An economic production quantity model for deteriorating items with preventive maintenance policy and random machine breakdown

In recent years, many researches on economic production quantity (EPQ) models with machine breakdown and
preventive maintenance have been developed, but few of them have developed integrated models for deteriorating
items. In this study, we develop EPQ models for deteriorating items with preventive maintenance, random
machine breakdown and immediate corrective action. Corrective and preventive maintenance times are assumed
to be stochastic and the unfulfilled demands are lost sales. Two EPQ models of uniform distribution and
exponential distribution of corrective and maintenance times are developed. An example and sensitivity analysis
is given to illustrate the models. For the exponential distribution model, it is shown that the corrective time
parameter is one of the most sensitive parameters to the optimal total cost.