三階供應鏈經濟訂購量模型

Three-stage supply chain economic order quantity model

陳竑廷(Hung-Ting Chen)

指導教授 ： 婁國仁

淡江大學/商管學院/管理科學學系碩士班/碩士(2013年)

https://doi.org/10.6846/TKU.2013.00334

摘要

有部分學者使用微積分以外的方式推導模型，其目的在於使大多數對微積分不熟悉的人們，尤其是企業管理階層，原本可能不是這麼輕易地能夠理解微積分方式的求解過程，在實務上遇到問題也可能不知如何緊急應變；藉由這些以微積分以外的方式所推導的模型也可以用較為簡易的方式理解。然而在存貨議題上，以往傳統上的做法大多是以微積分為基礎做推導，其主要原因在於藉由微積分方式所推導之模型所計算出來的值，理論上應比微積分以外的方式所計算出之結果來得較佳。因此本研究藉由Teng et al. (2013)以算術幾何平均不等式而非微積分之方式所發表的三階整合生產與庫存之供應鏈系統為基礎，對其以微積分重新做推導，並沿用相同的數值範例，以觀其結果與Teng et al. (2013)之計算結果的異同。存貨領域在實務上之運作，多數應為正整數解組較佳，而本模型含有四個決策變數，其中Teng et al. (2013)所計算的兩個交付次數之決策變數結果均為正整數；然而由於本研究以微積分方式作運算，其結果理論上雖較Teng et al. (2013)為佳，但本研究之結果大多為非整數解，故本研究需另外考慮從供應商到經銷商的每個生產週期的交付次數與從經銷商到買家的每個補貨週期的交付次數，這兩個決策變數之整數解，以比較其整數解、非整數解與Teng et al. (2013)所計算結果之差別。

關鍵字

經濟訂購量 ； 供應鏈 ； 存貨 ； 導數

並列摘要

Some researches derive an optimal solution for the inventory model without derivative. The reason is that some students, especially managers, who are unfamiliar with calculus may not be capable of understanding the solution procedure easily. In practice problems may not know how to contingency; through these means other than calculus to derive a model that can also be used relatively easy way to understand. However, in the inventory issues in the past mostly based on traditional practices do calculus-based derivation, mainly due to the manner by derivation calculus model, the calculated value, in theory should be better than non-calculus. Therefore, this study by Teng et al. (2013) to optimal economic order quantity for buyer-distributor-vendor supply chain with backlogging derived without derivatives, based on its derivation to do the calculus, and follows the same numerical examples, in order to observe the results between ours and Teng et al. (2013). Inventories of work in practice areas, the majority should be a positive integer solution set better, and the model contains four decision variables. Teng et al. (2013) to deliver two decision variables are positive integers ; However, in theory, calculus method for computing the results is better than Teng et al. (2013). The results of this study are mostly non-integer solution, therefore this study considered separately number of deliveries per production cycle from the vendor to the distributor and number of deliveries per replenishment cycle from the distributor to the buyer, these two decision variables belong to integer solution, in order to compare the differences among our integer solution, non-integer solution and the results of Teng et al. (2013).

並列關鍵字

EOQ ； Supply chain ； Inventory ； Derivatives

參考文獻

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[5]Teng, J.T., Cardenas-Barron L.E., Lou, K.R., Wee, H.M. (2013). Optimal economic order quantity for buyer-distributor-vendor supply chain with backlogging derived without derivatives, International Journal of Systems Science, Vol. 44, Issue 5, 986-994.