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.

中文翻译：

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基于线损函数的非正态分布能力指标

摘要

能力指数是过程能力分析中最常用的工具，用于衡量产品满足客户期望的程度。能力指数的一种类型是基于损失的指数，考虑产品特性与其目标值之间差异的成本。在这项工作中，我们应用非对称损失函数为非正常过程构造了一个新的基于损失的能力指数，从而允许以更定制的方式来考虑能力分析中的成本。仿真结果研究了所提出的能力指标的性能。给出了三个真实的例子来说明所提出的索引的利用率。