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Bounding the optimal burn‐in time for a system with two types of failure
Author(s) -
Cha Ji Hwan,
Lee Sangyeol,
Mi Jie
Publication year - 2004
Publication title -
naval research logistics (nrl)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 68
eISSN - 1520-6750
pISSN - 0894-069X
DOI - 10.1002/nav.20045
Subject(s) - burn in , bounding overwatch , failure rate , function (biology) , computer science , catastrophic failure , reliability engineering , upper and lower bounds , mathematical optimization , mathematics , engineering , materials science , mathematical analysis , evolutionary biology , artificial intelligence , composite material , biology
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