This paper deals with a retrial queueing system M/M/C/K with exponential abandonment at which positive and negative primary customers arrive according to Poisson processes. This model is of practical interest: it permits to analyze the performance in call centers or multiprocessor computer systems. For model under study, we find the ergodicity condition and also the approximate solution by applying Value Extrapolation method which includes solving of some algebraic system of equations. To this end, we have resolved the algebraic system in question by different numerical methods. We present also numerical results to analyze the system performance.
Accepté le :
DOI : 10.1051/ro/2017059
Mots-clés : Multiserver retrial queue, abandonment, negative customer, ergodicity condition, value extrapolation, algebraic linear system of equations, invertible matrix, numerical method
@article{RO_2019__53_3_767_0,
author = {Nesrine, Zidani and Pierre, Spiteri and Natalia, Djellab},
title = {Numerical solution for the performance characteristics of the {M/M/C/K} retrial queue with negative customers and exponential abandonments by using value extrapolation method},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {767--786},
publisher = {EDP-Sciences},
volume = {53},
number = {3},
year = {2019},
doi = {10.1051/ro/2017059},
mrnumber = {3973143},
zbl = {1423.60146},
language = {en},
url = {http://www.numdam.org/articles/10.1051/ro/2017059/}
}
TY - JOUR AU - Nesrine, Zidani AU - Pierre, Spiteri AU - Natalia, Djellab TI - Numerical solution for the performance characteristics of the M/M/C/K retrial queue with negative customers and exponential abandonments by using value extrapolation method JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2019 SP - 767 EP - 786 VL - 53 IS - 3 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro/2017059/ DO - 10.1051/ro/2017059 LA - en ID - RO_2019__53_3_767_0 ER -
%0 Journal Article %A Nesrine, Zidani %A Pierre, Spiteri %A Natalia, Djellab %T Numerical solution for the performance characteristics of the M/M/C/K retrial queue with negative customers and exponential abandonments by using value extrapolation method %J RAIRO - Operations Research - Recherche Opérationnelle %D 2019 %P 767-786 %V 53 %N 3 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro/2017059/ %R 10.1051/ro/2017059 %G en %F RO_2019__53_3_767_0
Nesrine, Zidani; Pierre, Spiteri; Natalia, Djellab. Numerical solution for the performance characteristics of the M/M/C/K retrial queue with negative customers and exponential abandonments by using value extrapolation method. RAIRO - Operations Research - Recherche Opérationnelle, Tome 53 (2019) no. 3, pp. 767-786. doi : 10.1051/ro/2017059. http://www.numdam.org/articles/10.1051/ro/2017059/
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