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자연과학대학
통계학전공
Journal papers
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On the multiattempt minimal repair and the corresponding counting process
Title
On the multiattempt minimal repair and the corresponding counting process
Authors
Cha
;
Ji Hwan
;
Finkelstein
;
Maxim
Ewha Authors
차지환
SCOPUS Author ID
차지환
Issue Date
2024
Journal Title
Applied Stochastic Models in Business and Industry
ISSN
1524-1904
Citation
Applied Stochastic Models in Business and Industry vol. 40, no. 1, pp. 206 - 215
Keywords
maintenance
;
minimal repair
;
optimal replacement
;
Poisson process
;
Polya-Aeppli process
Publisher
John Wiley and Sons Ltd
Indexed
SCIE; SCOPUS
Document Type
Article
Abstract
Minimally repaired items are considered. In practice, minimal repair can be unsuccessful, and in this case, it should be repeated. The Polya-Aeppli process, which is a generalization of the Poisson process is used in the article for the corresponding modeling. Some properties, useful for optimal maintenance, are derived. An important generalization to the case when the probability of the unsuccessful attempt is time-dependent is described. An application of the derived results to obtaining the optimal time of replacement for a system with multiattempt minimal repairs is discussed. The study is illustrated by detailed numerical examples. © 2023 John Wiley & Sons Ltd.
DOI
10.1002/asmb.2819
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