Optimal policy of continuous and discrete replacement with minimal repair at failure

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<jats:title>Abstract</jats:title><jats:p>This article considers combined continuous and discrete replacement with minimal repair at failure, in which a unit is replaced at time T or at number N of uses. Both optimal time T* and number N* to minimize the expected cost rate are discussed. They are found by unique solutions of equations when the hazard rates are monotonously increasing. A numerical example is given.</jats:p>

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