Optimal Long-Run Imperfect Maintenance with Asymptotic Virtual Age

Ji Hwan Cha, Maxim Finkelstein

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


We consider imperfect, periodic preventive maintenance of items with increasing failure rates, and minimal repairs in-between. The imperfect maintenance is performed in accordance with a Kijima II virtual age model. The obtained deterministic asymptotic value of virtual age defines the starting age of an item at the beginning of each cycle in the formulated and analyzed long-run optimization problem. A similar approach is used for the corresponding age-based preventive maintenance, where the starting age of the renewal-type cycle is already a random variable. Some meaningful examples are considered.

Original languageEnglish
Article number7174570
Pages (from-to)187-196
Number of pages10
JournalIEEE Transactions on Reliability
Issue number1
StatePublished - Mar 2016

Bibliographical note

Publisher Copyright:
© 2015 IEEE.


  • Age-based preventive maintenance
  • imperfect repair
  • minimal repair
  • periodic maintenance
  • virtual age


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