Termination versus operation extension for degrading systems

Maxim Finkelstein, Ji Hwan Cha, Amy Langston

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Optimal cost-wise termination of operation for degrading engineering systems is considered that maximizes the expected profit for the infinite horizon. Termination reduces probability of the future failure that usually results in substantial loss. The cases of non-repairable and minimally repairable systems are discussed. The black-box scenario without additional information on stochastic process of degradation and that with additional information are considered. The novel sequential optimal inspection policy is described. It is proved that the termination time can be postponed in an optimal way if the degradation observed at inspection is smaller than the defined level. The developed approach allows for optimal usage of system’s “resource.” The detailed numerical examples illustrate the findings.

Original languageEnglish
Pages (from-to)1175-1185
Number of pages11
JournalProceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability
Issue number6
StatePublished - Dec 2023

Bibliographical note

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© IMechE 2022.


  • Poison process
  • Termination
  • expected profit
  • failure threshold
  • gamma process


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