Optimal maintenance policies for a safety‐critical system and its deteriorating sensor |
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| Authors: | Chiel van Oosterom Lisa M Maillart Jeffrey P Kharoufeh |
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| Institution: | 1. Econometric Institute, Erasmus University Rotterdam, 3000 DR Rotterdam, The Netherlands;2. School of Industrial Engineering, Eindhoven University of Technology, 5600 MB Eindhoven, The Netherlands;3. Department of Industrial Engineering, University of Pittsburgh, Pittsburgh, Pennsylvania |
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| Abstract: | We consider the integrated problem of optimally maintaining an imperfect, deteriorating sensor and the safety‐critical system it monitors. The sensor's costless observations of the binary state of the system become less informative over time. A costly full inspection may be conducted to perfectly discern the state of the system, after which the system is replaced if it is in the out‐of‐control state. In addition, a full inspection provides the opportunity to replace the sensor. We formulate the problem of adaptively scheduling full inspections and sensor replacements using a partially observable Markov decision process (POMDP) model. The objective is to minimize the total expected discounted costs associated with system operation, full inspection, system replacement, and sensor replacement. We show that the optimal policy has a threshold structure and demonstrate the value of coordinating system and sensor maintenance via numerical examples. © 2017 Wiley Periodicals, Inc. Naval Research Logistics 64: 399–417, 2017 |
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| Keywords: | maintenance optimization sensor deterioration partially observable Markov decision process threshold policy |
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