A preventive maintenance policy for a continuously monitored system with correlated wear indicators
Sophie Mercier and
Hai Ha Pham
European Journal of Operational Research, 2012, vol. 222, issue 2, 263-272
Abstract:
A continuously monitored system is considered, that gradually and stochastically deteriorates according to a bivariate non-decreasing Lévy 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.
Keywords: Reliability; Multivariate Lévy processes; Dependent wear indicators; Gamma processes; Optimal replacement; Renewal theory (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (20)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:222:y:2012:i:2:p:263-272
DOI: 10.1016/j.ejor.2012.05.011
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