Optimal maintenance of semi-markov missions
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KünyeÇekyay, B., Özekici, S. (2015). Optimal maintenance of semi-markov missions. Probability in the Engineering and Informational Sciences, 29(1), 77-98. http://dx.doi.org/10.1017/S0269964814000229
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.