An Optimal Policy for CSP-1 with Inspection Errors and Return Cost

具退貨成本與檢驗誤差的CSP-1之最佳檢驗政策

10.29977/JCIIE.200901.0008

林添佑(Tien-Yu Lin)；于鴻福(Hong-Fwu Yu)

CSP-1 ； 檢驗誤差 ； 檢驗數 ； 更新過程 ； CSP-1 ； inspection errors ； clearance number ； renewal process

工業工程學刊

26卷1期（2009 / 01 / 01）

70 - 76

英文

本研究之目的是決定具退貨成本與檢驗誤差下之CSP-1最佳檢驗政策。精確言之，當給定型一誤差與型二誤差時，就可透過長期平均成本達到最小情況下決定出最佳的檢驗數目與抽樣頻率。其中，本研究之成本結構共包含四個：檢驗成本、拒收成本、機會成本與退貨成本。整體而言，檢驗政策主要受到下列七個參數之影響：型一誤差、型二誤差、檢驗成本、機會成本、拒絕成本、退貨成本與不良品比率。解析結果顯示CSP-1有兩個主要的最佳檢驗政策：不檢查與全部檢查。同時，本研究進一步發現當在部分檢查的階段中，檢查的頻率與最佳的檢驗數目是獨立的。

The purpose of this paper is to determine the optimal policy of CSP-1 with inspection errors and return cost. Specifically, for given Type Ⅰ and Type Ⅱ errors, the optimal clearance number and sampling frequency are determined by minimizing the long run average unit cost including the inspection cost, the rejection cost, the opportunity cost, and the return cost. Overall, the analytical results indicate that depending on seven parameters (Type Ⅰ error, Type Ⅱ error, the unit inspection cost, the unit opportunity cost, the rejection cost, the unit return cost, and the process defective fraction), there are two main optimal inspection policies for CSP-1: No inspection and a 100% inspection. Moreover, an interesting result is that the optimal clearance number is independent of the inspection frequency which is the fraction of the units to be inspected during the partial inspection stage.

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