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AuthorIto, Kodo
AuthorZhao, Xufeng
AuthorNakagawa, Toshio
Available date2021-10-14T10:32:26Z
Publication Date2017-05
Publication NameApplied Mathematical Modelling
Identifierhttp://dx.doi.org/10.1016/j.apm.2017.01.027
URIhttp://hdl.handle.net/10576/24191
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.
Languageen
PublisherElsevier
SubjectRedundant system
Mean time to failure
Replacement
Poisson distribution
Reliability
TitleRandom number of units for K-out-of-n systems
TypeArticle
PaginationPages 563-572
Volume Number45
dc.accessType Open Access


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