• A FUZZY APPROACH TO NON-PREEMPTED PRIORITY QUEUES

Abstract

This paper proposes a procedure to construct the membership functions of the performance measures for 3-priority queues when the interarrival time and service time are fuzzy numbers with the application of fuzzy set theory. The basic idea is to reduce a fuzzy queue in to a family of crisp queues by applying α-cut approach and Zadeh’s extension principle. A pair of parametric programs is formulated to describe the family of crisp queues, via which the membership functions of the performance measures are derived. Trapezoidal fuzzy numbers are used to demonstrate the validity of the proposal. An illustration is given to establish the performance measures of the characteristics of 3-priority queues.