Note on “The derivation of EOQ/EPQ inventory models with two backorders costs using analytic geometry and algebra”

•We show that algebraic methods of Cárdenas-Barrón [2] are questionable.•We provide our improvements for algebraic methods of Cárdenas-Barrón [2].•We indicate that Sphicas [1] already solved these models by algebraic methods. This study examines the paper of Cárdenas-Barrón, entitled “The derivation...

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Bibliographic Details
Published inApplied Mathematical Modelling Vol. 73; pp. 378 - 386
Main Author Lin, Scott Shu-Cheng
Format Journal Article
LanguageEnglish
Published New York Elsevier Inc 01.09.2019
Elsevier BV
Subjects
Algebra
Analytic geometry
Backorders
Cost analysis
Derivation
EOQ/EPQ
Fixed backorder
Geometry
Inventory models
Linear backorder
Mathematical models
Linear backorder
Inventory models
Fixed backorder
EOQ/EPQ
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Summary:•We show that algebraic methods of Cárdenas-Barrón [2] are questionable.•We provide our improvements for algebraic methods of Cárdenas-Barrón [2].•We indicate that Sphicas [1] already solved these models by algebraic methods. This study examines the paper of Cárdenas-Barrón, entitled “The derivation of EOQ/EPQ inventory models with two backorders costs using analytic geometry and algebra.” that was published in Applied Mathematical Modelling at 2011 to point out it contains questionable results. The algebraic geometry and algebra applied by Cárdenas-Barrón [2] violated the rule of the arithmetic-geometric mean (AGM) mentioned by Cárdenas-Barrón [74]. Moreover, we point out Sphicas [1] had already solved this kind of EOQ and EPQ models using algebraic methods.
ISSN:0307-904X
1088-8691
0307-904X
DOI:10.1016/j.apm.2019.04.025