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Arya Bhatta Journal of Mathematics and Informatics
Year : 2023, Volume : 15, Issue : 1
First page : ( 111) Last page : ( 120)
Print ISSN : 0975-7139. Online ISSN : 2394-9309.
Article DOI : 10.5958/2394-9309.2023.00016.1

Analysis of Fuzzy Priority Queuing System with Heterogeneous Servers

Saini Aarti1,4,*, Dr. Gupta Deepak2,**, Dr. Tripathi A. K.3,***

1Research Scholar, Dept. of Mathematics, Maharishi Markandeshwar (Deemed to be University), Mullana (Ambala)

2Professor & Head, Dept. of Mathematics, Maharishi Markandeshwar (Deemed to be University), Mullana (Ambala)

3Dept. of Mathematics, Maharishi Markandeshwar (Deemed to be University), Mullana (Ambala)

4Assistant Professor of Mathematics, Govt. College for Women, Shahzadpur (Ambala)

*Email: aartisaini195@gmail.com

**guptadeepak2003@yahoo.com

***tripathi.adesh@gmail.com

Online Published on 08 June, 2023.

Abstract

Fuzzy environment investigation of a priority queue network is presented in this research. For this, we considered a queuing model with two heterogeneous servers linked to a common server. Here arrival and service rates are taken fuzzy because in real these are not certain in nature. To convert fuzzy value into crisp value Yager's formula used. TFN, α - cut method and fuzzy computations are used to obtained fuzzy queuing performance measures of the suggested model. A numerical illustration is used to check the efficiency of the study. The model finds its application in hospitals, banks, offices, educations, communication network system, public transportation and many other fields.

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Keywords

Heterogeneous, Fuzzy, Priority, α - cut, Triangular fuzzy number, Membership function.

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