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題 名 | 非線性價格下破壞性檢驗貝氏逐次抽樣計畫最適抽樣個數之研究=A Study on Optimal Sample Size for Destructive Inspection of Bayesian Sequential Sampling Plan under Nonlinear Price Function |
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作 者 | 黃允成; 溫鈺如; | 書刊名 | 德明學報 |
卷 期 | 27 民95.06 |
頁 次 | 頁85-103 |
分類號 | 440.8 |
關鍵詞 | 破壞性檢驗; 逐次抽樣; 抽樣檢驗; Destructive inspection; Sequential sampling; Sampling inspection; |
語 文 | 中文(Chinese) |
中文摘要 | 本文針對破壞性檢驗進行研究,同時納入檢驗成本以及因抽樣誤差所造成之誤判損失成本下,以貝氏估計法求得母體不良率之驗後機率,並建構出期望總損失成本函數,且經由電腦數值分析,找出在期望總損失成本為最小化之最適抽樣個數,再運用逐次抽樣之方法,決策者可以在每一逐次觀測中,抽取一個樣本檢驗之,然後決定是否要停止抽樣,或是繼續抽樣後再做決策,建構出逐次抽樣之決策圖,其中,抽樣個數需等到對送驗批產品做允收或拒收之決策時,才隨之而定。文中並針對單位檢驗成本、允收下之損失係數、拒收下之損失係數、送驗批大小及容許不良率上限進行敏感度分析,以探討各參數對期望總損失成本以及相關決策之影響,並獲得七項具體結論,以作為後續研究及實務應用之參考。 |
英文摘要 | In this paper, we focus our attention on sa mple size for destructive inspection under nonlinear price function, and consider inspection cost and cost of sampling error, we applied Bayesian estimation model to derive the posterior pdf of P. We formulated a mathematical model for expected total losses. Applying computerized numerical analysis method, we can find out the optimal sample size that minimize the total losses. Furthermore, we use the concept of sequential sampling, the decision-maker can draw a sample, and inspect it in each sequential observation, and to determine whether to stop sampling and then making decision or not, to construct the decision chart of sequential sampling. We develop a numerical example to illustrate the meaning of this research. Furthermore, sensitivity analysis is taken for unit cost of inspection, lost coefficient under acception, lost coefficient under rejection, lot size and defective rate of lot, respectively. To analysis the influence of each parameter to the total expectation of lost cost and the relevant decision. Finally, seven conclusions are drawn for future studies and applications. |
本系統中英文摘要資訊取自各篇刊載內容。