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New failure and minimal repair processes for repairable systems in a random environment

Title
New failure and minimal repair processes for repairable systems in a random environment
Authors
Cha, Ji HwanFinkelstein, Maxim
Ewha Authors
차지환
SCOPUS Author ID
차지환scopus
Issue Date
2019
Journal Title
APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY
ISSN
1524-1904JCR Link

1526-4025JCR Link
Citation
APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY vol. 35, no. 3, pp. 522 - 536
Keywords
cumulative shock modelextreme shock modelinformation-based minimal repairnonhomogeneous poisson processrandom environmentstatistical minimal repair
Publisher
WILEY
Indexed
SCIE; SCOPUS WOS
Document Type
Article
Abstract
Most often, minimal repair is defined as a replacement of a failed item by an operable item that has the same distribution of the remaining lifetime as the failed one just prior a failure. This is the so-called statistical minimal repair extensively explored in the literature. Another well-known type of minimal repair takes into account the state of a system prior to a failure (the information-based minimal repair). In this paper, we suggest the new type of minimal repair to be called conditional statistical minimal repair. Our approach goes further and deals with the corresponding minimal repair processes for systems operating in a random environment. Moreover, we also consider heterogeneous populations of items, which makes the model more realistic. Both of these aspects that affect the failure mechanism of items are studied. Environment is modeled by the nonhomogeneous Poisson shock process. Two models for the failure mechanism defined by the extreme shock model and the cumulative shock model, respectively, are considered. Some examples illustrating our findings are presented.
DOI
10.1002/asmb.2331
Appears in Collections:
자연과학대학 > 통계학전공 > Journal papers
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