BMAP/G/1/N queue with vacations and limited service discipline
type: Item
instance of: scholarly article
title: BMAP/G/1/N queue with vacations and limited service discipline
zbMATH Open document ID: 1105.60069
author: N. E. Zubov
published in: Applied Mathematics and Computation
publication date: 2006-10-31T00:00:00Z
review text: The paper considers a BMAP/G/1/N queue with single (multiple) vacation(s) under limited service discipline, i.e., a fixed limit \(L\) is placed before the server and the server will at most serve \(L\) customers during a busy period before going for vacation(s). Batches which upon arrival find not enough space in the buffer are either filly rejected, or a part of that batch is rejected. Section 2 gives the description of the model. Section 3 presents an analytic analysis of the model queue length distribution at various epochs. In Sections 4 and 5, the authors derive performance measures and describe the computational procedure along with numerical results.
reviewed by: Oleg K. Zakusilo
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 90B22
zbMATH DE Number: 5069186
zbMATH Keywords: Finite buffer
zbMATH Keywords: batch Markovian arrival process
MaRDI profile type: Publication
full work available at URL: j.amc.2006.01.006
OpenAlex ID: W2048345525
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DOI: 10.1016/J.AMC.2006.01.006
description: scientific article; zbMATH DE number 5069186