Kernel density in the use of the strong stability method to evaluate the proximity of G/M/1 and M/M/1 systems

Aïcha Bareche; Djamil Aïssani

2nd International ICST Conference on Performance Evaluation Methodologies and Tools

Research Article

Kernel density in the use of the strong stability method to evaluate the proximity of G/M/1 and M/M/1 systems

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Cite: BibTeX Plain Text

@INPROCEEDINGS{10.4108/valuetools.2007.1969,
    author={A\~{n}cha Bareche and Djamil A\~{n}ssani},
    title={Kernel density in the use of the strong stability method to evaluate the proximity of G/M/1 and M/M/1 systems},
    proceedings={2nd International ICST Conference on Performance Evaluation Methodologies and Tools},
    proceedings_a={VALUETOOLS},
    year={2010},
    month={5},
    keywords={Queueing systems strnog stability approximation kernel density bandwidth boundary effects.},
    doi={10.4108/valuetools.2007.1969}
}

Aïcha Bareche
Djamil Aïssani
Year: 2010
Kernel density in the use of the strong stability method to evaluate the proximity of G/M/1 and M/M/1 systems
VALUETOOLS
ICST
DOI: 10.4108/valuetools.2007.1969

Aïcha Bareche¹^,*, Djamil Aïssani²^,*

1: Faculty of sciences and engineering sciences A/Mira University of Béjaïa, Algeria,06000
2: Laboratory of modelisation and optimization of systems A/Mira University of Béjaïa, Algeria, 06000.

*Contact email: [email protected], [email protected]

Abstract

Bouallouche [3] has applied the strong stability method to study the proximity of the G/M/1 and M/M/1 systems when the general distribution of arrivals G is assumed to be hyper-exponantial. In this paper, we show the applicability of the strong stability method to evaluate an approximation error of the G/M/1 and M/M/1 systems when the general distribution of arrivals G is unknown and must be estimated by the means of the kernel density estimation method. The boundary effects are taken in consideration. A simulation study is effectuated.

Keywords: Queueing systems, strnog stability, approximation, kernel density, bandwidth, boundary effects.

Published: 2010-05-16
Modified: 2011-09-14

: http://dx.doi.org/10.4108/valuetools.2007.1969

Kernel density in the use of the strong stability method to evaluate the proximity of G/M/1 and M/M/1 systems

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