Abstract
One alternative to prolong a life time of a product is doing a preventive maintenance. The number of failures from the product can be reduced by optimal maintenance policy. This research investigates a periodic maintenance policy for a product sold with a two-dimensional warranty. Actually, this idea is a development of that in Murthy and Wilson (1991). The product failures is modeled using a one-dimensional approach in which usage is a function of age. Furthermore, it is assumed that the relation between these variables is linear. The slope of the line is the usage rate. The optimal periodic maintenance time can be derived by minimizing the expected cost per unit time. We also proved that the expected cost per unit time is a concave function, and gave the global optimal solution. As a numerical example, we choose Weibull distribution with different levels of usage rates. The numerical results show that the increase of usage rate will decrease the length of periodic maintenance time.
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