Voir la notice de l'article provenant de la source Numdam
This paper analyzes a discrete-time finite buffer renewal input queue with multiple working vacations where services are performed in batches of maximum size “b”. The service times both during a regular service period and vacation period and vacation times are geometrically distributed. Employing the supplementary variable and imbedded Markov chain techniques, we derive the steady-state queue length distributions at pre-arrival, arbitrary and outside observer's observation epochs. Based on the queue length distributions, some performance measures and waiting time distribution in the queue have been discussed. Finally, numerical results showing the effect of model parameters on the key performance measures are presented.
Keywords: discrete-time, finite buffer, batch service, multiple working vacations, waiting time
@article{RO_2014__48_4_521_0,
author = {Vijaya Laxmi, P. and Jyothsna, Kanithi},
title = {Finite buffer $GI/Geo/ 1$ batch servicing queue with multiple working vacations},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {521--543},
publisher = {EDP-Sciences},
volume = {48},
number = {4},
year = {2014},
doi = {10.1051/ro/2014022},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/ro/2014022/}
}
TY - JOUR AU - Vijaya Laxmi, P. AU - Jyothsna, Kanithi TI - Finite buffer $GI/Geo/ 1$ batch servicing queue with multiple working vacations JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2014 SP - 521 EP - 543 VL - 48 IS - 4 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/ro/2014022/ DO - 10.1051/ro/2014022 LA - en ID - RO_2014__48_4_521_0 ER -
%0 Journal Article %A Vijaya Laxmi, P. %A Jyothsna, Kanithi %T Finite buffer $GI/Geo/ 1$ batch servicing queue with multiple working vacations %J RAIRO - Operations Research - Recherche Opérationnelle %D 2014 %P 521-543 %V 48 %N 4 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/ro/2014022/ %R 10.1051/ro/2014022 %G en %F RO_2014__48_4_521_0
Vijaya Laxmi, P.; Jyothsna, Kanithi. Finite buffer $GI/Geo/ 1$ batch servicing queue with multiple working vacations. RAIRO - Operations Research - Recherche Opérationnelle, Tome 48 (2014) no. 4, pp. 521-543. doi: 10.1051/ro/2014022
Cité par Sources :