A Repair Strategy Based on Minimal and Imperfect Repairs for Two-dimensional Warranty

The costs from the servicing of warranty depend on the reliability of the product, the maintenance actions, and the servicing strategy. In this paper, we focus on a repair strategy based on minimal and imperfect repairs for two-dimensional warranty. We consider a rectangular warranty region with two measures (age and usage) and divide it into three disjoint sub-regions. The failed item is rectified by imperfect repair when it fails for the first time in the second sub-region of the warranty while all the other failures are repaired minimally. We derive the optimal values for these to minimize the total expected warranty cost. At last, we give an illustrative numerical example and compare with other strategies studied in the earlier literature to find the best repair strategy for two-dimensional warranty.