Blocked network of tandem queues with withdrawal
Kragujevac Journal of Mathematics, Tome 23 (2001) no. 1
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
Kragujevac J. Math. 23 (2001) 63-73.
BLOCKED NETWORK OF TANDEM QUEQUES WITH WITHDRAWALAlfred Aanu Akinsete
Department of Statistics, University of
Transkei, Private Bag X1, Umtata. Eastern Cape Province, Republic
of South Africa
(Received September 9, 1999) Abstract. We consider a network of two queues in tandem with one
server in the first queue, and nł1 in the second queue.
Customers access the system through the first queue in accordance
with Poisson input having parameter l. Holding times are
exponentially distributed with independent and identical random
variables having rates m1 and m2 at the first and
second queues respectively. A blocking phenomenon is observed in
the system with empty buffer between stages, bringing about a
withdrawal effect. We obtain the state probabilities and observe
that the system has no product form.
@article{KJM_2001_23_1_a7,
author = {Alfred Aanu Akinsete},
title = {Blocked network of tandem queues with withdrawal},
journal = {Kragujevac Journal of Mathematics},
pages = {63 - 73},
publisher = {mathdoc},
volume = {23},
number = {1},
year = {2001},
zbl = {1003.60086},
url = {http://geodesic.mathdoc.fr/item/KJM_2001_23_1_a7/}
}
Alfred Aanu Akinsete. Blocked network of tandem queues with withdrawal. Kragujevac Journal of Mathematics, Tome 23 (2001) no. 1. http://geodesic.mathdoc.fr/item/KJM_2001_23_1_a7/