In this paper we propose a family of finite approximations for the departure process of an ME/ME/1 queue indexed by a parameter 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 .
@article{RO_2004__38_2_173_0,
author = {Kumaran, Jayesh and Mitchell, Kenneth and Van de Liefvoort, Appie},
title = {Characterization of the departure process from an {ME/ME/1} queue},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {173--191},
year = {2004},
publisher = {EDP Sciences},
volume = {38},
number = {2},
doi = {10.1051/ro:2004018},
mrnumber = {2081836},
zbl = {1092.90015},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro:2004018/}
}
TY - JOUR AU - Kumaran, Jayesh AU - Mitchell, Kenneth AU - Van de Liefvoort, Appie TI - Characterization of the departure process from an ME/ME/1 queue JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2004 SP - 173 EP - 191 VL - 38 IS - 2 PB - EDP Sciences UR - https://www.numdam.org/articles/10.1051/ro:2004018/ DO - 10.1051/ro:2004018 LA - en ID - RO_2004__38_2_173_0 ER -
%0 Journal Article %A Kumaran, Jayesh %A Mitchell, Kenneth %A Van de Liefvoort, Appie %T Characterization of the departure process from an ME/ME/1 queue %J RAIRO - Operations Research - Recherche Opérationnelle %D 2004 %P 173-191 %V 38 %N 2 %I EDP Sciences %U https://www.numdam.org/articles/10.1051/ro:2004018/ %R 10.1051/ro:2004018 %G en %F RO_2004__38_2_173_0
Kumaran, Jayesh; Mitchell, Kenneth; Van de Liefvoort, Appie. Characterization of the departure process from an ME/ME/1 queue. RAIRO - Operations Research - Recherche Opérationnelle, Tome 38 (2004) no. 2, pp. 173-191. doi: 10.1051/ro:2004018
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