| 研究生: |
周芳儀 Chou, Fang-I |
|---|---|
| 論文名稱: |
模糊歸屬函數在修正計數值抽樣檢驗計劃之應用 The modification of attribute acceptance sampling plan using fuzzy membership function |
| 指導教授: |
潘浙楠
Pan, Jen-Nan |
| 學位類別: |
碩士 Master |
| 系所名稱: |
管理學院 - 統計學系 Department of Statistics |
| 論文出版年: | 2004 |
| 畢業學年度: | 92 |
| 語文別: | 中文 |
| 論文頁數: | 61 |
| 中文關鍵詞: | 模糊檢定 、抽樣檢驗計劃 、模糊歸屬函數 |
| 外文關鍵詞: | fuzzy hypothesis, acceptance sampling plan, fuzzy membership functions |
| 相關次數: | 點閱:116 下載:2 |
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工業界在進料或產品量產時,由於受到時間與人力的限制,必須藉由抽樣檢驗計畫隨機抽取一定數量之樣本,經過檢驗或測試後,根據其結果再依統計方法判定此批量是否達到允收的標準。
本研究針對現行MIL-STD-105單次抽樣檢驗計劃的允收過程,以模糊檢定(Fuzzy hypothesis)的方式取代明確檢定(Crisp hypothesis,檢定H0: p AQL 與 H1: p > AQL),再依照現行抽樣檢驗計劃對生產者與消費者風險的定義,將生產者與消費者風險延伸至模糊檢定可適用之形式,並利用模糊歸屬函數建構模糊抽樣檢驗計劃,另進行該計劃與MIL-STD-105在降低生產者與消費者風險表現上之比較分析。
Inspection for acceptance sampling plan is carried out at many stages in manufacturing. In many instances,sampling inspection is used because the cost of 100% inspection is prohibitive.
In this thesis, a fuzzily formulated hypothesis is presented to replace the crisp hypothesis testing (H0: p AQL vs. H1: p > AQL) in order to modify the current MIL-STD-105 attribute acceptance sampling plan. In particular, we redefine the producer’s risk and the consumer’s risk instead of the probability of type I and type II errors, respectively.
Then, the fuzzy membership functions are used to establish the fuzzy attribute acceptance sampling plan and their acceptance numbers, powers and OC curves are compared with those of MIL-STD-105 attribute acceptance sampling plan.
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