本文研究了具有位相型休假、位相型启动和 单重几何休假的离散时间排队, 假定顾客到达间隔服从一般分布,服务时间服从几何分布, 运用矩阵解析方法我们得到了这些排队系统中 顾客在到达时刻稳态队长分布及其随机分解.

In this paper the discrete-time queue with phase-type vacation, phase-type set-up time and single geometric vacation are studied. Suppose that the interarrival times of customers follow general distributions and service times of customers follow geometric distributions, the stationary queue length distributions at arrival times and stochastic decompositions of queue length in the three queueing systems are obtained by using matrix analysis method.