THE M/G/1 RETRIAL QUEUE WITH THE SERVER SUBJECT TO STARTING FAILURES

被引：35
作者：
YANG, T [1 ]
LI, H [1 ]
机构：
[1] MT ST VINCENT UNIV,DEPT MATH,HALIFAX B3M 2J6,NS,CANADA
来源：
QUEUEING SYSTEMS | 1994年 / 16卷 / 1-2期
关键词：
PROBABILITY GENERATING FUNCTIONS; RETRIAL QUEUES; STEADY STATE; SERVER VACATIONS; SERVER SETUP TIMES; STOCHASTIC DECOMPOSITION;
D O I：
10.1007/BF01158950
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, we study a retrial queueing model with the server subject to starting failures. We first present the necessary and sufficient condition for the system to be stable and derive analytical results for the queue length distribution as well as some performance measures of the system in steady state. We show that the general stochastic decomposition law for M/G/1 vacation models also holds for the present system. Finally, we demonstrate that a few well known queueing models are special cases of the present model and discuss various interpretations of the stochastic decomposition law when applied to each of these special cases.
引用
收藏
页码：83 / 96
页数：14
相关论文
共 26 条
[1]  
├a┬cinlar E., 1975, INTRO STOCHASTIC PRO
[2]  
BURKE PJ, 1976, IEEE T COMMUN, V24, P175
[3]  
Choi B. D., 1992, QUEUEING SYST, V11, P335
[4]   QUEUES SERVED IN CYCLIC ORDER - WAITING TIMES [J].
COOPER, RB .
BELL SYSTEM TECHNICAL JOURNAL, 1970, 49 (03) :399-+
[5]  
Cox D.R., 2017, THEORY STOCHASTIC PR
[6]  
Doshi B. T., 1986, Queueing Systems Theory and Applications, V1, P29, DOI 10.1007/BF01149327
[7]   A NOTE ON STOCHASTIC DECOMPOSITION IN A GI/G/1 QUEUE WITH VACATIONS OR SET-UP TIMES [J].
DOSHI, BT .
JOURNAL OF APPLIED PROBABILITY, 1985, 22 (02) :419-428
[8]  
Falin G., 1990, Queueing Systems Theory and Applications, V7, P127, DOI 10.1007/BF01158472
[9]   A NOTE ON THE M/G/1 QUEUE WITH SERVER VACATIONS [J].
FUHRMANN, SW .
OPERATIONS RESEARCH, 1984, 32 (06) :1368-1373
[10]   STOCHASTIC DECOMPOSITIONS IN THE M/G/1 QUEUE WITH GENERALIZED VACATIONS [J].
FUHRMANN, SW ;
COOPER, RB .
OPERATIONS RESEARCH, 1985, 33 (05) :1117-1129
123