Analysis of a finite-buffer bulk-service queue under Markovian arrival process with batch-size-dependent service

被引：55

作者：

Banerjee, A. ^{[1
]}

Gupta, U. C. ^{[2
]}

Chakravarthy, S. R. ^{[3
]}

机构：

[1] Indian Inst Technol BHU, Dept Math Sci, Varanasi 221005, Uttar Pradesh, India

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

[3] Kettering Univ, Dept Ind & Mfg Engn, Flint, MI 48504 USA

来源：

COMPUTERS & OPERATIONS RESEARCH | 2015年 / 60卷

关键词：

Algorithmic probability; General bulk service rule; Markovian arrival process; Phase type distribution; Queue; SINGLE; MODEL; DISTRIBUTIONS; VACATIONS; DELAY;

D O I：

10.1016/j.cor.2015.02.012

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We consider a finite capacity single server queue in which the customers arrive according to a Markovian arrival process The customers are served in batches following a 'general bulk service rule'. The service times, which depend on the size of the batch, are generally distributed. We obtain, in steady-state, the joint distribution of the random variables of interest at various epochs. Efficient computational procedures in the case of phase type services are presented. An illustrative numerical example to bring out the qualitative nature of the model is presented. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：138 / 149

页数：12

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