Optimal Order-Replacement Policy for a Deteriorating System Based on Delayed Geometric Process

Abstract

Abstract:

Abstract： An orderreplacement model was developed for a repairable deteriorating system. The policy N was adopted where the system would be replaced after the the Nth failure and the spare system was ordered at the end of the (N-1)th failure. The deterioration process of the system was modeled by the delayed geometric process. The longrun average availability and the average cost rate were derived by using the renewal reward theory. The optimal policy was obtained under the premise of meeting the availability requirement. Finally, a numerical example was given to illustrate the proposed model.

Key words: deteriorating system, delayed geometric process, orderreplacement policy, availability, average cost rate

CLC Number:

TP 391

CHENG Guoqing1,2,ZHOU Binghai1,LI Ling2. Optimal Order-Replacement Policy for a Deteriorating System Based on Delayed Geometric Process[J]. Journal of Shanghai Jiaotong University, 2015, 49(08): 1101-1107.

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