Evidence map›Paper›PMID 34796091›Full record

ArticleArabian journal of mathematics2021

Sensitivity analysis of queueing models based on polynomial chaos approach.

Lounes Ameur, Lahcene Bachioua

Abstract read
In one paragraph

Article in Arabian journal of mathematics, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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0citing papers in PubMed
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1 · What the graph read from it

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2 · The registry

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3 · Its place in the literature

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0 citing papers in PubMed.

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4 · The record

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5 · Who and what money

Authors and funding

2 authors.

Lounes AmeurDepartment of Technology, 20 August 1955 University of Skikda, Skikda, Algeria.ORCID 0000-0002-5184-1948
Lahcene BachiouaDepartment of Basic Sciences, Preparatory Year, University of Ha'il, P.O. Box 2440, Hail, Kingdom of Saudi Arabia.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

Queueing systems are modeled by equations which depend on a large number of input parameters. In practice, significant uncertainty is associated with estimates of these parameters, and this uncertainty must be considered in the analysis of the model. The objective of this paper is to propose a sensitivity analysis approach for a queueing model, presenting parameters that follow a Gaussian distribution. The approach consists in decomposing the output of the model (stationary distribution of the model) into a polynomial chaos. The sensitivity indices, allowing to quantify the contribution of each parameter to the variance of the output, are obtained directly from the coefficients of decomposition. The proposed approach is then applied to M/G/1/N queueing model. The most influential parameters are highlighted. Finally several numerical and data examples are sketched out to illustrate the accuracy of the proposed method and compare them with Monte Carlo simulation. The results of this work will be useful to practitioners in various fields of theoretical and applied sciences.

Indexed as

00A6900A7100A7205D4060J2260K2060K2565C05

Identifiers

PMID34796091
PMCPMC8475466

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.