Abstract
This investigation presents a novel repair-replacement warranty strategy. The strategy involves splitting the warranty period into two intervals in which only minimal repairs can be undertaken, separated by a middle interval in which no more than one replacement is allowed. The cost of the i th minimal repair at age y depends on the random part C( y) and the deterministic part, c i ( y). Distribution functions of failure rates, with a bathtub shape over the lifetime of the product, are also considered. The form of the optimal repair-replacement strategy that minimizes the expected cost of servicing the warranty over the warranty period is discussed as well.
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