| Article ID: | iaor20052845 |
| Country: | France |
| Volume: | 38 |
| Issue: | 2 |
| Start Page Number: | 173 |
| End Page Number: | 191 |
| Publication Date: | Apr 2004 |
| Journal: | RAIRO Operations Research |
| Authors: | Liefvoort Appie van de, Mitchell Kenneth, Kumaran Jayesh |
| Keywords: | markov processes |
In this paper we propose a family of finite approximations for the departure process of an ME/ME/1 queue indexed by a parameter k defined as the system size of the finite approximation. The approximations capture the interdeparture times from an ME/ME/1 queue exactly and preserve the lag correlations of inter-event times of the departures from an ME/ME/1 queue up to lag (k-1). ME is the Matrix Exponential distribution.