Relationship Between Quality Loss Function and Desirability Function

損失函數與渴望函數之關係

Thomas C. Chuang(莊暢)

《萬能學報》 46期 (2024/07) Pp. 59-66

摘要

The quality loss function proposed by Taguchi establishes a financial measure of the user dissatisfaction with a product's performance as it deviates from a target value. The desirability function approach is an attractive method in industry for the optimization of multiple quality characteristics. This is based on the idea that when the performance of a product or process has multiple quality characteristics, it is completely unacceptable for one of them to be outside of some acceptable values. The desirability function focused on predicted responses to achieve the maximum desirability value, regardless of variance. This paper discusses the relationship between quality loss function and double-exponential desirability function. When the variance is considered in the formulation of double-exponential desirability function, the result reveals that the quality loss function is a special form of the double-exponential desirability function.

關鍵字

quality loss function ； desirability function ； multiple quality characteristics ； double-exponential desirability function

並列摘要

當產品品質偏離目標值時，田口提出的品質損失函數建立了使用者不滿意產品性能的財務衡量標準。渴望函數是工業界常用於最佳化多重品質特性的方法，其概念在於當產品或製程具有多重品質特性時，某品質特性值超出可接受的數值時是完全不能接受的。渴望函數忽略了產品變異，而著重於預測的反應值能達到最大的渴望值。本研究討論損失函數與渴望函數之間的關係，當雙指數渴望函數中考慮變異的情況下，其結果顯示損失函數為雙指數渴望函數的特定模式。

並列關鍵字

損失函數 ； 渴望函數 ； 多重品質特性 ； 雙指數渴望函數

參考文獻

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