An integrated model of statistical process control and condition-based maintenance for deteriorating systems |
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Authors: | Liping Liu Lining Jiang Ding Zhang |
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Affiliation: | 1.Business School,Nanjing Normal University,Nanjing,China;2.School of Management Nanjing University of Posts and Telecommunications,Nanjing,China;3.School of Business,State University of New York,Oswego,USA |
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Abstract: | This paper proposes an integrated model of statistical process control and condition-based maintenance for a deteriorating system. We study a system that will not be as good as new after a preventive maintenance and can only survive a certain number of preventive maintenances. The system is modeled as a geometric process and monitored by an (bar{X}) control chart. By analyzing the evolution of the system in different scenarios, we establish a mathematical model to minimize the expected cost during the expected cycle time that can be used to make an optimal replacement policy in applications. A computational scheme is presented and illustrated through a numerical example. A sensitivity analysis is performed to investigate the effect of statistical constraint, mean shift, and the parameters of the system. |
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