A factorization property for BMAP/G/1 vacation queues under variable service speed

A factorization property for BMAP/G/1 vacation queues under variable service speed

This paper proposes a simple factorization principle that can be used efficiently and effectively to derive the vector generating function of the queue length at an arbitrary time of the BMAP/G/1/ queueing systems under variable service speed. We first prove the factorization property. Then we provi...

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Main Authors: Baek, Jung Woo, Lee, Ho Woo, Lee, Se Won, Ahn, Soohan
Other Authors: School of Mechanical and Aerospace Engineering
Format: Article
Language:English
Published: 2013
Online Access:https://hdl.handle.net/10356/96948
http://hdl.handle.net/10220/10385
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-969482023-03-04T17:18:21Z A factorization property for BMAP/G/1 vacation queues under variable service speed Baek, Jung Woo Lee, Ho Woo Lee, Se Won Ahn, Soohan School of Mechanical and Aerospace Engineering This paper proposes a simple factorization principle that can be used efficiently and effectively to derive the vector generating function of the queue length at an arbitrary time of the BMAP/G/1/ queueing systems under variable service speed. We first prove the factorization property. Then we provide moments formula. Lastly we present some applications of the factorization principle. Accepted version 2013-06-14T02:28:43Z 2019-12-06T19:37:03Z 2013-06-14T02:28:43Z 2019-12-06T19:37:03Z 2007 2007 Journal Article Baek, J. W., Lee, H. W., Lee, S. W. & Ahn, S.(2007). A factorization property for BMAP/G/1 vacation queues under variable service speed. Annals of Operations Research, 160(1), 19-29. 0254-5330 https://hdl.handle.net/10356/96948 http://hdl.handle.net/10220/10385 10.1007/s10479-007-0292-z 173642 en Annals of operations research © 2007 Springer Science+Business Media, LLC. This is the author created version of a work that has been peer reviewed and accepted for publication by Annals of Operations Research, Springer Science+Business Media, LLC. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at DOI: [http://dx.doi.org/10.1007/s10479-007-0292-z]. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
description This paper proposes a simple factorization principle that can be used efficiently and effectively to derive the vector generating function of the queue length at an arbitrary time of the BMAP/G/1/ queueing systems under variable service speed. We first prove the factorization property. Then we provide moments formula. Lastly we present some applications of the factorization principle.
author2 School of Mechanical and Aerospace Engineering
author_facet School of Mechanical and Aerospace Engineering
Baek, Jung Woo
Lee, Ho Woo
Lee, Se Won
Ahn, Soohan
format Article
author Baek, Jung Woo
Lee, Ho Woo
Lee, Se Won
Ahn, Soohan
spellingShingle Baek, Jung Woo
Lee, Ho Woo
Lee, Se Won
Ahn, Soohan
A factorization property for BMAP/G/1 vacation queues under variable service speed
author_sort Baek, Jung Woo
title A factorization property for BMAP/G/1 vacation queues under variable service speed
title_short A factorization property for BMAP/G/1 vacation queues under variable service speed
title_full A factorization property for BMAP/G/1 vacation queues under variable service speed
title_fullStr A factorization property for BMAP/G/1 vacation queues under variable service speed
title_full_unstemmed A factorization property for BMAP/G/1 vacation queues under variable service speed
title_sort factorization property for bmap/g/1 vacation queues under variable service speed
publishDate 2013
url https://hdl.handle.net/10356/96948
http://hdl.handle.net/10220/10385
_version_ 1759857533623730176

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