The finite capacity GI/M/1 queue with server vacations

被引：9

作者：

Karaesmen, F ^{[1
]}

Gupta, SM ^{[1
]}

机构：

[1] NORTHEASTERN UNIV,DEPT MECH IND & MFG ENGN,SNELL ENGN CTR 334,BOSTON,MA 02115

来源：

JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY | 1996年 / 47卷 / 06期

关键词：

queueing; stochastic processes;

D O I：

10.1057/jors.1996.101

中图分类号：

C93 [管理学];

学科分类号：

12 ; 1201 ; 1202 ; 120202 ;

摘要：

We consider the GI/M/1/K queue where the server takes exponentially distributed vacations when there are no customers left to serve in the queue. We obtain the queue length distribution at arrival epochs and random epochs for the multiple vacation case. We present heuristic algorithms to compute the blocking probability for this system. Several numerical examples are presented to analyze the behaviour of the blocking probability and to test the performance of the heuristics.

引用

页码：817 / 828

页数：12

共 50 条

[1] GI/M/1 QUEUE WITH SERVER VACATIONS
CHATTERJEE, U
MUKHERJEE, SP
[J]. JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY, 1990, 41 (01) : 83 - 87
[2] PRIORITIES IN M/G/1 QUEUE WITH SERVER VACATIONS
KELLA, O
YECHIALI, U
[J]. NAVAL RESEARCH LOGISTICS, 1988, 35 (01) : 23 - 34
[3] THE BMAP/GI/1 QUEUE WITH SERVER SET-UP TIMES AND SERVER VACATIONS
FERRANDIZ, JM
[J]. ADVANCES IN APPLIED PROBABILITY, 1993, 25 (01) : 235 - 254
[4] A NOTE ON THE M/G/1 QUEUE WITH SERVER VACATIONS
FUHRMANN, SW
[J]. OPERATIONS RESEARCH, 1984, 32 (06) : 1368 - 1373
[5] Analysis of a GI/M/1 queue with multiple working vacations
Baba, Y
[J]. OPERATIONS RESEARCH LETTERS, 2005, 33 (02) : 201 - 209
[6] On the GI/M/1 Queue with Vacations and Multiple Service Phases
Li, Jianjun
Liu, Liwei
[J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2017, 2017
[7] THE TRANSIENT SOLUTION FOR M/G/1 QUEUE WITH SERVER VACATIONS
唐应辉
[J]. Acta Mathematica Scientia, 1997, (03) : 276 - 282
[8] The transient solution for M/G/1 queue with server vacations
Tang, YH
[J]. ACTA MATHEMATICA SCIENTIA, 1997, 17 (03) : 276 - 282
[9] INDEPENDENT-SERVICE GI/G/1 QUEUE MODEL (WITH SERVER VACATIONS)
FRICKER, C
[J]. ADVANCES IN APPLIED PROBABILITY, 1987, 19 (01) : 289 - 291
[10] THE THRESHOLD POLICY IN THE M/G/1 QUEUE WITH SERVER VACATIONS
KELLA, O
[J]. NAVAL RESEARCH LOGISTICS, 1989, 36 (01) : 111 - 123

← 1 2 3 4 5 →