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A note on the upper bound for the optimal work size

Part of: Special processes

Published online by Cambridge University Press:  14 July 2016

Ji Hwan Cha
Ji Hwan Cha*
Affiliation:
Catholic University of Daegu
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Abstract

Mi (2002) recently considered a two-dimensional optimization problem for the optimal age-replacement policy and the optimal work size. In order to find (y ∗,T ∗), Mi (2002) found the optimal age-replacement policy T ∗(y) for each fixed work size y, and then searched for the optimal work size y ∗. When applying this approach, for each fixed work size y, Mi (2002) obtained the bounds for T ∗(y). However, no bound for the optimal work size y ∗ was derived. In this note, the results on the upper bound for the optimal work size y ∗ are given.

Keywords

Two-dimensional optimization problemupper boundoptimal work sizebathtub-shaped failure rate function

MSC classification

Primary: 60K05: Renewal theory
Secondary: 60K10: Applications (reliability, demand theory, etc.)
Type
Short Communications
Information
Journal of Applied Probability , Volume 41 , Issue 1 , March 2004 , pp. 277 - 280
Copyright
Copyright © Applied Probability Trust 2004 

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References

Cha, J. H. (2000). On a better burn-in procedure. J. Appl. Prob. 37, 1099–1103.Google Scholar
Cha, J. H. (2001). Burn-in procedures for a generalized model. J. Appl. Prob. 38, 542–553.Google Scholar
Mi, J. (1994). Burn-in and maintenance policies. Adv. Appl. Prob. 26, 207–221.Google Scholar
Mi, J. (2002). Age-replacement policy and optimal work size. J. Appl. Prob. 39, 296–311.Google Scholar