Performance of Multiclass Computer Systems Using Fuzzy Queueing Model

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  • JO Jung Bok
    Dept. of Production and Information, Tokyo Metropolitan Institute of Technology
  • TSUJIMURA Yasuhiro
    Dept. of Industrial and Systems Engineering, Ashikaga Institute of Technology
  • GEN Mitsuo
    Dept. of Industrial and Systems Engineering, Ashikaga Institute of Technology
  • TAMAZAKI Genji
    Dept. of Production and Information, Tokyo Metropolitan Institute of Technology

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Other Title
  • ファジィM/M/s待ち行列モデルによるマルチクラス・コンピュータシステムの性能評価
  • Performance of Multiclass Computer Syst

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Abstract

The purpose of this paper is to combine the concept of fuzzy sets to represent more realistic situations with the well-established traditional queueing models. Information and data of a queueing model are incomplete frequently, when they are very little and there is no information about the model or some parameters of the model are vague.In that case, they may be sometimes given by experts subjectively. Therefore, it is neccessary to employ subjective probabilities for the queueing model of which information and data are including some fuzziness. In this paper, a fuzzy M/M/s queueing model is proposed as a fuzzification of an ordinary M/M/s queueing model. We also apply fuzzy set theory to the closed multiclass model with the fuzzy queues and the mixed multiclass model in which each node consists of fuzzy queues. Thus, we represent the characteristic and performance of the closed multiclass model and the mixed multiclass model based on the proposed fuzzy queueing system.

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