A single server fuzzy queues with priority and unequal service rates

Zeina Mueen, Razamin Ramli and Nerda Zura Zaibidi

International Journal of Mathematics in Operational Research, 2017, vol. 11, issue 3, 422-434

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.

Keywords: fuzzy queues; two class priority; mathematical programming technique; unequal service rates. (search for similar items in EconPapers)
Date: 2017
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