Strong Stability of Queueing Systems and Networks: a Survey and Perspectives

Rabta, Boualem; Lekadir, Ouiza; Aı̈ssani, Djamil

doi:10.1002/9781119755432.ch9

Queueing Theory 1 2021

DOI: 10.1002/9781119755432.ch9

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Strong Stability of Queueing Systems and Networks: a Survey and Perspectives

Boualem Rabta

Ouiza Lekadir

Djamil Aı̈ssani

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2023

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

Djabali,

Hakmi,

Zougab

et al. 2023

Monte Carlo Methods and Applications

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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.

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

Djabali,

Hakmi,

Zougab

et al. 2023

Monte Carlo Methods and Applications

View full text Add to dashboard Cite

show abstract

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Strong Stability of Queueing Systems and Networks: a Survey and Perspectives

Cited by 1 publication

References 40 publications

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

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

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