| Summary: | 碩士 === 南華大學 === 管理科學研究所 === 95 === A large number of researchers developed the models in the area of deteriorating inventories, but most researches in inventory did not consider the expiry date of items. In real business behavior, there are many commodity such as food, medication exist the expiry date. Therefore the existence of the expiry date has become an important research topic in production and inventory management. In addition, it is a very common practice to allow customers some grace period before they settle the account with the supplier. This practice is beneficial to both the customers and the suppliers. On the other hand, there are only a few models have been developed considering ramp-type demand in the inventory literature. This type of demand pattern is generally seen in the case of any new brand of consumer goods coming to the market. The demand rate for such items increases with time up to certain time and then ultimately stabilizes and becomes constant. It is believed that such type of demand rate is quite realistic.
Base on the hypotheses we mentioned above, this study develops three inventory models for deteriorating items with a ramp-type demand and the finite production rate is proportional to the demand. In chapter 2, we assumed the existence of the expiry date. In chapter 3, we assumed that a delay in payment is permissible. In chapter 4, we assumed that a delay in payment is permissible and the existence of the expiry date. The object is to find the minimum cost per unit time. In the study, mathematical models are also derived. 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.
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