On the batch arrival batch service queue with finite buffer under server's vacation: MX/GY/1/N queue

被引：20

作者：

Sikdar, K. ^{[1
]}

Gupta, U. C. ^{[2
]}

机构：

[1] BMS Inst Technol, Dept Math, Bangalore 560064, Karnataka, India

[2] Indian Inst Technol, Dept Math, Kharagpur 721302, W Bengal, India

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2008年 / 56卷 / 11期

关键词：

Batch arrival; Batch service; Finite-buffer; Queue; Vacations; Variable service capacity;

D O I：

10.1016/j.camwa.2008.07.034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers a finite-buffer batch arrival and batch service queue with single and multiple vacations. The steady-state distributions of the number of customers in the queue at service completion, vacation termination, departure, arbitrary and pre-arrival epochs have been obtained. Finally, various performance measures such as average queue length, average waiting time, probability that the server is busy, blocking probabilities, etc. are discussed along with some numerical results. The effect of certain model parameters on the key performance measures have also been investigated. The model has potential application in several areas including manufacturing, internet web-server and telecommunication systems. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：2861 / 2873

页数：13

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