An alternative approach to analyze economic ordering quantity and economic production quantity inventory problems using the completing the square method

Solution Procedure for Inventory Models with Linear and Fixed Backorder Costs

“…Cárdenas-Barrón [2] used the analytic geometry of a parabola and applied it to complete the square method to obtain the minimum solution for inventory models with linear and fixed backlog costs. Cárdenas-Barrón [2] mentioned that the algebraic development of Omar et al [4] is complex. We remind the readers that Omar et al [4] only used one algebraic method of completing a square that will be further discussed in Section 4.…”

“…Cárdenas-Barrón [2] mentioned that the algebraic development of Omar et al [4] is complex. We remind the readers that Omar et al [4] only used one algebraic method of completing a square that will be further discussed in Section 4. We will demonstrate the algebraic development of Omar et al [4] is incomplete but that is not complex.…”

“…Several researchers tried to develop a new solution method to replace the unexpected partition approach proposed by Sphicas [1]. In this study, we focus on Omar et al [4] to show the new solution method proposed by Omar et al e study [4] contains severely questionable findings such that the simplification proposed by Omar et al [4] cannot be treated as a substitute for Sphicas [1]. Moreover, we will discuss a related paper of Chung and Cárdenas-Barrón [3] which had cited Omar et al [4].…”

“…Eight papers referred to Omar et al [4] in their references: Cárdenas-Barrón [2], Chung and Cárdenas-Barrón [3], Wee et al [5,6], Cárdenas-Barrón et al [7], Khalilpourazari et al [8], Afshar-Nadjafi et al [9], and Jonrinaldi et al [10]. We can separate those eight papers into two groups.…”

“…ese six articles only mentioned Omar et al [4] in their introduction and then focused on their own inventory models such that they were not really related to Omar et al [4].…”