Analysis of an unreliable single server batch arrival queue with two types of services under Bernoulli vacation policy

被引：5

作者：

Begum, Anjana ^{[1
]}

Choudhury, Gautam ^{[1
]}

机构：

[1] Inst Adv Study Sci & Technol, Math Sci Div, Gauhati 781035, Assam, India

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2021年 / 50卷 / 09期

关键词：

M-x/((G1)(G2))/1 queue; Bernoulli Vacation Policy; Service Interruption; Delayed Repair Time; Reliability Analysis and MTFF;

D O I：

10.1080/03610926.2019.1659972

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

This article considers a single server batch arrival queue providing two types of general heterogeneous parallel services under Bernoulli Vacation Policy. The server assumed here is unreliable and incorporates the concept of delayed repair period. An extensive study of this model is carried out and the queue size distribution at random as well as departure epoch is obtained. Further, Laplace Stieltjes Transform of a busy period and waiting time distribution is also being derived. Finally, some important performance measures along with the reliability indices are accomplished in the study.

引用

页码：2136 / 2160

页数：25

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