| Summary: | 碩士 === 中原大學 === 數學研究所 === 89 ===
This paper researches the inventory model contain deterioration and not allow shortage. The first, study the inventory model developed by Aggarwal and Jaggi[1] under permissible delay in payment, the authors point out the inventory model exists the optimal solution but they don’t prove it. In this paper we use the method of mathematical analysis to prove this model exists the optimal solution. The second, this model in-ventory model under the least cost exists the unique optimal ordering cycle length with present value to be discussed, and look for the upper and lower bound of the optimal ordering cycle length value, then use the simple method of dichotomy to compute this optimal ordering cycle length. And because of delay in payment in permissible the cost can be economized, if we regard that as opportunity cost, then the model is similar to the model of the dissertation published by Jaggi and Aggarwal[5] in 1994. The same inventory model in Chung and Ting[2] is not permissible delay in payment. And have the different holding cost computation from Aggarwal and Jaggi[1]. In this paper we compare the diversity of these two different method of computation, then we obtain optimal(least) cost provided by Aggarwal and Jaggi[1]. Finally, we discuss the demand rate in inventory model is linearly function, correct the outcome of authors Chung and Ting[2] is hypothesis of the linearly demand rate function, but use the con-stant demand rate to solve the inventory model.
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