## A deterministic inventory model of deteriorating items with two rates of production and shortages.(English)Zbl 1061.90005

Summary: This paper presents a continuous production control inventory model of deteriorating items with shortages. It is assumed that the production rate is changed to another at a time when the inventory level reaches a prefixed level $$Q_1$$ and continued until the inventory level reaches the level $$S(>Q_1)$$. The demand rate is assumed to be constant. The production is started again at a time when the shortage level reaches a prefixed quantity $$Q_2$$. For this model the total cost per unit time as a function of $$Q_1$$, $$Q_2$$ and $$S$$ is derived. The optimal decision rules for $$Q_1$$, $$Q_2$$ and $$S$$ are computed. Results are illustrated by numerical example.

### MSC:

 90B05 Inventory, storage, reservoirs