Modified Economic Manufacturing Quantity Model for Product with Quality Loss under the Serial Production System and Rectifying Inspection Plan

序列生產系統與選剔檢驗計劃下產品具品質損失的修正經濟生產數量模式之研究

陳忠和(Chung-Ho Chen)

《品質學報》 17卷2期 (2010/04) Pp. 99-113

摘要

最佳製程平均數設定爲現代統計製程管制一重要的方法用以決定品質水準，Al-Sultan於1994年提出一單次抽樣計劃應用於兩部機器從事序列生產系統的最佳製程平均數設定問題。然而，其模式並未考慮產品在規格界限內的品質損失，也未指出接受批中樣本所發現不良品的處置方式，以及未進一步提出整合生產與品質的模式。本研究將進一步提出基於修正的Al-Sultan模式有k部機器從事序列生產與產品具非對稱二次品質損失的修正EMQ模式以獲得每單位時間的最大平均總利潤。

關鍵字

經濟生產數量EMQ ； 選剔檢驗計劃 ； 序列生產系統 ； 製程平均數 ； 規格界限 ； 非對稱二次品質損失函數

並列摘要

The optimum process mean setting is an important method of modern statistical process control for determining the quality level. In 1994, Al-Sultan presented a single sampling plan applied in determining the optimum process mean for two machines in a serial production system. However, he didn’t consider the quality cost for the product within the specification limits, pointed out that the non-conforming items in the sample of accepted lot is replaced or eliminated from the lot, and proposed an integrated model with production and quality. In this paper, the author proposes a modified economic manufacturing quantity (EMQ) model based on a modified Al-Sultan’s model with k machines in a serial production system and asymmetric quadratic quality loss function for obtaining the maximum expected total profit per unit of time.

並列關鍵字

economic manufacturing quantity EMQ ； rectifying inspection plan ； serial production system ； process mean ； specification limits ； asymmetric quadratic quality loss function

參考文獻

Al-Sultan, K. S.(1994).An algorithm for the determination of the optimum target values for two machines in series with quality sampling plans.International Journal of Production Research.32(1),37-45.

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