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Research on Fuzzy Three Stage Tandem Queues
W. Ritha1, J. Merline Vinotha2, I. Antonitte Vinoline3, Nivetha Martin4

1W. Ritha, Department of Mathematics, Holy Cross College, Tiruchirapalli (TamilNadu), India.

2J. Merline Vinotha, Department of Mathematics, Holy Cross College, Tiruchirapalli (TamilNadu), India.

3I. Antonitte Vinoline, Department of Mathematics, Holy Cross College, Tiruchirapalli (TamilNadu), India.

4Nivetha Martin, Department of Mathematics, Arul Anandar College, Karumathur (TamilNadu), India.

Manuscript received on 15 April 2019 | Revised Manuscript received on 22 April 2019 | Manuscript Published on 26 July 2019 | PP: 1478-1481 | Volume-8 Issue-6S4 April 2019 | Retrieval Number: F13020486S419/19©BEIESP | DOI: 10.35940/ijitee.F1302.0486S419

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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open-access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)

Abstract: This project intends a general procedure to obtain the membership function of the performance measures in three stage tandem queues when the inter-arrival time and service time are in fuzzy. The basic idea is to diminish the crisp queue into fuzzy by applying the α-cut approach technique. A pair of parametric program is formulated to depict that family of crisp queue in which the membership functions of the system performance are acquired.

Keywords: Fuzzy, Queueing System, Tandem Queue, Parametric Programming, Membership Function.
Scope of the Article: Applied Mathematics and Mechanics