Mathematics and Statistics Vol. 10(3), pp. 636 - 646
DOI: 10.13189/ms.2022.100320
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Comparison of Non-Preemptive Priority Queuing Performance Using Fuzzy Queuing Model and Intuitionistic Fuzzy Queuing Model with Different Service Rates


S. Aarthi *, M. Shanmugasundari
Department of Mathematics & Statistics, College of Science and Humanities, SRM Institute of Science and Technology, Kattankulathur, Tamilnadu, India

ABSTRACT

This study provides non-preemptive priority fuzzy and intuitionistic fuzzy queuing models with unequal service rates. For performance evaluations of the industrial, supply chain, stock management, workstations, data exchange, and telecommunications equipment, non-preemptive priority queues are appropriate. The parameters of non-preemptive priority queues may be fuzzy due to unpredictable causes. The primary goal of this research is to compare the performance of a non-preemptive queuing model applying fuzzy queuing theory and intuitionistic fuzzy queuing theory. The performance metrics in the fuzzy queuing theory model are given as a range of values, however, the intuitionistic fuzzy queuing theory model offers a multitude of values. Both the arrival rate and the service rate are triangular and intuitionistic triangular fuzzy numbers in this case. An analysis is provided to identify the quality metrics by using a developed methodology through which without converting into crisp values we are taking the fuzzy values as it is and to demonstrate the viability of the suggested method, two numerical problems are solved.

KEYWORDS
Queuing theory, Non-Preemptive Priority, Triangular Fuzzy Number, Intuitionistic Triangular Fuzzy Number, High Priority, Low Priority

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] S. Aarthi , M. Shanmugasundari , "Comparison of Non-Preemptive Priority Queuing Performance Using Fuzzy Queuing Model and Intuitionistic Fuzzy Queuing Model with Different Service Rates," Mathematics and Statistics, Vol. 10, No. 3, pp. 636 - 646, 2022. DOI: 10.13189/ms.2022.100320.

(b). APA Format:
S. Aarthi , M. Shanmugasundari (2022). Comparison of Non-Preemptive Priority Queuing Performance Using Fuzzy Queuing Model and Intuitionistic Fuzzy Queuing Model with Different Service Rates. Mathematics and Statistics, 10(3), 636 - 646. DOI: 10.13189/ms.2022.100320.