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Mean time to failure and availability of semi-Markov missions with maximal repair

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We analyze mean time to failure and availability of semi-Markov missions that consist of phases with random sequence and durations. It is assumed that the system is a complex one with nonidentical components whose failure properties depend on the mission process. The stochastic structure of the mission is described by a Markov renewal process. We characterize mean time to failure and system availability under the maximal repair policy where the whole system is replaced by a brand new after successfully completing a phase before the next phase starts. Special cases involving Markovian missions are also considered to obtain explicit formulas. (C) 2010 Elsevier B.V. All rights reserved.

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Elsevier Science Bv

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Management, Operations research, Management science

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European Journal of Operational Research

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10.1016/j.ejor.2010.07.019

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