We consider optimal replacement policies with periodic imperfectmaintenance actions and minimal repairs.Themultistate system\nis minimally repaired at failure and imperfect maintenance actions are regularly carried out for preventive maintenance. The\ndiscrete modified Weibull distribution is introduced and some cost functions applied to this distribution are defined in order to\nbe minimized. Moreover, we assume that the costs of preventive maintenance depend on the degree of repair via a Kijima type 2\nmodel. For illustrative purpose, the obtained results are applied on sets of simulated data.
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