Optimal inspection policy for scheduled maintenance of aging systems

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1 Citation (Scopus)


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 languageEnglish
Pages (from-to)410-421
Number of pages12
JournalInternational Journal of Industrial Engineering : Theory Applications and Practice
Issue number4
Publication statusPublished - 2017
Externally publishedYes


  • 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


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