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

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.