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Consider an M/M/1 retrial queue with collisions and working vacation interruption under N-policy. We use a quasi birth and death process to describe the considered system and derive a condition for the stability of the model. Using the matrix-analytic method, we obtain the stationary probability distribution and some performance measures. Furthermore, we prove the conditional stochastic decomposition for the queue length in the orbit. Finally, some numerical examples are presented.
@article{RO_2012__46_4_355_0,
author = {Tao, Li and Liu, Zaiming and Wang, Zhizhong},
title = {M/M/1 retrial queue with collisions and working vacation interruption under {N-policy}},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {355--371},
publisher = {EDP-Sciences},
volume = {46},
number = {4},
year = {2012},
doi = {10.1051/ro/2012022},
zbl = {1270.60107},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/ro/2012022/}
}
TY - JOUR AU - Tao, Li AU - Liu, Zaiming AU - Wang, Zhizhong TI - M/M/1 retrial queue with collisions and working vacation interruption under N-policy JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2012 SP - 355 EP - 371 VL - 46 IS - 4 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/ro/2012022/ DO - 10.1051/ro/2012022 LA - en ID - RO_2012__46_4_355_0 ER -
%0 Journal Article %A Tao, Li %A Liu, Zaiming %A Wang, Zhizhong %T M/M/1 retrial queue with collisions and working vacation interruption under N-policy %J RAIRO - Operations Research - Recherche Opérationnelle %D 2012 %P 355-371 %V 46 %N 4 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/ro/2012022/ %R 10.1051/ro/2012022 %G en %F RO_2012__46_4_355_0
Tao, Li; Liu, Zaiming; Wang, Zhizhong. M/M/1 retrial queue with collisions and working vacation interruption under N-policy. RAIRO - Operations Research - Recherche Opérationnelle, Tome 46 (2012) no. 4, pp. 355-371. doi: 10.1051/ro/2012022
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