fuhrman与Cooper(1985)休假排队系统的随机分解的条件,并得到完整的随机分解结构.

In this paper the reccurent condition is discussed of the regenerative process embedded in a M/G/1 type vocation queue with nonexhaustive service, which is a sufficient condition of the queue＇s steady state.Based on this result and independent vocation policy we get a weaker steady condition of queue system with its decomposition offered by Fuhrman and Cooper（1985）.