On optimal replacement of systems with failure rates described by a random jump process
- 주제(키워드) age replacement , failure (hazard) rate process , Poisson process , preventive maintenance , random jump process
- 주제(기타) Engineering, Multidisciplinary; Engineering, Industrial; Operations Research & Management Science
- 설명문(일반) [Cha, Ji Hwan] Ewha Womans Univ, Dept Stat, Seoul 120750, South Korea; [Finkelstein, Maxim] Univ Free State, Dept Math Stat, Bloemfontein, South Africa; [Finkelstein, Maxim] ITMO Univ, St Petersburg, Russia; [Levitin, Gregory] Israel Elect Corp Ltd, Reliabil Dept, Haifa, Israel
- 등재 SCIE, SCOPUS
- 발행기관 WILEY
- 발행년도 2018
- URI http://www.dcollection.net/handler/ewha/000000156341
- 본문언어 영어
- Published As http://dx.doi.org/10.1002/qre.2343
초록/요약
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.
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