臺灣博碩士論文加值系統

在本研究中，我們探討在延遲付款與現金折扣條件下，二階段式付款前提下經濟訂購批量模式的最佳化補貨及付款策略。在實務世界中，零售商若在現金折扣期限內付款即可享有現金折扣。供應商允許零售商延遲付款期限，可以鼓勵零售商的需求，這是因為在付款期限之前，零售商不僅可以累積營收，同時也可將保留的營收放入銀行賺取利息。過去文獻中的研究多只能允許選擇其中一種方式進行付款，本研究中則探討零售商允許同時選擇兩種方式進行付款。我們建立經濟訂購批量模型及運用理論結果提出極有效率的演算法，協助零售商評估最佳的補貨策略與付款策略。數值範例驗證本研究所提出之「二階段式付款策略」，在某些情境下優於單階段方式付款策略。

In this paper, we propose a new EOQ model considering both options of cash discount and delay in payment and allowing two-stage payments. In business transactions, the retailer may obtain cash discount when the payment is done before cash discount due date designated by the supplier. On the other hand, the supplier may offer a fixed credit period to encourage the retailer’s demand since the retailer may keep accumulating revenue and earning interest during the credit period before making its payment. The studies in the literature allow only one between either of these two options. Considering both options and allowing two-stage payments, this study propose a new EOQ model and two effective algorithms that assist the retailer to obtain the optimal replenishment and payment strategy. Our numerical experiments show that the proposed EOQ model with two-stage payment strategy could be superior to the single-stage ones in the literature.

一、 緒論 1
1.1 研究動機與背景 1
1.2 研究目的 2
1.3 研究流程與步驟 2
二、 文獻回顧 4
2.1 延遲付款相關研究 4
2.2 延遲付款與現金折扣之相關研究 7
小結…… 11
三、 最佳付款策略於經濟訂購批量模式在延遲付款與現金折扣條件下之研究.. 13
3.1 在延遲付款與現金折扣條件下的EOQ模型建立 13
3.1.1. 假設、限制與符號定義 14
3.1.2. 二階段付款策略的模式建立 16
3.1.3. 現金折扣期限的單階段付款策略的模式建立 19
3.1.4. 延遲付款期限的單階段付款策略的模式建立 22
3.2 最佳補貨週期 25
3.2.1. 單位時間總成本函數的性質 25
3.2.2. 求解最佳補貨週期 27
3.3. 理論分析 30
3.3.1. 定理1 30
3.3.2. 定理2 31
3.3.3. 定理3.a 31
3.3.4. 定理3.b 32
3.3.5. 定理4 32
3.3.6. 定理5 33
3.3.7. 定理6 33
3.4. 演算法 34
3.4.1. 演算法1 34
3.4.2. 演算法2 36
四、 範例測試與管理意涵剖析 41
4.1. 範例測試 41
4.1.1. 範例參數資料 41
4.1.2. 敏感度分析 42
4.2. 範例討論與剖析 44
4.2.1. 改變付款策略之因素探討 44
4.2.2. 管理意涵闡述與歸納 46
五、 結論與建議 48
六、 參考文獻 49
A. 附錄 51
A.1. 二階段付款策略最佳付款方式之證明 51
A.1.1. 51
A.1.2. 52
A.2. 理論分析證明 53
3.3.1 定理1 53
3.3.2 定理2 56
3.3.3 定理3.a 58
3.3.4 定理3.b 61
3.3.5 定理4 63
3.3.6定理5 73
3.3.7 定理6 76
A.3. 敏感度分析 80
A.3.1. 利潤差異分析 80
A.3.2. 存貨持有成本敏感度分析 83
A.3.3. 供應商收取利息之年利率敏感度分析 85
A.3.4. 產品年需求率敏感度分析 86
A.3.5. 採購成本敏感度分析 88
A.3.6. 投資方案之投資報酬率敏感度分析 90
A.3.7. 現金折扣比率之敏感度分析 92

[1] Leland Blank, and Anthony Tarquin, Engineering Economy, Sixth Edition, McGraw-Hill, 2007.
[2] Solomon, Walther, Vargo, and Plunkett. , Accounting, the Foundation for Business Success, Fifth Edition, South-Western, 1996.
[3] S.P. Aggarwal, and C.K. Jaggi, “Ordering Policies of Deteriorating Items under Permissible Delay in Payments”, Journal of the Operational Research Society, Vol. 46, No. 5, pp. 658-662, 1995.
[4] Chun-Tao Chang, “Extended Economic Order Quantity Model under Cash Discount and Payment Delay”, Information and Management Sciences, Vol. 13, No. 3,pp. 57-69, 2002.
[5] S.K. Goyal, “Economic Order Quantity under conditions of Permissible Delay in Payments”, Journal of the Operational Research Society, Vol. 36, No. 4, pp. 335-338, 1985.
[6] Kun-Jen Chung, “A Theorem on the Determination of Economic Order Quantity under conditions of Permissible Delay in Payments”, Computers & Operations Research, Vol. 25, No. 1, pp. 49-52, 1998.
[7] Kun-Jen Chung, and Yung-Fu Huang, “The optimal cycle time for EPQ inventory model under permissible delay in payments”, International Journal of Production Economics, Vol. 84, pp. 307-318, 2003.
[8] Liang-Yuh Ouyang, Miao-Sheng Chen, and Kai-Wayne Chuang. “Economic Order Quantity Model under Cash Discount and Payment Delay”, Information and Management Sciences, Vol. 13, No. 1, pp. 1-10, 2002.
[9] Liang-Yuh Ouyang, Jinn-Tsair Teng, Kai-Wayne Chuang, and Bor-Ren Chuang, “Optimal inventory policy with noninstantaneous receipt under trade credit”, International Journal of Production Economics, Vol. 98, pp. 290-300, 2005.
[10] Peter Chu, Kun-Jen Chung, and Shaw-Ping Lan, “Economic Order Quantity of Deteriorating Items under Permissible Delay in Payments”, Computers & Operations Research, Vol. 25, No. 10, pp. 817-824, 1998.
[11] Suresh Chand, and James Ward, “A note on Economic Order Quantity under Conditions of Permissible Delay in Payments”, Journal of the Operational Research Society, Vol. 38, No. 1, pp. 83-84, 1987.
[12] Yung-Fu Huang, and Kun-Jen Chung, “Optimal Replenishment and Payment Policies in the EOQ model under Cash Discount and Trade Credit”, Asia-Pacific Journal of Operational Research, Vol. 20, pp. 177-190, 2003.
[13] Yung-Fu Huang. “A note on EOQ Model under Cash Discount and Payment Delay”, Information and Management Sciences, Vol. 16, No. 3, pp. 97-107, 2005.
[14] Yung-Fu Huang, Chung-Li Chou, and Jui-Jung Liao, “An EPQ model under Cash Discount and Permissible Delay in Payments derived without derivatives”, Yugoslav Journal of Operations Research, Vol. 17, No.2, pp. 177-193, 2007.
[15] Yung-Fu Huang. “Economic Order Quantity under conditionally permissible delay in payments”, European Journal of Operational Research, Vol. 176, pp. 911-924, 2007.
[16] Yung-Fu Huang, and Kuang-Hua Hsu. “An EOQ model under retailer partial trade credit policy in supply chain”, International Journal of Production Economics, Vol. 112, pp. 655-664, 2008.