多重品質特性之穩健設計最佳化方法

OPTIMIZATION OF ROBUST DESIGN FOR MULTIPLE QUALITY CHARACTERISTICS

吳復強(Ful-Chiang Wu)

指導教授 ： 徐旭昇

元智大學/工程學院/工業工程與管理學系/博士(2004年)

摘要

近年來，在許多不同企業中，相當廣泛地應用穩健設計於產品變異的降低來提升品質與降低成本。傳統的穩健設計主要針對單一品質特性的最佳化，而產品或製程實際上具有多重品質特性。因此，多重品質特性之最佳化方法對企業是相當重要的議題。過去已有許多文獻提出靜態多重品質特性的參數設計最佳化方法，然而，很少把重點放在動態多重品質特性的問題上。本論文提出以總平均品質損失最小化為目標之數學規劃法，進行品質特性之損失函數為非對稱型且品質特性之間具有關聯性的靜態與動態多重品質特性問題的最佳化程序。最後，利用過去文獻所引用的11個案例來闡述所提最佳化程序與模式之數值分析，並與過去文獻所提方法之結果進行分析比較。其結果驗證所提方法相當成功地獲得最佳參數條件，並具有能力來處理一般化之多重品質特性的問題。

關鍵字

穩健設計 ； 多重品質特性 ； 相關聯品質特性 ； 非對稱型損失函數 ； 數學規劃法

並列摘要

Recently, robust design has been widely applied to variation reduction to increase quality and lower cost in many different industries. The traditional robust design was focused on optimizing a single quality characteristic. A real problem in a product or process possesses multiple quality characteristics. The optimization methods of multiple quality characteristics design have thus become crucial issues for industries. Several articles have presented approaches to optimizing the parameter design with multiple static quality characteristics. However, little attention has been focused primarily on optimizing the multiple dynamic quality characteristics. This thesis presents an approach to optimizing the correlated multiple quality characteristics with asymmetric loss functions by mathematical programming model for the static and dynamic problems. The goal is minimizing the total average quality loss for experiments. This proposed procedure is illustrated with data from eleven previously published articles. A numerical analysis of the model is provided and the results are compared with those of previous approaches. The proposed method has been shown to successfully obtain the optimal parameter conditions. This proposed procedure has the power to be generalized to multiple quality characteristics problem.

並列關鍵字

robust design ； multiple quality characteristics ； correlated characteristics ； asymmetric loss function ； mathematical programming

參考文獻

Array with Fuzzy Logic and Grey Relational Analysis

“Optimization Problems and Methods in Quality Control and

4. Chen, L.-H., (1997), “Designing Robust Products with

Operations Research, 24(10), pp. 937-944.

with Correlated Multiple Responses,” Journal of Quality