| Issue |
RAIRO-Oper. Res.
Volume 53, Number 3, July-September 2019
|
|
|---|---|---|
| Page(s) | 767 - 786 | |
| DOI | https://doi.org/10.1051/ro/2017059 | |
| Published online | 24 June 2019 | |
Research Article
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
1
Department of Mathematics University of Annaba, BP.12, Annaba, 23000 Algeria
2
IRIT, site ENSEEIHT, INP Toulouse,BP. 7122, 31071 Toulouse, France
* Corresponding author: zidaninesrine@hotmail.com
Received:
22
October
2016
Accepted:
23
July
2017
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.
Mathematics Subject Classification: 60K25 / 90B22 / 68M20
Key words: Multiserver retrial queue / abandonment / negative customer / ergodicity condition / value extrapolation / algebraic linear system of equations / invertible matrix / numerical method
© EDP Sciences, ROADEF, SMAI 2019
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