The Determination of Optimum Process Mean for a One-Sided Specification Limit Product with Manufacturing Cost and Linear Quality Loss

基於製造成本與線性品質損失考量的單邊規格界限產品最佳製程平均數設定

陳忠和(Chung-Ho Chen)；黃國偉(Kuo-Wei Huang)

二次品質損失函數 ； 規格界限 ； 製程平均數 ； linear quality loss function ； specification limit ； process mean

品質學報

18卷1期（2011 / 03 / 01）

19 - 33

英文

本研究將提出產品具不同品質特性的最佳化模式來決定最佳的製程平均數。研究中採線性品質損失函數來量測產品的品質損失，假設產品具單邊規格界限且產品製造成本爲線性函數，在規格界限內的製造成本與品質特性值偏離規格界限的距離成正比，而在規格界限外的製造成本則假設爲常數。本研究模式的目標爲獲取涵蓋製造商與消費者兩者平均總成本爲最小下的最佳製程平均數，文中將舉常態、對數常態、指數、韋伯等品質特性的數值例子加以說明。

In this paper, we propose the optimization models for determining the optimum process mean under different quality characteristic to minimize the manufacturing cost and the quality loss. The linear quality loss function is used in measuring the quality loss of product. The manufacturing cost is assumed to be positively and linearly proportional to deviation from the one-sided specification limit when the quality characteristic is within specification. The constant manufacturing cost happens when the quality characteristic exceeds specification. The objective of model is to obtain the optimum process mean based on the minimum total expected cost of manufacturer and consumer. Some numerical examples including the normal, lognormal, exponential, and Weibull quality characteristics are provided for illustration.

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