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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 68 | Issue 5 | Year 2022 | Article Id. IJMTT-V68I5P511 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I5P511

Analysis of a Feedback Bi-Tandem Queue Network in Fuzzy Environment


Vandana Saini, Deepak Gupta, A.K. Tripathi
Received Revised Accepted Published
02 Apr 2022 28 May 2022 22 Jun 2022 22 Jun 2022
Abstract

The paper's objective is to analyse a feedback queue network in a fuzzy environment. For this purpose, a basic model is considered, a bi-tandem queue network linked to a common server. All queue performance measures are obtained in a stochastic environment at the initial stage. After that, work is extended to a fuzzy environment because practically all system characteristics are not exact; they are uncertain in nature. In a fuzzy environment, all fuzzy queue characteristics are obtained by using the α-cut approach, triangular fuzzy membership function, and fuzzy arithmetic operations. Yager’s formula is used to defuzzify the fuzzy values. A numerical illustration is given to validate the results. This model applies to shopping complexes, administrative offices, production management, banks, and many fields.

Keywords
Bi-tandem queue, Feedback, Fuzzy environment, Stochastic environment, Triangular fuzzy α-cut.
References

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Citation :

Vandana Saini, Deepak Gupta, A.K. Tripathi, "Analysis of a Feedback Bi-Tandem Queue Network in Fuzzy Environment," International Journal of Mathematics Trends and Technology (IJMTT), vol. 68, no. 5, pp. 68-77, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I5P511

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