One of the most frequent problems identified in the hospital network is the administration and control of inventories. When analyzing the logistic indicators, especially those related to inventories, we can observe how the availability indicator of some important items presents lower levels than previously established. It is also common to observe how the levels of inventories for some SKU (Stock-Keeping Unit) are very high while for others the levels of inventories are very low. This article seeks to provide a solution to the problems arising with the administration and control of inventories of a hospital in the City of Cali, Colombia. For this, the two-bin methodology with a periodic control system (R, S) will be used. This model will fit the needs of the hospital network and the resources available for the management of inventories in the organization.