Sensitivity analysis of the M/M/1 retrial queue with working vacations and vacation interruption

This article proposes a methodology, based on the use of a Taylor series expansion, for incorporating epistemic uncertainties in computing performance measures of retrial queueing models. Specifically, we investigate the M/M/1 retrial queue with finite size orbit, working vacation interruption, and...

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Bibliographic Details
Published inInternational journal of management science and engineering management Vol. 14; no. 4; pp. 293 - 303
Main Authors Ameur, Lounes, Berdjoudj, Louiza, Abbas, Karim
Format Journal Article
LanguageEnglish
Published Taylor & Francis 02.10.2019
Subjects
Monte Carlo simulation
parameter uncertainty
Retrial queues
Sobol's indices
Taylor-series expansions
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Summary:This article proposes a methodology, based on the use of a Taylor series expansion, for incorporating epistemic uncertainties in computing performance measures of retrial queueing models. Specifically, we investigate the M/M/1 retrial queue with finite size orbit, working vacation interruption, and classical retrial policy. The sensitivity analysis of the performance measures of the studied model is also provided. This analysis includes the estimation of the expected value and the variance of the performance measures associated with the studied queueing model. The efficiency of the proposed algorithm is assessed on several numerical examples.
ISSN:1750-9653
1750-9661
DOI:10.1080/17509653.2019.1566034