A note on an M/GI/1/N queue with vacation time and exhaustive service discipline

被引：26

作者：

Frey, A ^{[1
]}

Takahashi, Y ^{[1
]}

机构：

[1] NIPPON TELEGRAPH & TEL PUBL CORP, MULTIMEDIA NETWORKS LABS, MUSASHINO, TOKYO 180, JAPAN

来源：

OPERATIONS RESEARCH LETTERS | 1997年 / 21卷 / 02期

关键词：

M/GI/1/N-type queue; server vacation; exhaustive; departure epoch; arrival epoch; queue length;

D O I：

10.1016/S0167-6377(97)00027-8

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We consider an M/GI/1/N queue with vacation time and exhaustive service discipline, the same queue as in Lee [Oper. Res. 32 (1984) 774-784]. Focusing only on the service completion epochs (as opposed to both service completion epochs and vacation completion epochs by Lee), we present a simple analysis for the queue length distribution at an arbitrary time as well as for the waiting time distribution. (C) 1997 Elsevier Science B.V.

引用

页码：95 / 100

页数：6

共 50 条

[1] An explicit solution for an M/GI/1/N queue with vacation time and exhaustive service discipline
Frey, A
Takahashi, Y
[J]. JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF JAPAN, 1998, 41 (03) : 430 - 441
[2] A simple analysis for an M/GI/1/N queue with vacation time and exhaustive service discipline
Frey, A
Takahashi, Y
[J]. INFORMATION INTELLIGENCE AND SYSTEMS, VOLS 1-4, 1996, : 3057 - 3062
[3] M/G/1/N QUEUE WITH VACATION TIME AND EXHAUSTIVE SERVICE DISCIPLINE
LEE, TT
[J]. OPERATIONS RESEARCH, 1984, 32 (04) : 774 - 784
[4] M/G/1/N QUEUE WITH VACATION TIME AND EXHAUSTIVE SERVICE DISCIPLINE.
Lee, Tony T.
[J]. 1600, (32):
[5] M/G/1/N QUEUE WITH VACATION TIME AND LIMITED SERVICE DISCIPLINE
LEE, TT
[J]. PERFORMANCE EVALUATION, 1989, 9 (03) : 181 - 190
[6] ON SOME DISTRIBUTIONS OF THE M(X)/G/1 QUEUE WITH SERVER VACATION AND EXHAUSTIVE SERVICE DISCIPLINE
CHATTERJEE, U
MUKHERJEE, SP
[J]. ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH, 1990, 7 (01) : 82 - 91
[7] THE BACKLOG AND DEPLETION-TIME PROCESS FOR M/G/1 VACATION MODELS WITH EXHAUSTIVE SERVICE DISCIPLINE
KEILSON, J
RAMASWAMY, R
[J]. JOURNAL OF APPLIED PROBABILITY, 1988, 25 (02) : 404 - 412
[8] The GI/M/1 queue and the GI/Geo/1 queue both with single working vacation
Chae, Kyung C.
Lim, Dae E.
Yang, Won S.
[J]. PERFORMANCE EVALUATION, 2009, 66 (07) : 356 - 367
[9] THE DEPARTURE PROCESS OF THE M/G/1 QUEUING MODEL WITH SERVER VACATION AND EXHAUSTIVE SERVICE DISCIPLINE
TANG, YH
[J]. JOURNAL OF APPLIED PROBABILITY, 1994, 31 (04) : 1070 - 1082
[10] Exhaustive Vacation Queue with Dependent Arrival and Service Processes
Horvath, Gabor
Saffer, Zsolt
Telek, Miklos
[J]. QUEUEING THEORY AND NETWORK APPLICATIONS, 2016, 383 : 19 - 27

← 1 2 3 4 5 →