Abstract
Abstract A rather specialized area of inventory and production control in the managing of liquid inventories with varying sizes of available containers as a function of time presents an interesting problem. This article provides some insight into a geometric representation of the inventory problem and the specific solution of a two-product, three-tank dynamic liquid storage problem. Inferences concerning methods of application to larger quantities of products and the direct application to larger numbers of tanks are given. The geometric presentation is augmented by an algebraic representation and statement of the problem being considered. This solution technique represents a significant departure from the conventional representation of this class of inventory problems and considers the non-simultaneous demand and replenishment of inventory with interaction among the products and the sharing of common storage at different points in time.
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