A Finite Batch Size Priority Queuing Model with Single Server Using Alpha -Cut

Abstract

In this paper, we extend the bulk arrival size 'b' with priority classes queuing model to a fuzzy environment where fuzzy set theory is used to resolve uncertainty. The triangular fuzzy numbers are used to represent the arrival rates and service times of the fuzzy queue in a parametric programming problem. With the aid of Zadeh's approach, we obtain crisp values from the fuzzy queues using the  -cuts. A numerical example is provided to illustrate the model's performance measure.