Abstract—We discuss two motivations proposed by Sphicas (2006). First, after Lin (2019), we provide another partition for the feasible domain to show that there are at least three partitions to point out that the first motivation of Lin (2019) is not sufficient to support his solution procedure. For the second motivation of Sphicas (2006), we provide a detailed examination from the algebraic point of view to claim that his second motivation containing severe questionable results. We suggest researchers presenting a primitive algebraic method for inventory models with fixed and linear backorder costs.

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