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AuthorIto, Kodo
AuthorZhao, Xufeng
AuthorNakagawa, Toshio
Available date2020-10-01T11:39:53Z
Publication Date2017
Publication NameApplied Mathematical Modelling
ResourceScopus
URIhttp://dx.doi.org/10.1016/j.apm.2017.01.027
URIhttp://hdl.handle.net/10576/16353
AbstractThis paper takes up the reliability and preventive replacement problems for a K-out-of-n system, where K is a stochastic parameter provided. Firstly, we consider the case when K is predefined as constant numbers as is done with the traditional method, and obtain the system reliability R(t), mean time to failure (MTTF), and replacement policies, in which the number n of units for replacement and replacement time T of operation are, respectively, optimized. Secondly, we focus on the above discussions again when K cannot be predefined constantly, but it is a random variable with an estimated probability function. Furthermore, we give approximate computations in an easier way for MTTF, optimal number n and replacement time T, respectively.
SponsorThis paper was made possible by a Postdoctoral Research Award PDRA1-0116-14107 from the Qatar National Research Fund (a member of The Qatar Foundation).
Languageen
PublisherElsevier Inc.
SubjectMean time to failure
Poisson distribution
Redundant system
Reliability
Replacement
TitleRandom number of units for K-out-of-n systems
TypeArticle
Pagination563-572
Volume Number45
dc.accessType Abstract Only


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