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• W2167652783 abstract "We consider a system subject to shocks that arrive according to a nonhomogeneous pure birth process (NHPBP). As a shock occurs, the system has two types of failures. Type-I failure (minor failure) is rectified by a general repair, whereas type-II failure (catastrophic failure) is removed by an unplanned replacement. The probabilities of these two types of failures depend on the number of shocks since the last replacement. We consider a policy with which the system is replaced at the <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>n</i> th type-I failure, or at any type-II failure. The aim of this paper is to determine the optimal policy <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>n*</i> , the number of minor failures up to replacement that minimizes the expected cost rate of the system subject to NHPBP shocks. The model is a generalization of the existing models, and is more applicable in practice. We present some numerical examples, and show that several classical models are the special cases of our model." @default.
• W2167652783 created "2016-06-24" @default.
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• W2167652783 date "2013-03-01" @default.
• W2167652783 modified "2023-10-08" @default.
• W2167652783 title "Optimal Number of Repairs Before Replacement for a System Subject to Shocks of a Non-Homogeneous Pure Birth Process" @default.
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• W2167652783 doi "https://doi.org/10.1109/tr.2013.2241195" @default.
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