| Article ID: | iaor20091420 |
| Country: | Netherlands |
| Volume: | 160 |
| Issue: | 1 |
| Start Page Number: | 19 |
| End Page Number: | 29 |
| Publication Date: | Apr 2008 |
| Journal: | Annals of Operations Research |
| Authors: | Lee Ho Woo, Ahn Soohan, Baek Jung Woo, Lee Se Won |
| Keywords: | markov processes |
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.