A factorization property for BMAP/G/1 vacation queues under variable service speed
Baek, Jung Woo
Lee, Ho Woo
Lee, Se Won
Date of Issue2007
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.
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].