Comparative Transient Fuzzy Performance Measure of a Queue with Catastrophes by Utilizing Lenient Alpha-Cut Method and by L-R Method

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Published: Sep 15, 2024
Keywords:
Disaster, catastrophe, triangular fuzzy number, L-R triangular fuzzy number, lenient alpha-cuts method, L-R method

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Vinod Kumar Srivastava
Department of Mathematics & Statistics, Dr Rammanohar Lohia Avadh University, Ayodhya, (U.P.), India
Praduman K Dwivedi
Department of Mathematics & Statistics, Dr Rammanohar Lohia Avadh University, Ayodhya, (U.P.), India
Sandeep Rawat
Department of Mathematics & Statistics, Dr Rammanohar Lohia Avadh University, Ayodhya, (U.P.), India
S S Mishra
Department of Mathematics & Statistics, Dr Rammanohar Lohia Avadh University, Ayodhya, (U.P.), India

Abstract

The paper makes a comparative transient study of an infinite server queue with catastrophes and repair under fuzzy environment using two fuzzy methods– one is through lenient alpha-cuts mathematics and other one is through L-R mathematics. The study has been made by modelling a university campus with free Wi-Fi facility to the persons within the campus at any time. The model has numerical parameters and the model is based on the queueing system described by Bura1. Average number of persons within the campus (at any time) has been computed and compared by the two methods mentioned above.

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1.
Vinod Kumar Srivastava, Praduman K Dwivedi, Sandeep Rawat, S S Mishra. Comparative Transient Fuzzy Performance Measure of a Queue with Catastrophes by Utilizing Lenient Alpha-Cut Method and by L-R Method. J. Int. Acad. Phys. Sci. [Internet]. 2024 Sep. 15 [cited 2025 May 11];28(3):241-5. Available from: https://www.iaps.org.in/journal/index.php/journaliaps/article/view/858
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Vol. 28 No. 3 (2024): Table of Content
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