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

Jung Woo Baek; Ho Woo Lee; Se Won Lee; Soohan Ahn

doi:10.1007/s10479-007-0292-z

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

Jung Woo Baek
, Ho Woo Lee
, Se Won Lee
, Soohan Ahn

Department of Statistics

Sungkyunkwan University

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	19-29
Number of pages	11
Journal	Annals of Operations Research
Volume	160
Issue number	1
DOIs	https://doi.org/10.1007/s10479-007-0292-z
State	Published - Apr 2008

Keywords

BMAP/G/1
Factorization
Variable service speed

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10.1007/s10479-007-0292-z

Cite this

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title = "A factorization property for BMAP/G/1 vacation queues under variable service speed",

abstract = "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.",

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AU - Baek, Jung Woo

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AU - Ahn, Soohan

PY - 2008/4

Y1 - 2008/4

N2 - 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.

AB - 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.

KW - BMAP/G/1

KW - Factorization

KW - Variable service speed

UR - https://www.scopus.com/pages/publications/39249083629

U2 - 10.1007/s10479-007-0292-z

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M3 - Article

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SN - 0254-5330

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EP - 29

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JF - Annals of Operations Research

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ER -

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

Abstract

Keywords

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