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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  • @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: aicha_bareche@yahoo.fr, lamos_bejaia@hotmail.com

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.