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

Research paper by Jung Woo Baek, Ho Woo Lee, Se Won Lee, Soohan Ahn

Indexed on: 01 Dec '07Published on: 01 Dec '07Published in: Annals of Operations Research



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.