Optimal burn-in procedure for periodically inspected systems

Ji Hwan Cha, Jie Mi

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


Burn-in is a widely used method to improve the quality of products or systems after they have been produced. In this paper, we study burn-in procedure for a system that is maintained under periodic inspection and perfect repair policy. Assuming that the underlying lifetime distribution of a system has an initially decreasing and/or eventually increasing failure rate function, we derive upper and lower bounds for the optimal burn-in time, which maximizes the system availability. Furthermore, adopting an age replacement policy, we derive upper and lower bounds for the optimal age parameter of the replacement policy for each fixed burn-in time and a uniform upper bound for the optimal burn-in time given the age replacement policy. These results can be used to reduce the numerical work for determining both optimal burn-in time and optimal replacement policy.

Original languageEnglish
Pages (from-to)720-731
Number of pages12
JournalNaval Research Logistics
Issue number7
StatePublished - Oct 2007


  • Bathtub-shaped failure rate
  • Eventually increasing failure rate
  • Initially decreasing failure rate
  • Inspection model
  • Optimal burn-in time
  • Optimal replacement policy


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