考量檢驗誤差和退貨成本下之MLP-2和精密檢驗的最適混合檢驗策略

A Mixed Policy for MLP-2 and Precise Inspection under Inspection Errors and Return Cost

10.6220/joq.2013.20(1).06

于鴻福(Hong-Fwu Yu)；陳亭彣(Ting-Wen Chen)

MLP-2 ； 檢驗誤差 ； 退貨成本 ； 精密檢驗 ； 最適混合檢驗策略 ； MLP-2 (multi-level sampling plan with two sampling inspection levels) ； inspection error ； return cost ； precise inspection ； optimal mixed inspection policy

品質學報

20卷1期（2013 / 02 / 28）

115 - 136

繁體中文

本研究的目的是要針對可維修產品，探討MLP-2（multi-level sampling plan with two sampling inspection levels）與精密檢驗之最適混合檢驗策略。更明確地說，在考量檢驗誤差與退貨成本下，以最大化平均單位利潤為目標，探討MLP-2之最佳清查個數（clearance number）和各層的抽樣頻率（sampling frequency），以及於MLP-2抽樣檢驗程序中未檢驗、判定為良品與不良品之產品，施予最佳精密檢驗之比率。分析結果顯示，MLP-2有兩種主要的檢驗策略：（1）一直執行百分百檢驗和（2）自百分百檢驗進入抽樣檢驗後即停止檢驗。而於MLP-2檢驗程序中未檢驗、判定為良品與不良品之產品，應施予精密檢驗之兩種主要比例為：0%和100%。

Under the conditions that inspections in MLP-2 are not perfect and each defective shipped to the buyer will be fined a return cost, this paper investigates a mixed policy between precise inspection and MLP-2 for repairable products. By using the criterion of maximizing the unit net profit, the following decision variables are determined: (1) the optimal clearance number, (2) the optimal sampling frequency of each level, and (3) the proportions on which precise inspection should be taken for the defectives and the non-defectives identified in the procedure of MLP-2 and the non-inspected items. Analytical results indicate that there are two main inspection policies for MLP-2: ”Continue 100% inspection” and ”Stop inspection after 100% inspection;” besides, for the defectives and the non-defectives identified in MLP-2 and the non-inspected items, two main proportions which should be performed precise inspection are: 100% and 0%.

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