带有启动的离散时间排队

A Discrete Time Queue with Set up Time

研究了具有马氏到达过程（ＭＡＰ） 和相位型（ＰＨ） 启动时间的离散时间排队模型，证明了系统的稳态队长分布具有矩阵几何形式［１］，得到了来到系统顾客的稳态等待时间分布。

In this paper,a discrete time queue model with Markovian Arrival Process(MAP)and phase type set up time is analysed,Assume that service time is of phase type distribution.Result that the steady state queue length density is of the matrix geometric type [1] is proved.Stationary waiting time distribution of an arriving customer is derived,and the influence on the steady state condition in the system about set up time is discussed.