OPTIMAL MAINTENANCE OF SEMI-MARKOV MISSIONS

We analyze optimal replacement and repair problems of semi-Markov missions that are composed of phases with random sequence and durations. The mission process is the minimal semi-Markov process associated with a Markov renewal process. The system is a complex one consisting of non-identical componen...

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Bibliographic Details
Published in:Probability in the engineering and informational sciences 2015-01, Vol.29 (1), p.77-98
Main Authors: Cekyay, Bora, Oezekici, Sueleyman
Format: Article
Language:English
Subjects:
Cost analysis
Failure
Maintenance
Markov analysis
Markov processes
Mathematical models
Missions
Optimization
Phases
Policies
Probability distribution
Repair
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Summary:We analyze optimal replacement and repair problems of semi-Markov missions that are composed of phases with random sequence and durations. The mission process is the minimal semi-Markov process associated with a Markov renewal process. The system is a complex one consisting of non-identical components whose failure properties depend on the mission process. We prove some monotonicity properties for the optimal replacement policy and analyze the optimal repair problem under different cost structures.
ISSN:0269-9648
1469-8951
DOI:10.1017/S0269964814000229