to be analyzed which elements regarding cost of inventory and the modal type should be considered. Public authorities, for example, firefighters, military or aeronautics, are also considered as suppliers. Based on these considerations potential suppliers that will be activated by the humanitarian organizations during the response phase will be searched. We consider that, in practice, the demands of the affected areas are met in the shortest time possible, lest lives not be lost. The modeling should be flexible enough to consider time as variable and thus adversely consider possible delays. With this, the solution will enable the organizations to choose suppliers who deliver the supplies as quickly as possible. The selection is being made regardless of the arising costs, since, under the circumstance of lives being at risk, a timely delivery is clearly to be prioritized. Thus, the model must contain some index of penalty per missed day so that the solution procedure seeks those suppliers with product availability at the requested time, or the nearest location. We propose to model a graph where represent available suppliers, are the places of disaster and represent dates in a horizon given of m days. We then form a graph composed of its nodes and arcs respectively, where the set of nodes is defined by represented by pairs and the set of nodes represented by pairs The set of the arcs is defined as representing the paths between nodes as follows:
represents flows