Asymmetric kernel method in the study of strong stability of the PH/M/1 queuing system

Djabali Yasmina (), Hakmi Sedda (), Zougab Nabil () and Aïssani Djamil ()
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Djabali Yasmina: Research Unit LaMOS, University of Bejaia, 06000 Bejaia, Algeria
Hakmi Sedda: Research Unit LaMOS, University of Bejaia, 06000 Bejaia, Algeria
Zougab Nabil: Research Unit LaMOS and Electrical Engineering Department, University of Bejaia, 06000 Bejaia, Algeria
Aïssani Djamil: Research Unit LaMOS, University of Bejaia, 06000 Bejaia, Algeria

Monte Carlo Methods and Applications, 2024, vol. 30, issue 1, 81-92

Abstract: This paper proposes the nonparametric asymmetric kernel method in the study of strong stability of the PH/M/1 queuing system, after perturbation of arrival distribution to evaluate the proximity of the complex GI/M/1 system, where GI is a unknown general distribution. The class of generalized gamma (GG) kernels is considered because of its several interesting properties and flexibility. A simulation for several models illustrates the performance of the GG asymmetric kernel estimators in the study of strong stability of the PH/M/1, by computing the variation distance and the stability error.

Keywords: Asymmetric GG kernels; bandwidth parameter; GI/M/1 system; PH/M/1 queuing system; strong stability (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1515/mcma-2023-2023

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