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AuthorZhao, Xufeng
AuthorMizutani, Satoshi
AuthorNakagawa, Toshio
Available date2021-01-25T06:45:46Z
Publication Date2017
Publication NameCommunications in Statistics - Theory and Methods
ResourceScopus
ISSN3610926
URIhttp://dx.doi.org/10.1080/03610926.2015.1136416
URIhttp://hdl.handle.net/10576/17440
AbstractIt has been modeled for several replacement policies in literatures that the whole life cycle or operating interval of an operating unit should be finite rather than infinite as is done with the traditional method. However, it is more natural to consider the case in which the finite life cycle is a fluctuated parameter that could be used to estimate replacement times, which will be taken up in this article. For this, we first formulate a general model in which the unit is replaced at random age U, random time Y for the first working number, random life cycle S, or at failure X, whichever occurs first. The following models included in the general model, such that replacement done at age T when variable U is a degenerate distribution, and replacement done at working numbers N summed by number N of variable Y, are optimized. We obtain the total expected cost until replacement and the expected replacement cost rate for each model. Optimal age T, working number N, and a pair of (T, N) are discussed analytically and computed numerically. 1 2017 Taylor & Francis Group, LLC.
Languageen
PublisherTaylor and Francis Inc.
SubjectAge replacement
Failure
Finite interval
Life cycle
Working number
TitleReplacement policies for age and working numbers with random life cycle
TypeArticle
Pagination6791-6802
Issue Number14
Volume Number46
dc.accessType Abstract Only


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