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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Baek, J.W., Lee, H.W., Lee, S.W. et al. A factorization property for BMAP/G/1 vacation queues under variable service speed. Ann Oper Res 160, 19–29 (2008). https://doi.org/10.1007/s10479-007-0292-z
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DOI: https://doi.org/10.1007/s10479-007-0292-z