THE TRANSIENT SOLUTION FOR M/G/1 QUEUE WITH SERVER VACATIONS

被引：0

作者：

唐应辉

机构：

来源：

Acta Mathematica Scientia | 1997年 / 03期

关键词：

Server-vacation; queue length; transient solution; stochastic decomposion;

D O I：

暂无

中图分类号：

O226 [排队论（随机服务系统）];

学科分类号：

070105 ; 1201 ;

摘要：

In this paper, the transient solutions for M/G/1 queues with single server vacation and multiple server vacations are firstly studied, and the recursion expressions of their Laplace transform are given. Further the distribution and stochastic decomposition result of the queue length at a random point in equilibrium are directly obtained from the transient solution. As will be seen this paper provides a intuitive and elegant method for studying transient solutions for M/G/1 queues with single server.

引用

页码：276 / 282

页数：7

共 50 条

[41] M/G/1 QUEUE WITH CONTROLLABLE VACATIONS AND OPTIMIZATION OF VACATION POLICY
田乃硕
张大庆
曹成弦
[J]. Acta Mathematicae Applicatae Sinica, 1991, (04) : 363 - 373
[42] Computation of the transient solution of M/M/1 queue
J. L. Jain
A. Jiran Meitei
[J]. OPSEARCH, 2007, 44 (1) : 100 - 113
[43] Transient Solution for Queue-Size Distribution in a Certain Finite-Buffer Model with Server Working Vacations
Kempa, Wojciech M.
Kobielnik, Martyna
[J]. INFORMATION AND SOFTWARE TECHNOLOGIES, ICIST 2016, 2016, 639 : 426 - 440
[44] The transient solution to M/Ek/1 queue
Griffiths, JD
Leonenko, GM
Williams, JE
[J]. OPERATIONS RESEARCH LETTERS, 2006, 34 (03) : 349 - 354
[45] ANALYSIS OF AN M/M/1 QUEUE WITH VACATIONS AND IMPATIENCE TIMERS WHICH DEPEND ON THE SERVER'S STATES
Yue, Dequan
Yue, Wuyi
Zhao, Guoxi
[J]. JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2016, 12 (02) : 653 - 666
[46] Transient Analysis of a Repairable Single Server Queue with Working Vacations and System Disasters
Sampath, M. I. G. Suranga
Kalidass, K.
[J]. DISTRIBUTED COMPUTER AND COMMUNICATION NETWORKS (DCCN 2019), 2019, 1141 : 258 - 272
[47] M/G/1//N QUEUES WITH SERVER VACATIONS AND EXHAUSTIVE SERVICE
TAKAGI, H
[J]. OPERATIONS RESEARCH, 1994, 42 (05) : 926 - 939
[48] M/M/1 retrial queue with working vacations
Do, Tien Van
[J]. ACTA INFORMATICA, 2010, 47 (01) : 67 - 75
[49] On the Mx/G/1 queue with feedback and optional server vacations based on a single vacation policy
Madan, KC
Al-Rawwash, M
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2005, 160 (03) : 909 - 919
[50] Performance analysis of M/G/1 queue with working vacations and vacation interruption
Zhang, Mian
Hou, Zhengting
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 234 (10) : 2977 - 2985

← 1 2 3 4 5 →