Resumen de Optimal inspection of a system with two types of failures under age dependent minimal repair
María Dolores Berrade Ursúa, Francisco Germán Badía Blasco 
This work describes a maintenance model for a system that presents failures of two types, revealed minor failures (type R) and unrevealed catastrophic failures (type U). The latter are detected by means of an inspection policy at periodic times kT, k = 1,2, . . . Moreover it is assumed the possibility of imperfect inspections, that is, false alarms of failure as well as undetected failures after an inspection. Type R failures are removed by a minimal repair whereas a perfect repair follows the type U failures. The maintenance procedure is completed with a renewal of the system after the Nth type R failure. The objective function is the expected cost in an infinite time span and interest centers on the existence of a finite optimum policy
