Statistical analysis of the estimates of some stationary performances of the unreliable M/M/1/N queue with Bernoulli feedback-Reference-Cited by-同舟云学术

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

Published:2023-05-03 Issue:4 Volume:29 Page:351-366
ISSN:0929-9629
Container-title:Monte Carlo Methods and Applications
language:en
Short-container-title:

Author:

Nita Hadjer¹,Afroun Faïrouz²,Cherfaoui Mouloud³,Aïssani Djamil⁴

Affiliation:

1. Laboratory of Applied Mathematics , Mathematics Department , University of Biskra , 07000 Biskra , Algeria

2. Laboratory of Pure and Applied Mathematics , University of Tizi-Ouzou , 15000 Tizi-Ouzou , Algeria

3. Mathematics Department , University of Biskra , 07000 Biskra ; and Research Unit LaMOS (Modeling and Optimization of Systems), University of Bejaia, 06000 Bejaia , Algeria

4. Research Unit LaMOS (Modeling and Optimization of Systems) , University of Bejaia , 06000 Bejaia , Algeria

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Statistics and Probability

Link

https://www.degruyter.com/document/doi/10.1515/mcma-2023-2004/pdf

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