Age-replacement policy for items described by stochastic degradation with dependent increments
- 주제(키워드) preventive maintenance , transformed gamma process , dependent increments
- 주제(기타) Management
- 주제(기타) Operations Research & Management Science
- 주제(기타) Mathematics, Interdisciplinary Applications
- 주제(기타) Social Sciences, Mathematical Methods
- 설명문(일반) [Cha, Ji Hwan] Ewha Womans Univ, Dept Stat, Seoul 120750, South Korea; [Finkelstein, Maxim] Univ Free State, Dept Math Stat, ZA-9300 Bloemfontein, South Africa; [Finkelstein, Maxim] ITMO Univ, 49 Kronverkskiy Pr, St Petersburg 197101, Russia; [Levitin, Gregory] Israel Elect Corp Ltd, IL-31000 Haifa, Israel
- 등재 SCIE, SSCI, SCOPUS
- 발행기관 OXFORD UNIV PRESS
- 발행년도 2022
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000191076
- 본문언어 영어
- Published As https://doi.org/10.1093/imaman/dpab014
초록/요약
We consider a hybrid preventive maintenance policy. As in the classic model of age-replacement, a system is replaced either on failure or on reaching a predetermined age T. Additionally, it can be replaced on reaching a predetermined level of deterioration at some intermediate time in [0,T). We use a transformed gamma process with dependent increments to model the deterioration. A failure of an item occurs when this process reaches a predetermined deterministic level. We show that the proposed policy outperforms the classical one, that is, it achieves a lower value of the long-run cost rate. A detailed numerical illustration is presented and sensitivity analysis for the main parameters of the model is performed. The work in the paper makes an important contribution to maintenance modelling because dependent increments can better represent deterioration of a real system.
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