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Inventory Models with Compounding Interest Revisited.

Authors :
Yung-Ning Cheng
Kou-Huang Chen
Source :
IAENG International Journal of Applied Mathematics. Jun2024, Vol. 54 Issue 6, p1216-1224. 9p.
Publication Year :
2024

Abstract

We provide a detailed examination of inventory models with compounding interest that derived an approximated closed-form optimal solution. The goal of our paper is threefold. First, we find a criterion to guarantee the existence of the original optimal solution. Under the criterion, we prove the uniqueness of the original optimal solution. Second, because the source paper did not consider the zeros of the first derivative, we point out that the complicated discussion of the second derivative proposed by the source paper is useless in his derivations. Third, we provide our approximated closed-form optimal solution that is more accurate than the approximated closed-form optimal solution in the source paper. Numerical examples cited from the source paper support our claim. Our paper will provide significant improvements to the source paper. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*INVENTORIES

Details

Language :
English
ISSN :
19929978
Volume :
54
Issue :
6
Database :
Academic Search Index
Journal :
IAENG International Journal of Applied Mathematics
Publication Type :
Academic Journal
Accession number :
177619658