Bounds to optimal burn-in and optimal work size

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 consider the problem of determining the optimal burn-in time and optimal work size maximizing the long-run average amount of work saved per time unit in the computer applications. Assuming that the underlying lifetime distribution of the computer has an initially decreasing or/and eventually increasing failure rate function, an upper bound for the optimal burn-in time is derived for each fixed work size and a uniform (with respect to the burn-in time) upper bound for the optimal work size is also obtained. Furthermore, it is shown that a non-trivial lower bound for the optimal burn-in time can be derived if the underlying lifetime distribution has a large initial failure rate.

Original languageEnglish
Pages (from-to)227-239
Number of pages13
JournalApplied Stochastic Models in Business and Industry
Issue number3
StatePublished - May 2005


  • Bathtub-shaped failure rate
  • Eventually increasing failure rate
  • Initially decreasing failure rate
  • Optimal burn-in time
  • Optimal work size


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