考慮原物料持有成本和隨機規劃期限的經濟生產模型

An Economic Production Quantity Model Considering the Holding Cost of Raw Materials and Random Planning Horizon

李世芳(SHIH-FANG LEE)

指導教授 ： 林賜德 ； 王牧民

中原大學/理學院/應用數學系/博士(2022年)

https://doi.org/10.6840/cycu202201390

摘要

傳統的經濟生產，較少考量原物料的持有成本。實務應用在生產製造的排程作業，必須先備好生產成品所需的原物料或零件，以便生產製造或組裝成品所需。這些原物料或零件入庫後，即產生租用倉儲及儲存保管等持有成本費用，這些都是占總成本的一部份，因此不考慮原物料持有成本是不切實際的。本論文考量加入原物料持有成本，並考慮原物料在儲存期間是否耗損，以及生產成品期間，成品是否耗損等良率問題，並用金錢時間價值以及生產計劃週期是具有(指數分配)隨機規劃的機率模型，在總相關成本最佳(最小)的情況下，求得此隨機規劃的最佳生產週期時間和最佳生產量。

關鍵字 : 經濟生產量、原物料、持有成本、耗損、最佳生產週期、隨機規劃期限、現值

關鍵字

經濟生產量 ； 原物料 ； 持有成本 ； 耗損 ； 最佳生產週期 ； 隨機規劃期限 ； 現值

並列摘要

The traditional economic production quantity takes less consideration of the holding cost of raw materials. In the practical application of production and manufacturing scheduling operations, we must first prepare the raw materials or parts required to manufacture the assembly or finished product. These raw materials or parts will incur storage and holding costs once they are put in the ranted warehouse. These costs are all accounts for a part of the total cost, so it is unrealistic to overlook the holding cost of the raw materials.
This paper, considering the raw materials holding cost, the deterioration of raw materials during storage, the deterioration of finished products during production and other product yield issues, uses the net present value and the production planning cycle which is of random (with exponential distribution) planning horizon model, the optimal production cycle time and optimal production quantity of this random planning are obtained when the relevant total cost is optimal (minimum).

Keywords : economic production quantity · raw materials · holding cost · deterioration · optimal production cycle · random planning horizon · present value

並列關鍵字

economic production quantity ； raw materials ； holding cost ； deterioration ； optimal production cycle ； random planning horizon ； present value

參考文獻

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