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Structured replacement policies for a Markov-modulated shock model
Authors:Murat Kurt  Lisa M Maillart
Institution:aDepartment of Industrial Engineering, University of Pittsburgh, United States
Abstract:We establish the optimality of structured replacement policies for a periodically inspected system that fails silently whenever the cumulative number of shocks, or the magnitude of a single shock it has received, exceeds a corresponding threshold. Shocks arrive according to a Markov-modulated Poisson process which represents the (controllable or uncontrollable) environment.
Keywords:Shock model  Markov-modulated Poisson process  Markov decision process  Control-limit policy
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