The Chilean company ENAP has a complex refining system in Concon, with important equipments like the furnace B-1201, belonging to the Hydrocracking Plant, and responsible for the partial conversion of vacuum gasoil into lighter products. This equipment works in a temperatures range between 300 and 400 degrees C. During this process, the equipment is exposed to factors causing the decreased in its operative life and catastrophic failures. These results are reported as a decrease in equipment efficiency and significant financial loss. Energy costs represent 80% of operating costs. This paper presents an analysis of risk for furnace B-1201 in the superior limit of design for this equipment, to verify its current load behavior and the possibility of increasing its efficiency by 20% over the security level. Additionally there is the application of a new inspection system. The study applied is based on the RBI methodology, according to the API-580 and API-581, and was used the simulation software HTRI (R) as a support tool to obtain the maximum temperature of the furnace tube metal B-1201. Results are reported as comparative data analysis of probability-of failure in the short and long term, risk matrix, and proposed plans for the various cases in study.