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.

引用

页码：851 / 863

页数：13

共 19 条

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