The well-posedness of an M/G/1 queue with second optional service and server breakdown

被引：14

作者：

Wang, Wen-Long ^{[1
]}

Xu, Gen-Qi ^{[2
]}

机构：

[1] Shaoxing Univ, Yuanpei Coll, Dept Math, Shaoxing 312000, Zhejiang, Peoples R China

[2] Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 57卷 / 05期

关键词：

Well-posedness; M/G/1 retrial queue; C-0-semigroup; Dissipative operator; RETRIAL QUEUE; RELIABILITY-ANALYSIS;

D O I：

10.1016/j.camwa.2008.09.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the solution of an M/G/1 queue with second optional service and server breakdown is investigated. By using the method of functional analysis, especially, the linear operator theory and the C-0 semigroup theory on Banach space, we prove the well-posedness of the system, and show the existence of a positive solution. (C) 2009 Published by Elsevier Ltd

引用

页码：729 / 739

页数：11

共 14 条

[1]

[Anonymous], 1983, APPL MATH SCI

[2]

Cao J.H, 1982, Acta Math Appl Sin-E, V5, P113

[3]

Choi B.D., 1992, STOCHAST MODELS RELA, P93

[4] The M/M/c retrial queue with geometric loss and feedback [J].

Choi, BD ;

Kim, YC ;

Lee, YW .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1998, 36 (06) :41-52

[5]

CHOI BD, 1992, QUEUEING SYST, V11, P335

[6]

Falin G., 1990, Queueing Systems Theory and Applications, V7, P127, DOI 10.1007/BF01158472

[7]

Goldstein J. A., 1985, Semigroups of Linear Operators and Applications

[8] Queueing models of call centers: An introduction [J].

Koole, G ;

Mandelbaum, A .

ANNALS OF OPERATIONS RESEARCH, 2002, 113 (1-4) :41-59

[9]

Kulkarni V. G., 1990, Queueing Systems Theory and Applications, V7, P191, DOI 10.1007/BF01158474

[10] Reliability analysis of M/G/1 queueing systems with server breakdowns and vacations [J].

Li, W ;

Shi, DH ;

Chao, XL .

JOURNAL OF APPLIED PROBABILITY, 1997, 34 (02) :546-555

← 1 2 →