以現值研究耗損性產品採信用交易之最佳策略

Optimal Replenishment Policy of Deteriorating Item with Trade Credit and Present Value

陳信名(Hsin-Ming Chen)

指導教授 ： 林賜德

中原大學/理學院/數學研究所/碩士(2001年)

https://doi.org/10.6840/cycu200100053

摘要

本文研究含耗損性且不允許缺貨之存貨模式。首先探討Aggarwal 和Jaggi[1]在考慮延期付款時可節省成本的模式，作者僅指出存貨模式存在最佳解，但未真正證明。因此，我們用數學分析的方法證明存在最佳解。再以現值的觀點去探討此存貨模式最小成本時之最佳訂購週期時間，並求得此最佳訂購週期時間之上、下界值，再用簡單的二分法計算此最佳訂購週期時間。並且因延後付款可節省成本，若以機會成本視之則與Jaggi和Aggarwal[5]於1994年所發表的論文模式相同。在Aggarwal和Jaggi[1]中同樣的存貨模式但不允許延期付款條件下，於Chung和Ting[2]中用不同的方法計算儲存成本，因此本文特別比較此兩種不同計算方法之差異，獲得結論是Aggarwal和Jaggi[1]提供的方法會有最佳(小)之總成本。最後探討需求率為線性函數時的存貨模式修正作者Chung和Ting[2]所用線性需求率函數的假設，而用常數需求率求解模式之結果。

關鍵字

信用交易 ； 訂購週期時間 ； 線性需求 ； 現值 ； 耗損性

並列摘要

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.

並列關鍵字

trade credit ； linearly demand. ； present value ； ordering cycle length ； deterioration

參考文獻

deteriorating items under permissible delay in payments〞, Journal of the

Operational Research Society, Vol. 46, pp. 658-662.

deteriorating items with time propor-tional demand〞Production Planning &

Control, Vol. 5, No. 4, pp. 392-396.

production and inventory systems taking account of time value〞,