Optimal Burn-in for minimizing total warranty cost

Ji Hwan Cha, Hisashi Yamamoto, Won Young Yun

Research output: Contribution to journalArticlepeer-review

12 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, optimal burn-in procedures for a system with two types of failures (i.e., minor and catastrophic failures) are investigated. A new system surviving burn-in time b is put into field operation and the system is used under a warranty policy under which the manufacturer agrees to provide a replacement system for any system that fails to achieve a lifetime of at least ω. Upper bounds for optimal burn-in time minimizing the total expected warranty cost are obtained under a more general assumption on the shape of the failure rate function which includes the bathtub shaped failure rate function as a special case.

Original languageEnglish
Pages (from-to)633-641
Number of pages9
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Issue number2
StatePublished - 2008


  • Bathtub shaped failure rate function
  • Complete repair
  • Eventually increasing failure rate function
  • General failure model
  • Minimal repair
  • Optimal burn-in
  • Upper bound


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