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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| التنسيق: | مقال |
| اللغة: | English |
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2013
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| الوصول للمادة أونلاين: | https://hdl.handle.net/10356/96948 http://hdl.handle.net/10220/10385 |
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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 |