On optimal burn-in procedures - A generalized model

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Abstract

Burn-in is a manufacturing technique that is intended to eliminate early failures. In this paper, burn-in procedures for a general failure model are considered. There are two types of failure in the general failure model. One is Type I failure (minor failure), which can be removed by a minimal repair or a complete repair; and the other is Type II failure (catastrophic failure), which can be removed only by a complete repair. During the burn-in process, two types of burn-in procedures are considered. In Burn-In Procedure I, the failed component is repaired completely regardless of the type of failure; whereas, in Burn-In Procedure II, only minimal repair is done for the Type I failure, and a complete repair is performed for the Type II failure. Under the model, various additive cost functions are considered. It is assumed that the component before undergoing the burn-in process has a bathtub-shaped failure rate function with the first change point t1, and the second change point t2. The two burn-in procedures are compared in cases when both the procedures are applicable. It is shown that the optimal burn-in time b* minimizing the cost function is always before t1. It is also shown that a large initial failure rate justifies burn-in, i.e., b* > 0. The obtained results are applied to some examples.

Original languageEnglish
Pages (from-to)198-206
Number of pages9
JournalIEEE Transactions on Reliability
Volume54
Issue number2
DOIs
StatePublished - Jun 2005

Bibliographical note

Funding Information:
Manuscript received March 27, 2003; revised September 30, 2003; October 7, 2003. This work was supported by the Korea Research Foundation Grant (KRF-2002-003-D00434). Associate Editor: W.-T. K. Chien. The author is with the Division of Mathematical Sciences, Pukyong National University, Busan 608-737, Korea (e-mail: jhcha@pknu.ac.kr). Digital Object Identifier 10.1109/TR.2005.845966

Keywords

  • Bathtub-shaped failure rate
  • Change point
  • General failure model
  • Optimal burn-in time

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