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Authors: Aicha Bareche and Djamil Aïssani

Affiliation: University of Béjaïa, Algeria

ISBN: 978-989-758-017-8

Keyword(s): Queueing Systems, Strong Stability, Approximation, Boundary Density Estimation, Student Test, Simulation.

Related Ontology Subjects/Areas/Topics: Agents ; Artificial Intelligence ; Bioinformatics ; Biomedical Engineering ; Enterprise Information Systems ; Information Systems Analysis and Specification ; Methodologies and Technologies ; Operational Research ; Queuing Theory ; Simulation ; Stochastic Processes

Abstract: We consider a statistical methodology for the study of the strong stability of the M/G/1 queueing system after disrupting the arrival flow. More precisely, we use nonparametric density estimation with boundary correction techniques and the statistical Student test to approximate the G/G/1 system by the M/G/1 one, when the general arrivals law G in the G/G/1 system is unknown. By elaborating an appropriate algorithm, we effectuate simulation studies to provide the proximity error between the corresponding arrival distributions of the quoted systems, the approximation error on their stationary distributions and confidence intervals for the difference between their corresponding characteristics.

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Paper citation in several formats:
Bareche A. and Aïssani D. (2014). Statistical Methodology for Approximating G/G/1 Queues by the Strong Stability Technique.In Proceedings of the 3rd International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES, ISBN 978-989-758-017-8, pages 241-248. DOI: 10.5220/0004834002410248

@conference{icores14,
author={Aicha Bareche and Djamil Aïssani},
title={Statistical Methodology for Approximating G/G/1 Queues by the Strong Stability Technique},
booktitle={Proceedings of the 3rd International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,},
year={2014},
pages={241-248},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004834002410248},
isbn={978-989-758-017-8},
}

TY - CONF

JO - Proceedings of the 3rd International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,
TI - Statistical Methodology for Approximating G/G/1 Queues by the Strong Stability Technique
SN - 978-989-758-017-8
AU - Bareche A.
AU - Aïssani D.
PY - 2014
SP - 241
EP - 248
DO - 10.5220/0004834002410248

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