Burn-in procedure based on a dependent covariate process

Ji Hwan Cha, Gianpaolo Pulcini

Research output: Contribution to journalArticlepeer-review


Burn-in is a method of 'elimination' of initial failures (infant mortality). In the conventional burn-in procedures, to burn-in a component or a system means to subject it to a fixed time period of simulated use prior to actual operation. Then those which fail during the burn-in procedure are scrapped and only those which survived the burn-in procedure are considered to be of satisfactory quality. Thus, in this case, the only information used for the elimination procedure is the lifetime of the corresponding item. In this paper we consider a new burn-in procedure which additionally employs a dependent covariate process in the elimination procedure. Through the comparison with the conventional burn-in procedure, we show that the new burn-in procedure is preferable under commonly satisfied conditions. The problem of determining the optimal burn-in parameters is also considered and the properties of the optimal parameters are derived. A numerical example is provided to illustrate the theoretical results obtained in this paper.

Original languageEnglish
Pages (from-to)506-529
Number of pages24
JournalAdvances in Applied Probability
Issue number2
StatePublished - 1 Jun 2015

Bibliographical note

Publisher Copyright:
© Applied Probability Trust 2015.


  • Burn-in
  • Catastrophic failure
  • Degradation phenomena
  • Dependent covariate process
  • Heterogeneous population
  • Negative quadrant dependent
  • Positive quadrant dependent


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