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In a multi server queuing system, buffer size is often larger than the number of servers. This necessitates queuing and waiting for some customers. Customers become impatient while waiting for service. Additionally, they may also become impatient if service is not offered at the desired rate. This paper analyses a finite buffer multi server queuing system with the additional restriction that customers may balk as well as renege. Closed form expressions of a number of performance measures are presented. A design problem is discussed to demonstrate the results derived.
@article{RO_2012__46_3_189_0,
author = {Pallabi, Medhi and Choudhury, Amit},
title = {Aspects of {Impatience} in a {Finite} {Buffer} {Queue}},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {189--209},
publisher = {EDP-Sciences},
volume = {46},
number = {3},
year = {2012},
doi = {10.1051/ro/2012014},
mrnumber = {2989083},
zbl = {1250.60037},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/ro/2012014/}
}
TY - JOUR AU - Pallabi, Medhi AU - Choudhury, Amit TI - Aspects of Impatience in a Finite Buffer Queue JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2012 SP - 189 EP - 209 VL - 46 IS - 3 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/ro/2012014/ DO - 10.1051/ro/2012014 LA - en ID - RO_2012__46_3_189_0 ER -
%0 Journal Article %A Pallabi, Medhi %A Choudhury, Amit %T Aspects of Impatience in a Finite Buffer Queue %J RAIRO - Operations Research - Recherche Opérationnelle %D 2012 %P 189-209 %V 46 %N 3 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/ro/2012014/ %R 10.1051/ro/2012014 %G en %F RO_2012__46_3_189_0
Pallabi, Medhi; Choudhury, Amit. Aspects of Impatience in a Finite Buffer Queue. RAIRO - Operations Research - Recherche Opérationnelle, Tome 46 (2012) no. 3, pp. 189-209. doi: 10.1051/ro/2012014
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