带有不耐烦顾客及(e,d)休假策略的M／M／c／K排队

M/M/c/K queue with impatient waiting and the (e, d) policy

在M／M／c／K排队模型基础上增加了不耐烦顾客、(e,d)策略及单重休假策略,提出了一个拟生灭过程模型。利用矩阵几何解方法给出了系统稳态队长分布、服务台全忙条件下排队顾客数的分布及进入系统的顾客的等待时间分布。这些结果推广了Xiuli Xu等(2006)发表的工作。

In this paper, an M/M/c/K queue with impatient waiting, policy and single vacation policy which is a quasi-birth and death model is studied. The queue length stable distribution, the distribution of waiting number when the servers are all busy and the waiting time of customers entered into the system are ：gotten with the matrix analytic methord. These conclusion generalized the studies ofXiuli Xu （2006）.