Characterizing the BMAP/MAP/1 departure process via the ETAQA truncation (2005)
| Citations: | 7 - 6 self |
BibTeX
@MISC{Zhang05characterizingthe,
author = {Qi Zhang and Armin Heindl and Evgenia Smirni},
title = {Characterizing the BMAP/MAP/1 departure process via the ETAQA truncation},
year = {2005}
}
Bookmark
 |
 |
 |
 |
 |
 |
OpenURL
Abstract
We propose a family of finite approximations for the departure process of a BMAP/MAP/1 queue. The departure process approximations are derived via an exact aggregate solution technique (called ETAQA) applied to M/G/1-type Markov processes. The proposed approximations are indexed by a parameter n (n> 1), which determines the size of the output model as n + 1 block levels of the M/G/1-type process. This output approximation preserves exactly the marginal distribution of the true departure process and the lag correlations of the interdeparture times up to lag n − 2. Experimental results support the applicability of the proposed approximation in traffic-based decomposition of queueing networks.
