Replacement Policies Based on System Age and Random Repair Cost under Imperfect Repair

Replacement policies based on both the system age and the random repair cost are studied. The system is replaced when it reaches age T (Policy A), or when it fails for the first time after age T (Policy B). If the system fails before age T, the repair cost is estimated and repair is then undertaken if the estimated cost is less than a predetermined limit L ; otherwise, the system is replaced. After repair, the system is as good as new with probability (1-p) or is as good as old with probability P. The expected cost rate is obtained, its behavior is examined, and way of obtaining optimal T and L is explored.