A single server fuzzy queues with priority and unequal service rates

摘要

This article presents to develop a new mathematical model to construct membership functions of the fuzzy single channel queueing model F(M_1, M_2)/F(M_1, M_2)/_1/PR-NP with two class of non-preemptive priority with unequal service rates. The main idea of this article is to merge between mathematical programming technique and Yager's ranking method by using a-cut approach and Zadeh extension principle to transform fuzzy queues into a family of conventional crisp (distinct) queues in this context. A numerical example is given to explain the validity of this new approach to obtain real exact values under different levels of a in the system.