Dynamically optimal replacement policy for a shock model in a Markov random environment

Dynamically optimal replacement policy for a shock model in a Markov random environment

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Article ID: iaor19961550
Country: Japan
Volume: 37
Issue: 4
Start Page Number: 255
End Page Number: 270
Publication Date: Dec 1994
Journal: Journal of the Operations Research Society of Japan
Authors: , ,
Keywords: quality & reliability, programming: markov decision
Abstract:

The authors consider a system existing in a random environment. The environment is described by a Markov process called Markov environment process (MEP). The system is subject to a sequence of randomly occurring shocks, and each shock causes a random amount of damage which accumulates additively. The shock arrival and shock magnitude are influenced by changes of the environment. The damage process is assumed to be a piecewise semi-Markov process which is constructed by the shock process and the environment process. The optimal maintenance-replacement problem for the system is examined. A control-limit rule dependent on the MEP is driven.

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