本研究欲建立商品在允許缺貨的情況下之非即時損耗性商品的採購策略,同時考慮了商品是具有剩餘價值的存貨模型。當商品具有剩餘價值且允許缺貨的情形時,此時,需求率為固定常數,並將損耗率假設為兩階段的變化。首先,大多數商品在存貨開始階段不會有損耗情形的發生,而經過一段時間後,商品則會開始產生損耗且損耗率為一個固定常數。然而,當商品在開始階段的損耗是具有剩餘價值,反之,過了某個時點之後商品損耗則會產生額外的處理成本。本文中所建立的數理存貨模型是以傳統的最佳化理論來求得存貨相關總成本為最小值並找出最適當的生產策略。最後,利用數值範例說明求解結果。 In this study, an inventory model is established for non-instantaneous deteriorating items with allowable salvage value and shortage. Under the conditions of salvage value and shortage, the constant production rate and demand rate, are considered the deterioration rate can be divided into two stages. Beginning the model , the goods won’t deteriorate in this period , but after a constant time , the goods is starting to deteriorate as a constant rate. The optimal solution procedures for the present problems are provided, and numerical examples are also followed to illustrate the above-mentioned models