Analysis Of Fuzzy Queueing Models To Optimize The Average System Size In Packet-Switching Network

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Ebenesar Anna Bagyam J, Suganthi P, Sudha R, Manoj Kumar Chande

Abstract

Single server batch arrival retry queue with varying modes of breakdowns and two stages of restoration is considered under a fuzzy situation. Assuming the arrival, working, retry, breakdown, and repair rates are fuzzy; a mathematical programming method is proposed to construct the membership function for the average system size of the prescribed model. To convert a fuzzy repairable retrial queue into a family of crisp queues, the alpha-cut technique and Zadeh's extension concept are utilised. Trapezoidal fuzzy numbers are used to illustrate the strength of the proposed approach. Ranking fuzzy numbers play a huge role in decision-making under fuzzy conditions. This ranking method is the most reliable, simple to apply, and used to find the defuzzification of the syatem measures. A particular application in packet-switching network is given for a better understanding of the model.

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