品質管理為企業取得競爭優勢之關鍵要素，在產品供應鏈中品質是一個環環相扣的過程，企業若能向供應商穩定獲取高品質水準物料，可提升良率降低成本在下游提升品牌聲譽與顧客忠誠度，建立穩定的供應關係，減少供應風險。抽樣計畫檢驗為現今主流的允收管制模式，抽樣計畫伴隨著可控的風險能大量節省時間資源，而傳統的重複抽樣計畫雖然平均樣本數相較單次低，但會有無限重複檢驗的可能，導致企業的品管行政管理徒增風險與成本。本研究旨在提出一種基於最佳化的方法，透過變數來設計基於製程能力指標Spk之限制次數重複抽樣計畫，以保證允收貨品的良率與品管成本之平衡，以最小化平均樣本數來達成降低成本的目標，同時考慮消費者風險與生產者風險所產生的約束。並建立演算法使其能在實例上被應用驗證，實例應用驗證顯示二次抽樣計畫在樣本數方面整體優於單次，且生產者、消費者風險越低就越表現出其在降低樣本數上的優勢。允收抽樣計畫結合製程能力指標能更全面性的衡量貨批品質，尤其是在要求高良率的科技業製造環境，Spk指標能提供精準的對應良率，而原物料昂貴的單位成本使企業對原物料品質更謹慎，追求降低生產者、消費者風險與抽樣樣本數，在此同時給予恰當的限制次數能使行政管理更穩定，限制次數重複允收抽樣計畫為更具有經濟效益的選擇。

Quality management is crucial for enterprises to gain a competitive advantage. In the product supply chain, maintaining quality is an interconnected process. Consistently sourcing high-quality materials from suppliers enables companies to enhance yield rates, reduce costs, bolster brand reputation, and increase customer loyalty, thereby reducing supply chain risks. Sampling inspection plans are the primary method of acceptance control, significantly saving time and resources with manageable risks. Traditional repeat sampling plans, while having a lower average sample number compared to single sampling plans, risk infinite repeat inspections, thus increasing administrative and management costs. This study proposes an optimized limited-repetition sampling plan based on the process capability index Spk. This approach balances the yield rate of accepted products with quality control costs, aiming to minimize the average sample number while considering consumer and producer risk constraints. An algorithm is developed to validate this method in practical scenarios. Validation indicates that double sampling plans generally outperform single sampling plans in reducing sample numbers, especially as producer and consumer risks decrease.

中文文獻:
褚耀聰（2007）。依據製程能力指標Spk應用複式抽樣方法於供應商選擇。﹝碩士論文。國立交通大學﹞臺灣博碩士論文知識加值系統。 https：//hdl.handle.net/11296/cj6k33。
賴亮伃（2023）。考量次數限制以指標Spk評估供應商之重複允收抽樣計劃。﹝碩士論文。國立成功大學﹞臺灣博碩士論文知識加值系統。 https：//hdl.handle.net/11296/8e4z2r。
高枚妤（2021）。藉由指標Spk評估供應商之允收抽樣計畫。﹝碩士論文。國立成功大學﹞臺灣博碩士論文知識加值系統。 https：//hdl.handle.net/11296/ck9qc8。
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