Analysis of a Markovian Retrial Queue With Working Vacation Under N-Control Pattern

被引：1
|
作者：
Manoharan, P. [1 ]
Murugan, S. Pazhani Bala [1 ]
Sobanappriya, A. [1 ]
机构：
[1] Annamalai Univ, Dept Math, Annamalainagar 608002, Tamilnadu, India
来源：
COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS | 2022年 / 13卷 / 03期
关键词：
Markovian retrial queue; Working vacation; N-control pattern; Conditional stochastic decomposition; M/M/1; QUEUE; M/G/1;
D O I：
10.26713/cma.v13i3.2065
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A Markovian retrial queue with working vacation under N-control pattern is investigated in this article. To describe the system, we employ a QBD analogy. The model's stability condition is deduced. The stationary probability distribution is generated by utilizing the matrix-analytic technique. The conditional stochastic decomposition of the line length in the orbit is calculated. The performance measures and special cases are designed. The model's firmness is demonstrated numerically.
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页码：851 / 863
页数：13
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