A factorization property for BMAP/G/1 vacation queues under variable service speed |
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| Authors: | Jung Woo Baek Ho Woo Lee Se Won Lee Soohan Ahn |
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| Affiliation: | (1) Department of Systems Management Engineering, Sungkyunkwan University, Suwon, South Korea;(2) Department of Statistics, The University of Seoul, Seoul, South Korea |
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| 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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| Keywords: | BMAP/G/1 Variable service speed Factorization |
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