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On optimal replacement of systems with failure rates described by a random jump process

Title
On optimal replacement of systems with failure rates described by a random jump process
Authors
Cha, Ji HwanFinkelstein, MaximLevitin, Gregory
Ewha Authors
차지환
SCOPUS Author ID
차지환scopus
Issue Date
2018
Journal Title
QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL
ISSN
0748-8017JCR Link

1099-1638JCR Link
Citation
QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL vol. 34, no. 8, pp. 1590 - 1604
Keywords
age replacementfailure (hazard) rate processPoisson processpreventive maintenancerandom jump process
Publisher
WILEY
Indexed
SCIE; SCOPUS WOS
Document Type
Article
Abstract
Preventive maintenance (age replacement) of items operating in a random environment modeled by a Poisson shock process, resulting in random jump process in the system failure rate, is considered. The corresponding univariate and bivariate models are described. In the univariate model, an item is replaced either on failure or on the predetermined replacement time, whichever comes first. In the bivariate model, the preventive maintenance is performed also on the occurrence of the mth shock. Each shock in our stochastic model has a triple effect. On one hand, it acts directly on the failure rate of an item, increasing it by a random amount or resulting in a failure. On the other hand, each shock causes additional 'damage', which can be attributed, eg, to a short drop in the output of an item. The corresponding optimization problem is formulated and illustrated by detailed numerical examples.
DOI
10.1002/qre.2343
Appears in Collections:
자연과학대학 > 통계학전공 > Journal papers
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