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| Optimal failure maintenance policy for multi-state deteriorating systems |
| 1. School of Mathemetics and Statistics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China; 2. School of Mathemetics and Statistics, Hubei Normal University, Huangshi, Hubei 435002, China; 3. Department of Mathemetics, Tianjin University, Tianjin 300072, China; 4. Tianjin Nautical Instrument Institute, Tianjin 300131, China |
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Abstract A failure maintenance model is studied for multi-state semi-Markovian deteriorateing systems. During deterioration process, a system has a finite number of inverse working states and failure states. All failure states of system can be repairable and the failure repair time is negligible. The system is in a normal working state after restore. Its failure-examination devices can detect the failure state immediately as soon as the failure occurs, and then the corresponding maintenance actions are carried out. The optimal failure-repair policy that minimizes the expected long-run cost rate of the system is obtained by using policy-iteration algorithm of semi-Markovian decision process. Finally, numerical examples are given to illustrate the iteration process for solving the optimal failure maintenance policy.
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2010, Vol. 31 
