In this paper, a stochastic failure model for a system with two dependent failures is proposed and a maintenance policy for such system is studied. The system can fail due to two causes of failure: the failure due to accumulated wear and that due to the catastrophic failure. We analyze the dependence structure of the two competing failure modes. Based on these properties, we develop a maintenance strategy for such system and study the optimal maintenance policy which minimizes the long-run average cost rate.
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Hwan et al. (2016) studied this question.
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