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July 1951 - Volume 19 Issue 3 Page 250 - 272


p.250


Optimal Inventory Policy

Kenneth J. Arrow
Theodore Harris
Jacob Marschak

Abstract

Optimal inventory policy is first derived for a simple model in which the future (and constant) demand flow and other relevant quantities are known in advance. This is followed by the study of uncertainty models--a static and a dynamic one--in which the demand flow is a random variable with a known probability distribution. The best maximum stock and the best reordering point are determined as functions of the demand distribution, the cost of making an order, and the penalty of stock depletion.

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