Stochastically ordered subpopulations and optimal burn-In procedure

Ji Hwan Cha, Maxim Finkelstein

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21 Scopus citations


Burn-in is a widely used engineering method which is adopted to eliminate defective items before they are shipped to customers or put into operation. In the studies of burn-in, the assumption of a bathtub shaped failure rate function is usually employed, and optimal burn-in procedures are investigated. In this paper, however, we assume that the population is composed of two ordered subpopulations, and optimal burn-in procedures are studied in this context. Two types of risks are defined, and an optimal burn-in procedure is studied which minimizes the weighted risks. The joint optimal solutions for the optimal burn-in procedure, which minimizes the mean number of repairs during the field operation, are also investigated.

Original languageEnglish
Article number5545501
Pages (from-to)635-643
Number of pages9
JournalIEEE Transactions on Reliability
Issue number4
StatePublished - Dec 2010

Bibliographical note

Funding Information:
Manuscript received August 07, 2009; revised February 15, 2010; accepted April 14, 2010. Date of publication August 09, 2010; date of current version November 30, 2010. The work of the J. H. Cha was supported by the Korea Science and Engineering Foundation (KOSEF) under Grant 009-0072661, funded by the Korea government (MOST). The work of the M. Finkelstein was supported by the National Research Foundation of South Africa (NRF) under Grant FA2006040700002. Associate Editor: R. H. Yeh.


  • Burn-in procedure
  • main population
  • minimal repair
  • mixed population
  • ordered subpopulations
  • stochastic order
  • weighted risk


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