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Research Article

COST ANALYSIS OF POWER SUPPLY QUEUING MODEL M/M/$\infty$

K
Karma Jeet Department of Mathematics and Statistics, Dr. Rammanohar Lohia Avadh University, Ayodhya, Uttar Pradesh, INDIA
P
P. K. Dwivedi Department of Mathematics and Statistics, Dr. Rammanohar Lohia Avadh University, Ayodhya, Uttar Pradesh, INDIA
A
Aabhas Kumar Department of Mathematics and Statistics, Dr. Rammanohar Lohia Avadh University, Ayodhya, Uttar Pradesh, INDIA
S
S. S. Mishra Department of Mathematics and Statistics, Dr. Rammanohar Lohia Avadh University, Ayodhya, Uttar Pradesh, INDIA
Volume 20, Issue 2 Pages 495-510 August 30, 2024 220 downloads
Article overview

Abstract

This paper deals with the power supply queuing model M/M/$\infty$. In this paper, we analyze total cost of power supply queuing model with infinite servers. We develop a total cost function and suject it to optimization, which consequently gives us non-linear equations. These non-linear equations are further solved by using Newton-Raphson method with the help of R-software. We also present analysis of sensitivity, tables and graphs of the model to exhibit the comprehensive interpretation of the same.

Keywords and Phrases

Power supply queuing modelcost functionsensitivity analysisNLER-software.

AMS Subject Classification

90B22, 60K25.

Reference information

How to Cite

Karma Jeet, P. K. Dwivedi, Aabhas Kumar, S. S. Mishra (2024). COST ANALYSIS OF POWER SUPPLY QUEUING MODEL M/M/$\infty$. South East Asian Journal of Mathematics and Mathematical Sciences, 20(2), 495-510.
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