Microeconomic view on the inventory optimization problem

The paper deals with the optimization of inventory stock. The fundamental questions of logistics are: in what quantity and when to resupply the stock. In order to answer these questions the efficient methods are derived that offer a relatively accurate and satisfactory response (including its economic interpretation) even in terms of uncertainty. The discrete case, when the unit of supply is indivisible, is studied in detail and the results are then extrapolated by the limiting transition to the continuous case, when the unit of inventory is further arbitrarily divisible. In both cases the method relies on the value of the authors own established indicator of the storage efficiency and on the fragment of the probability distribution of the demand during the delivery time, which depends on it.