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자연과학대학
통계학전공
Journal papers
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Reducing degradation and age of items in imperfect repair modeling
Title
Reducing degradation and age of items in imperfect repair modeling
Authors
Finkelstein M.
;
Cha J.H.
Ewha Authors
차지환
SCOPUS Author ID
차지환
Issue Date
2022
Journal Title
Test
ISSN
1133-0686
Citation
Test vol. 31, no. 4, pp. 1058 - 1081
Keywords
Gamma process
;
Imperfect repair
;
Remaining lifetime
;
Renewal processes
;
Stochastic comparisons
;
Virtual age
Publisher
Springer Science and Business Media Deutschland GmbH
Indexed
SCIE; SCOPUS
Document Type
Article
Abstract
We develop new models for imperfect repair and the corresponding generalized renewal processes for stochastic description of repairable items that fail when their degradation reaches the specified deterministic or random threshold. The discussion is based on the recently suggested notion of a random virtual age and is applied to monotone processes of degradation with independent increments. Imperfect repair reduces degradation of an item on failure to some intermediate level. However, for the nonhomogeneous processes, the corresponding age reduction, which sets back the ‘clock’ of the process, is also performed. Some relevant stochastic comparisons are obtained. It is shown that the cycles of the corresponding generalized imperfect renewal process are stochastically decreasing/increasing depending on the monotonicity properties of the failure rate that describes the random failure threshold of an item. © 2022, The Author(s) under exclusive licence to Sociedad de Estadística e Investigación Operativa.
DOI
10.1007/s11749-022-00813-2
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