Determining the Optimum Process Mean Under a Beta Distribution

考量貝他分配的最佳製程平均數設定

10.29977/JCIIE.200301.0005

陳忠和(Chung-Ho Chen)；周昭宇(Chao-Yu Chou)

品質損失函數 ； 貝他分配 ； 製程最佳化 ； quality loss function ； beta distribution ； process optimization

工業工程學刊

20卷1期（2003 / 01 / 01）

27 - 32

英文

Phillips與Cho [l7]已發展了品質特性爲貝他分配的最佳製程平均數設定方法，他們是采截尾二次損失函數來量測截尾貝他分配的品質損失。本研究將進一步提出産品具線性品質損失的修正的Phillips與Cho [7]模式來設定最佳製程平均數，幷探討此模式參數的敏感度分析。

Phillips and Cho [17] addressed a method for setting the optimum process mean when the quality characteristic is a beta distribution. They adopted the truncated quadratic loss function to measure the quality loss for a given truncated beta distribution. In this paper, we further propose the modified Phillips and Cho's [17] model with the linear quality loss for determining the optimum process mean. A numerical example is provided and the sensitivity analysis is conducted for illustration.

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