On the finite-buffer bulk-service queue with general independent arrivals:: GI/M[b]/1/N

被引：21

作者：

Laxmi, PV ^{[1
]}

Gupta, UC ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math, Kharagpur 721302, W Bengal, India

来源：

OPERATIONS RESEARCH LETTERS | 1999年 / 25卷 / 05期

关键词：

finite-buffer; bulk-service; blocking probability; queue; waiting time;

D O I：

10.1016/S0167-6377(99)00032-2

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 a single server finite-buffer bulk-service queue in which the interarrival and service times are arbitrarily and exponentially distributed, respectively. The service is performed in batches of maximum size b. The distributions of number of customers in the queue at pre-arrival and arbitrary epochs have been obtained. In addition, analysis of waiting time in the queue is also carried out. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：241 / 245

页数：5

共 7 条

[1] A bulk service GI/M/1 queue with service rates depending on service batch size [J].

Baba, Y .

JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF JAPAN, 1996, 39 (01) :25-35

[2]

Chaudhry M. L., 1987, Queueing Systems Theory and Applications, V2, P93, DOI 10.1007/BF01158395

[3] Modelling and analysis of M/Ga,b/1/N queue -: A simple alternative approach [J].

Chaudhry, ML ;

Gupta, UC .

QUEUEING SYSTEMS, 1999, 31 (1-2) :95-100

[4]

CHAUDHRY ML, 1983, FIRST COURSE BULK QU

[5]

Chaudhry ML, 1991, QPACK SOFTWARE PACKA

[6]

Gold H., 1993, Queueing Systems Theory and Applications, V14, P413, DOI 10.1007/BF01158876

[7] A GENERAL CLASS OF BULK QUEUES WITH POISSON INPUT [J].

NEUTS, MF .

ANNALS OF MATHEMATICAL STATISTICS, 1967, 38 (03) :759-&

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