Inventory management studies how a single firm can minimize the average cost per time unit of its inventory. Works as Hadley and Within (1963) describe and study several deterministic inventory models, and Montgomery (1974) and Tersine (1994) introduce the purchasing cost depending on the order size. In this article we define and study different types of inventory models in which the purchasing cost is fixed by the supplier according certain price policy such that the price per unit is related to the order size by a continuous and positive function with several smoothness properties.
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