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A Single Server Fuzzy Queues with Priority and Unequal Service Rates

Mueen, Zeina and Ramli, Razamin and Zaibidi, Nerda Zura (2017) A Single Server Fuzzy Queues with Priority and Unequal Service Rates. International Journal of Mathematics in Operational Research, 11 (3). pp. 422-434. ISSN 1757-5850

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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

Item Type: Article
Uncontrolled Keywords: Fuzzy queues; two class priority; mathematical programming technique; unequal service rates
Subjects: Q Science > QA Mathematics
Divisions: School of Quantitative Sciences
Depositing User: Mdm. Sarkina Mat Saad @ Shaari
Date Deposited: 10 Jul 2024 07:36
Last Modified: 10 Jul 2024 07:36
URI: https://repo.uum.edu.my/id/eprint/31031

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