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Evaluation of performance measures of priority queues with fuzzy parameters using a - cut approach

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Title: Evaluation of performance measures of priority queues with fuzzy parameters using a - cut approach

Authors: R. Varadharajan, R. Susmitha

Journal: ARPN Journal of Engineering and Applied Sciences

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
X 2020-07-01 2021-06-30

Publisher: Khyber Medical College, Peshawar

Country: Pakistan

Year: 2018

Volume: 13

Issue: 7

Language: English

Categories
Queueing theory (47) Computer Science (14978) Fuzzy Sets (27) Mathematics (5170) Operations Research (1313)

Abstract

In this paper, we extend the queuing model of priority classes to the fuzzy environment where the uncertainty is resolved by fuzzy set theory. A parametric programming problem is constructed where the Trapezoidal fuzzy numbers are introduced for the arrival rates and service time of the fuzzy queue. By the a-cuts, we obtain crisp values from the fuzzy queues with the help of Zadeh’s principle. To establish the performance measure of the model, a numerical example is given.

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