For repairable items, the manufacturer is required to rectify all item failures through minimal repair, replacement, and imperfect repair should failures occur within the period specified in the warranty. In this paper, a new warranty servicing strategy is examined, considering imperfect repair with a two-dimensional warranty where the failed item is imperfectly repaired when it fails for the first time in a specified period of the warranty and all other failures are repaired minimally. The optimal servicing strategy is obtained to minimize the total expected warranty servicing cost. The proposed repair policy is compared numerically with existing strategies reported in the literature.
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