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Optimal burn‐in procedure for periodically inspected systems

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  • Ji Hwan Cha
  • 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 study burn‐in procedure for a system that is maintained under periodic inspection and perfect repair policy. Assuming that the underlying lifetime distribution of a system has an initially decreasing and/or eventually increasing failure rate function, we derive upper and lower bounds for the optimal burn‐in time, which maximizes the system availability. Furthermore, adopting an age replacement policy, we derive upper and lower bounds for the optimal age parameter of the replacement policy for each fixed burn‐in time and a uniform upper bound for the optimal burn‐in time given the age replacement policy. These results can be used to reduce the numerical work for determining both optimal burn‐in time and optimal replacement policy. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007

Suggested Citation

  • Ji Hwan Cha & Jie Mi, 2007. "Optimal burn‐in procedure for periodically inspected systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(7), pages 720-731, October.
    • Handle: RePEc:wly:navres:v:54:y:2007:i:7:p:720-731
    DOI: 10.1002/nav.20240
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    References listed on IDEAS

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    1. Richard Barlow & Larry Hunter, 1960. "Optimum Preventive Maintenance Policies," Operations Research, INFORMS, vol. 8(1), pages 90-100, February.
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