| Summary: | 碩士 === 淡江大學 === 管理科學研究所碩士班 === 93 === In real life, inventory is one of the most important and basic problem in every walk of life. Therefore, many enterprises want to make the optimal inventory strategy through effective methods. In recent years, the situation of .products deterioration has also been proposed and discussed. In traditional inventory problems, quality is not change with wait time. But in realistic circumstances, products deterioration is normal situation. Besides, if products can not satisfy customers, the shortages would occur. when the shortages occur, some customers are willing to wait for backorder and others would turn to buy from other sellers. Hence, it is very important to make the optimal strategy in order to consider the best economic benefits.
This study consider some inventory models for non-instantaneous deteriorating items with demand rate dependent inventory level and partial backlogging. This article involves two models. First, we discuss the model with fixed backlogging rate. The objective is to find the length of time in which the inventory is no shortage and the length of order cycle such that the minimum total relevant inventory cost per unit time of inventory system. In this model, we can prove that the optimal solution is existence and uniqueness. Because the model is complex, we use software Mathematica4.1 to find the optimal solution. At last we discuss the model with backlogging rate of random distribution and consider quantity discount in this model. The objective is to find the optimal order strategy.
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