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

被引：19

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

共 50 条

[1] Analysis of a finite buffer variable batch service queue with batch Markovian arrival process and server’s vacation
Sikdar K.
Samanta S.K.
[J]. OPSEARCH, 2016, 53 (3) : 553 - 583
[2] Analyzing the finite buffer batch arrival queue under Markovian service process: GIX/MSP/1/N
A. D. Banik
U. C. Gupta
[J]. TOP, 2007, 15 : 146 - 160
[3] Analyzing the finite buffer batch arrival queue under Markovian service process:: GIX/MSP/1/N
Banik, A. D.
Gupta, U. C.
[J]. TOP, 2007, 15 (01) : 146 - 160
[4] On Finite Buffer Bulk Arrival Bulk Service Queue with Queue Length and Batch Size Dependent Service
Gupta G.K.
Banerjee A.
[J]. International Journal of Applied and Computational Mathematics, 2019, 5 (2)
[5] Analysis of a batch arrival queue with vacation policy and exceptional service
Ke, Jau-Chuan
Yang, Dong-Yuh
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2016, 45 (12) : 3637 - 3657
[6] A batch arrival queue with a vacation time under single vacation policy
Choudhury, G
[J]. COMPUTERS & OPERATIONS RESEARCH, 2002, 29 (14) : 1941 - 1955
[7] The randomized vacation policy for a batch arrival queue
Ke, Jau-Chuan
Huang, Kai-Bin
Pearn, Wen Lea
[J]. APPLIED MATHEMATICAL MODELLING, 2010, 34 (06) : 1524 - 1538
[8] BATCH ARRIVAL QUEUE WITH N-POLICY AND SINGLE VACATION
LEE, SS
LEE, HW
YOON, SH
CHAE, KC
[J]. COMPUTERS & OPERATIONS RESEARCH, 1995, 22 (02) : 173 - 189
[9] Analyzing an infinite buffer batch arrival and batch service queue under batch-size-dependent service policy
S. Pradhan
U. C. Gupta
S. K. Samanta
[J]. Journal of the Korean Statistical Society, 2016, 45 : 137 - 148
[10] Analyzing an infinite buffer batch arrival and batch service queue under batch-size-dependent service policy
Pradhan, S.
Gupta, U. C.
Samanta, S. K.
[J]. JOURNAL OF THE KOREAN STATISTICAL SOCIETY, 2016, 45 (01) : 137 - 148

← 1 2 3 4 5 →