Optimal maintenance strategy for systems with two failure modes

Rui Peng, Bin Liu, Qingqing Zhai, Wenbin Wang

Research output: Contribution to journalArticlepeer-review

39 Citations (Scopus)
7 Downloads (Pure)


This paper considers a single-unit system subject to two types of failures: a traditional catastrophic failure and a two-stage delayed failure. Periodic inspections are carried out to identify the defective stage of the two-stage failure process, whereas preventive replacements are implemented to avoid any potential failure due to the catastrophic failure mode. We construct a basic maintenance model and then extend it to the cases of imperfect inspections (i.e., inspections that do not always notice a defective state). We analyze the renewal process of the system and establish the expected long-run cost rate (ELRCR). The optimal inspection period and preventive replacement interval are determined by minimizing the ELRCR. A case study on infusion pumps is presented to illustrate the proposed model.

Original languageEnglish
Pages (from-to)624-632
Number of pages9
JournalReliability Engineering and System Safety
Early online date29 Jul 2017
Publication statusPublished - 31 Aug 2019


  • periodic inspection
  • preventive replacement
  • delay-time
  • two-stage failure process
  • imperfect inspection


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