Bi-Level Inventory Formalization

A bi-level problem is defined for the optimization of inventory management. This formalization allows the simultaneous delivery of different types of goods according to the required volume of consumption for the production of goods. The resources, which are supplied are strictly related to the production volumes, which minimize the inventory costs. The bi-level optimization problem is defined for the case of delivery of food for diet preparations with appropriate content. The costs for delivery are minimized for a given nutrition content. The empirical comparisons and results of the bi-level inventory management give advantages for the derived optimization problem.