Digital Definition of Optimal Inventory Management

The research focuses on the mathematical modeling of the digital twin of the practical problem of inventory management. Today’s production requires the coordinated work of all departments. Failure of even one section leads to unplanned losses. To avoid failure, manufacturers try to create stocks of components, accessories, etc., because stockpiling causes less damage than disrupting the rhythmic work of the entire production. Simultaneously, the storage of safety stocks leads to additional costs and increases the price of the final product. The shortage (deficit) of raw materials and inconsistency in joint work with suppliers can lead to a halt in production. Excess stocks and their shortages affect the final price of goods produced. Therefore, it is necessary to use mathematical modeling to optimize normative estimates of reserve volume. The analysis of the works shows that, when studying the problem of inventory management, new sections of mathematical science are not effectively used: in particular, interval mathematics in modeling dynamic processes, decision theory, etc.