PERFORMANCE OF BULK QUEUE UNDER VACATION AND INTERRUPTION

被引：0
|
作者：
Kumar, Jitendra [1 ]
Shinde, Vikas [1 ]
机构：
[1] Madhav Inst Sci & Technol, Dept Appl Math, Gwalior, Madhya Pradesh, India
来源：
ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES | 2020年 / 19卷 / 10期
关键词：
generating function; Rouche's theorem; steady-state distribution; single server; SERVICE QUEUE; WORKING VACATIONS; ARRIVAL;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper deals with bulk arrival and bulk service under vacation and interruption. To analyze the steady-state behavior as well as determine the different performance size distributions are obtained by using supplementary variable technique. Various performance indices such as expected probability, when the server is busy and on vacation and mean number of customers in the queue and system with utilization factor are carried out in order to validate the analytical result by numerical illustration. Objective of this paper is to analyze the performance of bulk queues with a single server. The sensitivity analysis is also performed to explore the effect of different parameters.
引用
收藏
页码：969 / 986
页数：18
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