Statistical analysis of the estimates of some stationary performances of the unreliable M/M/1/N queue with Bernoulli feedback

Nita Hadjer (), Afroun Faïrouz (), Cherfaoui Mouloud () and Aïssani Djamil ()
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Nita Hadjer: Laboratory of Applied Mathematics, Mathematics Department, University of Biskra, 07000 Biskra, Algeria
Afroun Faïrouz: Laboratory of Pure and Applied Mathematics, University of Tizi-Ouzou, 15000 Tizi-Ouzou, Algeria
Cherfaoui Mouloud: Mathematics Department, University of Biskra, 07000 Biskra; and Research Unit LaMOS (Modeling and Optimization of Systems), University of Bejaia, 06000 Bejaia, Algeria
Aïssani Djamil: Research Unit LaMOS (Modeling and Optimization of Systems), University of Bejaia, 06000 Bejaia, Algeria

Monte Carlo Methods and Applications, 2023, vol. 29, issue 4, 351-366

Abstract: In this work, we considered the parametric estimation of the characteristics of the M / M / 1 / N {M/M/1/N} waiting model with Bernoulli feedback. Through a Monte-Carlo simulation study, we have illustrated the effect of the estimation of the starting parameters of the considered waiting system on the statistical properties of its performance measures estimates, when these latter are obtained using the plug-in method. In addition, several types of convergence (bias, variance, MSE, in law) of these performance measure estimators have also been showed by simulation.

Keywords: Markovian queueing models; performance measures; box plot; estimation; compliance tests; simulation (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:bpj:mcmeap:v:29:y:2023:i:4:p:351-366:n:2

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DOI: 10.1515/mcma-2023-2004

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