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Bounding the optimal burn‐in time for a system with two types of failure

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  • Ji Hwan Cha
  • Sangyeol Lee
  • Jie Mi

Abstract

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 bounds to the optimal burn‐in time and optimal replacement policy maximizing the steady state availability of a repairable system. It is assumed that two types of system failures may occur: One is Type I failure (minor failure), which can be removed by a minimal repair, and the other is Type II failure (catastrophic failure), which can be removed only by a complete repair. Assuming that the underlying lifetime distribution of the system has a bathtub‐shaped failure rate function, upper and lower bounds for the optimal burn‐in time are provided. Furthermore, some other applications of optimal burn‐in are also considered. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004

Suggested Citation

  • Ji Hwan Cha & Sangyeol Lee & Jie Mi, 2004. "Bounding the optimal burn‐in time for a system with two types of failure," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(8), pages 1090-1101, December.
    • Handle: RePEc:wly:navres:v:51:y:2004:i:8:p:1090-1101
    DOI: 10.1002/nav.20045
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    References listed on IDEAS

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    1. Frank Beichelt, 1993. "A unifying treatment of replacement policies with minimal repair," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(1), pages 51-67, February.
    2. Henry W. Block & Thomas H. Savits & Harshinder Singh, 2002. "A Criterion for Burn-in that Balances Mean Residual Life and Residual Variance," Operations Research, INFORMS, vol. 50(2), pages 290-296, April.
    3. Jie Mi, 1996. "Minimizing Some Cost Functions Related to Both Burn-In and Field Use," Operations Research, INFORMS, vol. 44(3), pages 497-500, June.
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