Transient Analysis of an M/M/1 Queue with Multiple Vacations

被引：9

作者：

Kalidass, Kaliappan ^{[1
]}

Ramanath, Kasturi ^{[1
]}

机构：

[1] Madurai Kamaraj Univ, Sch Math, Madurai 625021, Tamil Nadu, India

来源：

PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH | 2014年 / 10卷 / 01期

关键词：

Markovian queue; Transient probabilities; Multiple vacations; Performance measures;

D O I：

10.18187/pjsor.v10i1.335

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：

In this paper, we have obtained explicit expressions for the time dependent probabilities of the M/M/1 queue with server vacations under a multiple vacation scheme. The corresponding steady state probabilities have been obtained. We also obtain the time dependent performance measures of the systems.

引用

页码：121 / 130

页数：10

共 50 条

[1] Transient analysis of an M/M/1 queue with impatient behavior and multiple vacations
Ammar, Sherif I.
APPLIED MATHEMATICS AND COMPUTATION, 2015, 260 : 97 - 105
[2] Analysis of an M/M/1 driven fluid queue with multiple exponential vacations
Ammar, Sherif I.
APPLIED MATHEMATICS AND COMPUTATION, 2014, 227 : 329 - 334
[3] Analysis of a GI/M/1 queue with multiple working vacations
Baba, Y
OPERATIONS RESEARCH LETTERS, 2005, 33 (02) : 201 - 209
[4] Transient analysis of an M/M/1 queue with variant impatient behavior and working vacations
Sudhesh, R.
Azhagappan, A.
OPSEARCH, 2018, 55 (3-4) : 787 - 806
[5] Analysis of an M/G/1 queue with vacations and multiple phases of operation
Jianjun Li
Liwei Liu
Tao Jiang
Mathematical Methods of Operations Research, 2018, 87 : 51 - 72
[6] Analysis of an M/G/1 queue with vacations and multiple phases of operation
Li, Jianjun
Liu, Liwei
Jiang, Tao
MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 2018, 87 (01) : 51 - 72
[7] M/G/1 queue with multiple working vacations
Wu, De-An
Takagi, Hideaki
PERFORMANCE EVALUATION, 2006, 63 (07) : 654 - 681
[8] THE TRANSIENT SOLUTION FOR M/G/1 QUEUE WITH SERVER VACATIONS
唐应辉
Acta Mathematica Scientia, 1997, (03) : 276 - 282
[9] The transient solution for M/G/1 queue with server vacations
Tang, YH
ACTA MATHEMATICA SCIENTIA, 1997, 17 (03) : 276 - 282
[10] Retraction Note to: Transient analysis of an M/M/1 queue with variant impatient behavior and working vacations
R. Sudhesh
A. Azhagappan
OPSEARCH, 2020, 57 : 260 - 260

← 1 2 3 4 5 →