本研究建立了非即時損耗性商品在剩餘價值及延遲付款條件下的存貨模型。在非瞬時到貨,剩餘價值及延遲付款的情形下,補貨率為固定常數和變動的需求,並假設損耗率為兩個階段。在存貨開始時,商品並不會有損耗的情形發生,然而在一段時間之後,商品則會呈一個固定的損耗率開始損耗。某一時間點之前損耗之商品具有剩餘價值,廠商可以販售商品獲得收入,而之後的商品無法販售產生額外之處理成本。在延遲付款方面分別探討兩個案例,文中對所建構的數理存貨模式利用傳統的最佳化原理找出最適的訂購策略,以使存貨相關總成本為最少。最後,舉例說明模式的求解過程並對各參數做敏感性分析。 In this study, we establish an inventory model for non-instantaneous deteriorating items with allowable finite replenishment rate and permissible delay in payment. When allowing finite replenishment rate and delay in payment, the constant replenishment rate and various demand, we assume that the deterioration rate is 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. We use two case to discuss the two situation of delay in payment. The optimal solution procedures for the present problems are provided. Numerical examples are presented to illustrate the models, and the sensitivity analysis of the optimal solution with respect to parameters of the systems are also carried out