建構以田口能力指標之快速轉換抽樣系統

Developing a Quick Switching Sampling System Based on Taguchi Capability Index

莊雅涵(Chuang, Ya Han)

指導教授 ： 吳建瑋

國立清華大學/工學院/工業工程與工程管理學系/碩士(2016年)

摘要

在現今競爭激烈的社會中，消費者對於產品的要求越來越高，從以往的價格導向轉為品質導向。驗收抽樣計畫為一項實用的品質工具，其可以透過抽樣檢驗方式決定貨批是否允收。而快速轉換抽樣系統（Quick Switching Sampling system, QSS system）包含兩種單次驗收抽樣計畫，分別在正常檢驗及加嚴檢驗下執行，其可根據過去送驗貨批品質好壞在兩種檢驗下快速轉換，有效減少抽樣成本。
　　為了要提供數值來量化製程績效，各式製程能力指標（Process Capability Indices, PCIs）被廣泛的使用。其中基於田口博士提出之損失函數發展出來的田口能力指標（Taguchi capability index）可同時考量製程目標及製程變異。
　　本研究目的為發展基於田口能力指標之快速轉換抽樣系統，並彙整出其三種型態。為了求解出系統參數，本研究建構出最佳化模型，利用非線性規劃求解，並整理出三種型態下之系統參數值。再透過操作特性曲線（Operating Characteristic curve, OC curve）與平均抽樣樣本數（Average Sample Number, ASN）探討系統之績效，並與單次驗收抽樣計畫比較。最後以實例分析進而呈現本研究提出之系統，供未來使用者作參考。

關鍵字

驗收抽樣 ； 快速轉換抽樣系統 ； 損失函數 ； 田口能力指標

並列摘要

Acceptance sampling plan is a practical quality tool which evaluates only parts of products and then decides whether to accept or not on the submitted lot. Quick switching sampling (QSS) system is combined with two variables single sampling plans under normal inspection and tightened inspection.
　　In order to provide numerical measures on process performance, several process capability indices (PCIs) have been applied. Taguchi capability index is developed by incorporating the Taguchi loss function, and takes the process targeting and process variability into consideration simultaneously.
　　This research develops a variables QSS system of three types based on Taguchi capability index. To determine the parameters of three types of system, the problems are formulated as optimization programming. The objective function is to minimize the average sample number (ASN), and the constraints functions are set to fulfill two-point conditions on the operating characteristic (OC) curve. The performance of proposed system is discussed and compared with single sampling plan. Lastly, an application example is illustrated.

並列關鍵字

Acceptance sampling ； Quick switching sampling system ； Loss function ； Taguchi capability index

參考文獻

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