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An attempt to determine what inventory-ordering policy maintains the inventory as low as possible at all times. A situation is considered where there is an empty inventory of two different items and where a buyer has the option at any time of ordering either of two specified kinds of packages-of different composition of the two items but of equal total amount-subject to the constraint that no item is allowed to be depleted for a positive length of time. The second part of this study discusses a proposed solution to a problem involving discrete replenishment, by tankers of specified type, of several kinds of continuously depleting petroleum products at three different port facilities

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