近十年來，損耗性原料及成品的整合性生產存貨模式受到不少學者的重視。大部份的模式導出最佳的原料採購數量或最佳的成品生產策略，在不允許發生成品欠撥之下，求出最佳或次佳的單位時間總成本函數。在本研究中，我們假設原料及成品均依已到存貨中固定的比例發生損耗，並放寬不允許欠撥之假設條件，建立一可允許部份欠撥之整合性生產存貨模式；未補足之欠撥量即發生損失銷售。本文應用古典最佳化理論求出最佳原料採購數量、最佳的成品生產策略使總成本達到最低。此外，以啟發式演算法則找出允許欠撥比例的下限值。最後以實例範例作為模式驗證。本研究發展出來的模式可應用於許多加工業的採購及生產策略上，食品加工業即為一例。

　　　　　The integrated production inventory model for deteriorating raw materials and a deteriorating end product has been popularized by many researchers inthe last decade.Most of the models either developed optimal raw materialreplenishment policies or optimal end product production polices. They developeda optimal or near optimal average total cost strategy for each model. However,none of the existing models considered an integrated production-inventory modelwith partial backordering.In this study, an integrated production inventory model with partial backorderingis developed for deteriorating raw materials and a deteriorating end product. Aclassical optimization technique and heuristic algorithms are presented toderive an optimal replenishment and production policy. A numerical example andsensitivity analysis are implemented to illustrate the theory.