On Comparison of Idle Times of Queuing Models with an Unreliable Server in Intuitionistic and Interval Valued Fuzzy Environment

Abstract

In this paper, a queuing model with an unreliable server is considered in a fuzzy environment. The arrival rate, service rate, breakdown rate and repair rate are taken as trapezoidal fuzzy numbers, trapezoidal intuitionistic fuzzy numbers and interval valued trapezoidal fuzzy numbers. A numerical example is given showing the proposed approach. The idle times of the server in each of the above cases are computed and compared. The interval valued fuzzy case provides a lesser idle time and hence preferred.