A single server fuzzy queues with priority and unequal service rates (Q2204329)

Summary: This article presents to develop a new mathematical model to construct membership functions of the fuzzy single channel queueing model \(\mathrm{F(M_{1}, M_{2})/F(M_{1}, M_{2})/1/PR\text{-}NP}\) 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 \(\alpha\)-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 \(\alpha\) in the system.