The authors apply periodic replacement with minimal repair at failure to cumulative damage models: a unit is replaced at time T, at shock N, or at damage Z and undergoes minimal repair between replacements. The mean cost-rate is obtained, and each optimal T*, N*, and Z* to minimize the cost-rate is discussed. A numerical example is given for an exponential case.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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Nakagawa et al. (1989) studied this question.
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