經濟生產批量 (Economic Production Quantity, EPQ) 於生產系統使用上已經有非常久遠的歷史，由於EPQ的便利性使其廣泛被用於存貨管理中，另一個對存貨系統有重大影響的因素為產品退化率，可將產品種類分為耗損性商品與非耗損性商品，兩者考慮因素不相同，因此擁有不同的生產策略。
本研究是針對耗損性商品之經濟訂購批量並考量檢測誤差與一次性優惠，當自行生產廠商面對原始設備製造商 (Original Equipment Manufacturer, OEM) 所提供的一次性優惠時，有兩種選擇--訂購(特殊政策)或不訂購(原始政策);而自行生產與採購的產品瑕疵率不同，當發生檢驗誤差時需要考量因為型二誤差而流入市場之瑕疵品，此類型瑕疵品需多考慮保固成本。對於耗損性商品之退化率，本研究針對兩種不同退化率進行探討，第一種為常數之退化率，常數退化率又分為兩種模型建構，分別為使用泰勒趨近公式簡化與不使用泰勒公式簡化，第二種退化率參考退化性產品之EPQ文獻中所使用之退化率，此種產品有最大生命週期，當超過最大生命週期時即產品轉為廢棄品，且退化率會隨著時間變動而改變。
最後本研究參考過去文獻之參數並且在符合研究假設下，求解出各模型的最佳訂購量與各種情況下的最高的購買價格，當價格高於一定程度，特殊政策就會失去優勢，因此自行生產之廠商便不會向OEM訂購，除了價格外當前的存貨水準也是顯著影響因子之一。

This thesis considers EPQ (Economic Production Quantity) models for deteriorating items with inspection errors and one-time-only discount. When a self-producing company faces a one-time-only discount offered by an OEM (Original Equipment Manufacturer), it should evaluate the optimal make-or-buy decisions. During product inspection process, inspectors may choose falsely a defective item as non-defective. Type I and Type II errors are incorporated in this model to make it more realistic than existing models. This thesis explores the constant and a time varying deterioration rates. For the time varying deterioration rate, the products have a maximum lifetime, and become useless when its lifetime is beyond the maximum lifetime. The objective is to obtain the optimal ordering quantity. Sensitivity analysis is carried out to analyze the discounted price and the timing of the discount. When the discounted price is too high, self-producing company does not place the special order. In addition to the price, the inventory level at the time of the special discount offered is also a significant impact factor.

龔高輝. (2002).運用供應鏈管理系統機制提升國內代工型態資訊產業競爭優勢之研究. 國立中山大學資訊管理學系研究所碩士論文
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