An analysis of the MX/M/1 queue with multiple working vacations by GI/M/1 type Markov process

被引：0

作者：

Zhang, Hongbo ^{[1
]}

机构：

[1] Henan Inst Educ, Sch Math & Stat, Zhengzhou 450046, Henan, Peoples R China

来源：

ACTA INFORMATICA | 2018年 / 55卷 / 07期

关键词：

D O I：

10.1007/s00236-018-0316-y

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we analyze an M/M/1 queue with batch arrival and multiple working vacations. We describe the queueing model by a special GI/M/1 type Markov process with infinite phases, and by the matrix analytic method, we not only give the stationary queue length distribution of the model, but also obtain the exact number of vacations completed by the server.

引用

页码：613 / 624

页数：12

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