A single server fuzzy queues with priority and unequal service rates
by Zeina Mueen; Razamin Ramli; Nerda Zura Zaibidi
International Journal of Mathematics in Operational Research (IJMOR), Vol. 11, No. 3, 2017

Abstract: This article presents to develop a new mathematical model to construct membership functions of the fuzzy single channel queueing model F(M₁, M₂)/F(M₁, M₂)/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 α-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 α in the system.

Online publication date: Wed, 11-Oct-2017

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