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

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.

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Publication Details

Journal
South East Asian J of Mathematics and Mathematical Sciences
Published
2024-08-30
DOI
https://doi.org/10.56827/seajmms.2024.2002.35
Primary Topic
Power Systems and Renewable Energy
Type
article
Field-Weighted Citation Impact
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article

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

Pushpendra Kumar Dwivedi, Shambhu Sharan Mishra, A. Maniram Kumar, Karma Jeet
South East Asian J of Mathematics and Mathematical Sciences
Power Systems and Renewable Energy
article

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

Pushpendra Kumar Dwivedi, Shambhu Sharan Mishra, A. Maniram Kumar, Karma Jeet
article en

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.

South East Asian J of Mathematics and Mathematical SciencesVol. 20(02)
Dr. Ram Manohar Lohia Avadh University (IN)
Openalex Percentile: Top 73%
Power Systems and Renewable Energy
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