A two-dimensional warranty strategy based on minimal and imperfect repairs was studied.A warranty region which was described in terms of two measures(age and usage) was divided into three disjoint sub-regions.The failed item was rectified by imperfect repair when it fails for the first time in the second sub-region of the warranty and all other failures are repaired minimally.Moreover,the model of total expected warranty servicing cost was built and analyzed under this strategy.Finally,using an illustrative numerical example and comparing with other strategies studied in the earlier literature,the paper shows that when the cost of a minimal repair is low compared to the cost of replacement,then this strategy is more appropriate.