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1. 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.

Author

Nesrine, Zidani, Pierre, Spiteri, and Natalia, Djellab

Subjects
EXTRAPOLATION, NEW trials, POISSON processes, ALGEBRAIC equations, CALL centers, COMPUTER systems
Abstract

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. [ABSTRACT FROM AUTHOR]

Published
2019
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2. 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

Author

Natalia Djellab, Nesrine Zidani, Pierre Spiteri, Université Badji Mokhtar - Annaba [Annaba] (UBMA), Traitement et Compréhension d’Images (IRIT-TCI), Institut de recherche en informatique de Toulouse (IRIT), Université Toulouse 1 Capitole (UT1), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Université Toulouse - Jean Jaurès (UT2J)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS)-Institut National Polytechnique (Toulouse) (Toulouse INP), Université Fédérale Toulouse Midi-Pyrénées-Université Toulouse 1 Capitole (UT1), Université Fédérale Toulouse Midi-Pyrénées, Institut National Polytechnique (Toulouse) (Toulouse INP), Université Toulouse 1 Capitole (UT1)-Université Toulouse - Jean Jaurès (UT2J)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS)-Institut National Polytechnique (Toulouse) (Toulouse INP), Université Fédérale Toulouse Midi-Pyrénées-Université Toulouse 1 Capitole (UT1)-Université Toulouse - Jean Jaurès (UT2J)-Université Toulouse III - Paul Sabatier (UT3), and Département de mathématiques (Faculté des Sciences Université Badji Mokhtar)

Subjects
0209 industrial biotechnology, Mathematical optimization, 0211 other engineering and technologies, M/M/1 queue, 02 engineering and technology, Retrial queue, Management Science and Operations Research, Theoretical Computer Science, ergodicity condition, 020901 industrial engineering & automation, Applied mathematics, negative customer, [INFO]Computer Science [cs], Mathematics, 021103 operations research, M/G/k queue, numerical method, M/D/c queue, invertible matrix, algebraic linear system of equations, M/M/∞ queue, abandonment, Computer Science Applications, multiserver retrial queue, Burke's theorem, M/G/1 queue, value extrapolation, M/M/c queue
Abstract

International audience; This paper deals with a retrial queuing 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.

Published
2018
Full Text
View/download PDF

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