Optimal repair and replacement policy for a system with multiple components

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Authors
Brendecke, Jan-Wilhelm
Subjects
Failure
Repair
Replace
Multiple Component Models
Maintenance Models
Markov Decision Process
Advisors
Alderson, David L.
Lin, Kyle Y.
Date of Issue
2016-06
Date
Jun-16
Publisher
Monterey, California: Naval Postgraduate School
Language
Abstract
This thesis formulates and solves a Markov decision problem to find the optimal repair and replacement policy for a system of multiple components whose failure rates are age-dependent. We assume that the failure rate for an old component is higher than for that of a new component. When a component fails, it can either be replaced, making it new, or repaired, making it functional but old. An old component can also be replaced proactively. We formulate the model for a single component as a linear program, and perform parametric analysis on the transition probabilities and system rewards to understand when different policies are optimal. We extend the model to include multiple, independent components, and apply the model to a notional infrastructure network whose performance depends on the state of its network links.
Type
Thesis
Description
Series/Report No
Department
Operations Research
Organization
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NPS Report Number
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Distribution Statement
Approved for public release; distribution is unlimited.
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Copyright is reserved by the copyright owner.
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