A preventive maintenance policy for a continuously monitored system with correlated wear indicators
- 作者：Sophie Mercier ; sophie.mercier@univ-pau.fr ; Hai Ha Pham haiha.pham@etud.univ-pau.fr
- 关键词：Reliability ; Multivariate Lé ; vy processes ; Dependent wear indicators ; Gamma processes ; Optimal replacement ; Renewal theory
- 刊名：European Journal of Operational Research
- 出版年：2012
- 期刊代码：58_03772217
- 类别：et
- 出版时间：16 October, 2012
- 卷：222
- 期：2
- 页码：263-272
- 文件大小：504 K
摘要
A continuously monitored system is considered, that gradually and stochastically deteriorates according to a bivariate non-decreasing L茅vy process. The system is considered as failed as soon as its bivariate deterioration level enters a failure zone, assumed to be an upper set. A preventive maintenance policy is proposed, which involves a delayed replacement, triggered by the reaching of some preventive zone for the system deterioration level. The preventive maintenance policy is assessed through a cost function on an infinite horizon time. The cost function is provided in full form, and tools are provided for its numerical computation. The influence of different parameters on the cost function is studied, both from a theoretical and/or numerical point of view.