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

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 99

Volume : 20 , Issue : 2
DOI: https://doi.org/10.56827/SEAJMMS.2024.2002.35
Author :
Karma Jeet (Department of Mathematics and Statistics, Dr. Rammanohar Lohia Avadh University, Ayodhya, Uttar Pradesh, INDIA)
P. K. Dwivedi (Department of Mathematics and Statistics, Dr. Rammanohar Lohia Avadh University, Ayodhya, Uttar Pradesh, INDIA)
Aabhas Kumar (Department of Mathematics and Statistics, Dr. Rammanohar Lohia Avadh University, Ayodhya, Uttar Pradesh, INDIA)
S. S. Mishra (Department of Mathematics and Statistics, Dr. Rammanohar Lohia Avadh University, Ayodhya, Uttar Pradesh, INDIA)

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 model, cost function, sensitivity analysis, NLE, R-software.

A.M.S. subject classification

90B22, 60K25.

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