Journal of Applied Mathematics and Stochastic Analysis
Volume 2005 (2005), Issue 2, Pages 119-132
doi:10.1155/JAMSA.2005.119

Using factorization in analyzing D-BMAP/G/1 queues

Ho Woo Lee,1 Se Won Lee,1 and Jongwoo Jeon2

1Department of Systems Management Engineering, Sungkyunkwan University, Gyeonggi, Suwon 440-746, Korea
2 Department of Statistics, Seoul National University, Seoul 151-742, Korea

Received 12 March 2004; Revised 8 September 2004

Copyright © 2005 Ho Woo Lee et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We demonstrate how one can use the factorization property to derive the queue-length distributions of the discrete-time BMAP/G/1 queues with complex operational behavior during the idle period. The procedure demonstrated in this paper can be applied to the analysis of many other discrete-time BMAP/G/1 queues with more behavioral complexities.