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A further extension of the generalized burn-in model

Part of: Survival analysis and censored data Special processes

Published online by Cambridge University Press:  14 July 2016

Ji Hwan Cha
Ji Hwan Cha*
Affiliation:
Catholic University of Daegu
*
∗ Postal address: Department of Statistical Information, Catholic University of Daegu, 330 Keumrak 1-Ri, Hayang, Gyeongsan, Gyeongbuk, 712-702, Korea. Email address: [email protected]
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Abstract

In this paper, the generalized burn-in and replacement model considered by Cha (2001) is further extended to the case in which the probability of Type II failure is time dependent. Two burn-in procedures are considered and they are compared in cases when both the procedures are applicable. Under some mild conditions on the failure rate function r(t) and the Type II failure probability function p(t), the problems of determining optimal burn-in time and optimal replacement policy are considered.

Keywords

General failure modelburn-inbathtub-shaped functionoptimal burn-inreplacement policy

MSC classification

Primary: 60K10: Applications (reliability, demand theory, etc.)
Secondary: 62N05: Reliability and life testing
Type
Short Communications
Information
Journal of Applied Probability , Volume 40 , Issue 1 , March 2003 , pp. 264 - 270
Copyright
Copyright © Applied Probability Trust 2003 

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References

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Cha, J. H. (2000). On a better burn-in procedure. J. Appl. Prob. 37, 1099–1103.CrossRefGoogle Scholar
Cha, J. H. (2001). Burn-in procedures for a generalized model. J. Appl. Prob. 38, 542–553.Google Scholar
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