The Two-Phases-Service M/M/1/N Queuing System with the Server Breakdown and Multiple Vacations

被引：0

作者：

Hui, Zeng ^{[1
]}

Wei, Guan ^{[1
]}

机构：

[1] Yanshan Univ, Sch Sci, Qinhuangdao, Peoples R China

来源：

INFORMATION COMPUTING AND APPLICATIONS | 2011年 / 7030卷

关键词：

two phases of service; the server breakdown; multiple vacations; steady-state probability; blocked matrix method; SERVICE;

D O I：

暂无

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

An two-phases-service M/M/1/N queuing system with the server breakdown and multiple vacations was considered. Firstly. equations of steady-state probability were derived by applying the Markov process theory. Then, we obtained matrix form solution of steady-state probability by using blocked matrix method. Finally, some performance measures of the system such as the expected number of customers in the system and the expected number of customers in the queue were also presented.

引用

页码：200 / 207

页数：8

共 10 条

[1]

Feng Y., 2009, COLL MATH, V25, P86

[2] A vacation queueing model with service breakdowns [J].

Gray, WJ ;

Wang, PP ;

Scott, M .

APPLIED MATHEMATICAL MODELLING, 2000, 24 (5-6) :391-400

[3] An M/G/1 queue with second optional service [J].

Madan, KC .

QUEUEING SYSTEMS, 2000, 34 (1-4) :37-46

[4] A single server Poisson input queue with a second optional channel [J].

Medhi, J .

QUEUEING SYSTEMS, 2002, 42 (03) :239-242

[5]

[唐应辉 TANG Ying-hui], 2009, [系统工程理论与实践, Systems Engineering-Theory & Practice], V29, P135

[6]

Tian R, 2007, OPERATION RES MANAGE, V4, P56

[7] Untitled [J].

Wu JiaRui .

CHINESE SCIENCE BULLETIN, 2009, 54 (01) :1-1

[8]

Yue D, 2008, CHINESE J ENG MATH, V5, P943

[9]

Yue D, 2008, SYSTEMS ENG THEORY P, V2, P89

[10]

Yue D., 2006, Int. J. Pure Appl. Math., V28, P101

← 1 →