Optimal Ordering Policy for an Economic Order Quantity Model with Inspection Errors and Inspection Improvement Investment

考慮檢查程序發生錯誤且得以投資資金改善檢查程序的經濟訂購量模型之最適訂購策略

10.6186/IJIMS.2014.25.4.3

歐陽良裕(Liang-Yuh Ouyang)；蘇家嫻(Chia-Hsien Su)；和家慧(Chia-Huei Ho)；楊志德(Chih-Te Yang)

存貨 ； 不良品 ； 檢查錯誤 ； 檢定力 ； 投資資金 ； Inventory ； defective products ； inspection error ； power of the test ； capital investment

International Journal of Information and Management Sciences

25卷4期（2014 / 12 / 01）

317 - 330

英文

消費者保護自身權益意識的擡頭，使得越來越多的企業注重其產品品質。若企業無法在出售產品前檢查出不良品，會造成成本提高、銷售收入減少、聲譽受損，進而降低競爭力。本研究考慮零售商收到的商品中含有不良品的經濟訂購量(EOQ)模型，雖然零售商進行商品品質檢查，但是檢查程序不完善。我們假設檢查結果會發生型I和型II檢查錯誤，且市場需求率與型II檢查錯誤有關。為改善檢查程序的品質，零售商會投資資金以降低型II檢查錯誤的發生。本研究擬決定最適的訂購量和檢定力，使得單位時間總利潤有最大值。對所建立的存貨模型，數學分析方法將用來證明最適解存在；接著，發展一演算法以幫助求解。最後，以數值範例說明求解過程，並對重要的參數進行敏感性分析。

The rise of consumer rights has caused businesses to focus increasingly on product quality. The inability of businesses to identify defective items before selling them results in higher return costs, decreased sales revenue, damaged reputations, and decreased competitiveness. This study examines the economic order quantity (EOQ) model in which the retailer discovers defective goods among received products. Although retailers conduct quality inspections, the inspection process is imperfect. We assume that Type I and Type II inspection errors occur during product quality inspection and that the market demand rate is sensitive to Type II inspection errors. To improve inspection, the retailer invests capital to decrease Type II inspection errors. This study investigates the optimal order quantity and the power of the test to maximize total profit per unit time. Mathematical analysis is used to show the optimal solution exists. An algorithm is then developed to calculate the optimal solution. Finally, numerical examples demonstrate the solution process and sensitivity analysis with respect to major parameters is carried out.

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