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A degradation process is usually non-linear, and hence there exists one or more change points, where the degradation rate changes quickly. It is useful to determine the change points, e.g., designing an inspection scheme and predicting the time to a functional failure. It is an important issue how to specify the change points. This paper addresses this issue. A spline function with unknown knots is...
The weighting sum method has been widely used in multi-criteria evaluation, ranking, classification and selection problems. A key issue is to determine criteria weights. Many methods to address this issue involve subjectivity. This paper presents an approach to mathematically generate the criteria weights. The proposed approach only needs the importance order of criteria and is mathematically simple...
This paper proposes a simple approximation for the renewal function of the Weibull distribution with an increasing failure rate (i.e., the shape parameter being larger than one). It is developed for using in optimization of preventive maintenance policies. The approximation is a weighted geometer average of the cumulative distribution and hazard functions with the weight being a function of the shape...
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