Analysis and simulation of fuzzy queues

The aim of this paper is to combine the ability of fuzzy sets to represent practical situations with the well-known established traditional queuing approaches which are rigorous but the assumptions are frequently too far from reality. It is shown that this approach can utilize the advantages of both the fuzzy and probability approaches to make the model more realistic and less restrictive. Both α-cut sets and the use of random variables to represent fuzzy numbers are investigated. Trapezoidal fuzzy numbers are used and the analytical and simulation results are discussed based on actual examples.