Performance Analysis of Single Server Fuzzy Queues with Trapezoidal Fuzzy Numbers Using Lr Method

Abstract

Queueing system environment has been analyzed in this document where the queueing model is described under fuzzy theory. The performance measure of single server fuzzy queues are calculated with trapezoidal fuzzy numbers using LR method as well as alpha-cut method for comparison. LR representation for trapezoidal fuzzy numbers are calculated to find the expected customer count and mean waiting period  of customers in FM/FM/1 queueing pattern. Important concepts such as functional materials, simulation materials can be formulated in Fuzzy queues using LR method. To illustrate the validity of LR method, an arithmetical example is solved for trapezoidal fuzzy numbers.