This thesis deals with an emergency humanitarian problem aiming to plan and control the evacuation time of a building. The main tools used for handling the problem are linear programming models. Our implementation is based on models originally engineered for many problems like routing design and strategical positioning of hospitals, shipping centers, hubs, warehouses and in logistics. In the different proposed configurations, our mathematical model is able to optimize the evacuation time from the building, deciding the routing path for all the evacuees and their assigned emergency exits, with different variants on the evacuation path modelling. But, it is also able, in a planning phase, to choose which subset of candidate positions for emergency exits is preferable in terms of expected evacuation time.