A new capability index for non-normal distributions based on linex loss function

Abstract

Capability indices are the most common tools in process capability analysis, measuring how much the product meets the costumer expectations. One type of capability indices are loss-based indices that consider the cost of the difference between the product characteristic and its target value. In this work, we apply an asymmetric loss function to construct a new loss-based capability index for non-normal processes allowing a more customized way of considering the costs in capability analysis. The performance of the proposed capability index is studied by simulation results. Three real examples are given to show the utilization of the proposed index.

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