Abstract
This research provides a flexible inspection policy in which the interval between the current and next inspection is determined on the basis of the current information about the system. A non-stationary partially observed Markov decision process model was used to formulate a decision-making problem for an aging system with imperfect inspection, and the optimal inspection policy which minimizes a long-run expected cost over an infinite time horizon was analytically investigated. Several struc-tural properties of the optimal expected cost function were obtained that establish the existence of an optimal policy in which there is at most one transition from keep-operating to replacement with respect to both the system's deterioration and age under certain conditions. A monotone property of the inspection interval was identified. Furthermore, the obtained conditions were discussed, and a numerical calculation was provided to show how to obtain the optimal inspection policy.
| Original language | English |
|---|---|
| Pages (from-to) | 410-421 |
| Number of pages | 12 |
| Journal | International Journal of Industrial Engineering : Theory Applications and Practice |
| Volume | 24 |
| Issue number | 4 |
| Publication status | Published - 2017 |
| Externally published | Yes |
Keywords
- Monotone policy
- Optimal decision-making
- Partially observed Markov decision process
- Strong multivariate likelihood ratio order
- Totally positive order
ASJC Scopus subject areas
- Industrial and Manufacturing Engineering