M/M/1 queue with m kinds of differentiated working vacations

被引：1
|
作者：
Hongbo Zhang
Gaojun Zhou
机构：
[1] Sias International University,School of Arts and Science
[2] Henan Institute of Education,School of Mathematics and Statistics
来源：
Journal of Applied Mathematics and Computing | 2017年 / 54卷
关键词：
M/M/1 queue; Working vacation; QBD process; Generalized eigenvalues; Stochastic decomposition; 60K25; 90B22;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we consider an M/M/1 vacation queueing system in which m different kinds of working vacations may be taken as soon as the system is empty. When parameters take proper different values, our model reduces to several classical models already studied in references. By quasi birth and death process and generalized eigenvalues method, we give the distributions for the number of customers and sojourn time in the system. Furthermore, we also give the stochastic decomposition results of such stationary indices.
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页码：213 / 227
页数：14
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