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Optimal replacement and maintenance of systems subject to semi-Markov damage

M. Abdel-Hameed and Y. Nakhi

Stochastic Processes and their Applications, 1991, vol. 37, issue 1, 141-160

Abstract: A system is subject to damage, the damage process is assumed to be an increasing semi-Markov process. The system fails once the damage exceeds the capacity of the system. The system can be replaced before or at failure, and it is maintained continuously. The maintenance and non-failure costs are state dependent. We determine the optimal replacement policies, within the class of control limit policies, according to the total discounted and long-run average cost per unit time criterion.

Date: 1991
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