Abstract:

The functional inspection is of the first importance in the process of conditionbased maintenance for deteriorating systems. But it is hardly possible to acquire the system state accurately in reality, which is restricted by the technology and knowledge level. Aiming at this problem, based on the Markov chain model established for the multi-state deteriorating system, three situations of the deteriorating system life cycle under imperfect inspection are analyzed, and based on the functions of false alarm and the undetected error, the joint optimization of the inspection period and the threshold value of preventive maintenance are investigated for the minimization of the system long-run cost rate. Through a numerical example, the influence of the inspection period and threshold value on the system longrun cost rate under the imperfect inspection is analyzed. Therefore, the correctness and rationality of the model are verified.