當今的商業交易裡，企業通常使用信用交易融資来持續改善和维持供應鏈的盈利能力。信用交易融資可透過控制庫存決策（例如釋放庫存中的資金）來幫助企業面對市場競爭。為了讓賣方與買方都能得到效益，賣方現在更願意根據訂購的數量（即與訂單相關的信用交易）提供買方信用條款。這項研究建立了在退化性商品以控制違約風險為基與訂單相關之信用交易下的EOQ模型，並考慮以下事實:（1）賣方向其客戶提供訂單相關之信用交易，（2）信用期限不僅影響需求的增加，還影響違約風險，（3）需求是售價和信用期限的函数，並且（4）現金流量折現分析法用於包括貨幣的時間價值。目標是確定最佳信貸期限，補貨週期時間和售價，同時使賣方總利潤的現值最大化。此外，本研究還提供了數值示例與敏感度分析，以說明解決方法並獲得一些管理上之觀點。例如，購買成本的價格，價格係數和違約風險係數對總利潤的現值具有最顯著的負面影響。最後，提出結論與未來的研究方向。

In modern business transactions, firms commonly use trade credit financing to continuously improve and maintain profitability in the supply chain. Trade credit financing helps the firms deal with the competitive market by controlling the inventory decisions such as unlock the money tied up in inventory. To obtain beneficial practice for both seller and the buyer, the seller now prefers to provide the buyer credit terms depend on how large the quantity ordered (i.e., order linked trade credit). This research establishes an EOQ (Economic Order Quantity) inventory model under deteriorating products and defaults risk control-based order-linked trade credit by considering the following facts. (1) The seller offers to its customer order-linked trade credit, (2) credit period affects not only on increasing demand but also the default risk, (3) demand is a function of selling price and credit period, and (4) a discounted cash-flow analysis is used to include the time value of money. The objectives are to determine the optimal credit period policies, replenishment cycle time, and selling price while maximizing the present value of the total seller's profit. Also, this research provides numerical examples and sensitivity analysis to illustrate the solution procedure and gain some managerial insight. For example, the value of procurement cost, coefficient of price, and coefficient of default risk have the most significant negative impact on the present value of total profit. Lastly, conclusions and future research directions are presented.

Aggarwal, S. P. and Jaggi, C. K., 1995, Ordering Policies of Deteriorating Items under Permissible Delay in Payments, Journal of the Operational Research Society, Vol. 46, pp. 658-662.
Cambini, A. and Martein, L., 2009, Generalized Convexity and Optimization: Theory and Application, Springer-Verlag Berlin Heidelberg, German, pp. 245.
Cárdenas-Barrón, L. E., Shaikh, A. A., Tiwari, S., and Treviño-Garza, G., 2020, An EOQ Inventory Model with Nonlinear Stock Dependent Holding Cost, Nonlinear Stock Dependent Demand and Trade Credit, Computers & Industrial Engineering, Vol. 139.
Chen, S., Cárdenas-barrón, L. E., and Teng, J., 2014, Retailer’s Economic Order Quantity When the Supplier Offers Conditionally Permissible Delay in Payments Link to Order Quantity, International Journal of Production Economics, Vol.155, pp. 284–291.
Chung, K. and Huang, C., 2009, An Ordering Policy with Allowable Shortage and Permissible Delay in Payments, Applied Mathematical Modelling, Vol.33, No.5, pp. 2518–2525.
Chung, K. and Liao, J., 2006, The Optimal Ordering Policy in a DCF Analysis for Deteriorating Items When Trade Credit Depends on the Order Quantity, International Journal of Production Economics, Vol.100, pp. 116–130.
Dye, C., Yang, C., and Kung, F., 2014, A Note on “ Seller's Optimal Credit Period and Cycle Time in a Supply Chain for Deteriorating Items with Maximum Lifetime’’, European Journal of Operational Research, Vol.239, No.3, pp. 868–871.
Ghare, P. M. and Schrader, G. F., 1963, A Model for an Exponential Decaying Inventory. Journal of Industrial Engineering, Vol. 14, pp.238-243.
Goyal, S. K., 1985, Economic Order Quantity under Conditions of Permissible Delay in Payments, Journal of the Operational Research Society, Vol. 36, pp.335-338.
Heizer, J., Render, B., and Munson, C., 2016, Operations Management: Sustainability and Supply Chain Management, 12nd Ed, Pearson Education Inc, New Jersey.
Huang, Y., 2007, Economic Order Quantity under Conditionally Permissible Delay in Payments, European Journal of Operational Research, Vol.176, pp. 911–924.
Khouja, M. and Mehrez, A., 1996, Optimal Inventory Policy under Different Supplier Credit Policies, Journal of Manufacturing Systems, Vol.15, No.5, pp. 334–339.
Li, R., Chan, Y., Chang, C., and Cárdenas-barrón, L. E., 2017, Pricing and Lot-Sizing Policies for Perishable Products with Advance-Cash-Credit-Payments by A Discounted Cash-Flow Analysis, InternationalJournal of Production Economics, Vol. 193, pp. 578-589.
Li, R., Skouri, K., Teng, J., and Yang, W., 2018, Seller's Optimal Replenishment
Policy and Payment Term among Advance, Cash, and Credit Payments, International Journal of Production Economics, Vol.197, pp. 35–42.
Li, R., Teng, J., and Zheng, Y., 2019, Optimal Credit Term, Order Quantity and Selling Price for Perishable Products When Demand Depends on Selling Price, Expiration Date, and Credit Period, Annals of Operation Research, Vol.280, No.3, pp. 377–405.
Luo, W. and Shang, K. H., 2019, Technical Note — Managing Inventory for Firms with Trade Credit and Deficit Penalty, Operation Research, pp. 1-11.
Lou, K. R. and Wang, W., 2013, Optimal Trade Credit and Order Quantity When Trade Credit Impacts on Both Demand Rate and Default Risk, Journal of the Operation Research Society, Vol.64, No.10, pp. 1551–1556.
Mahata, P., Mahata, G. C., and De, S. K., 2018, An Economic Order Quantity Model under Two-Level Partial Trade Credit for Time Varying Deteriorating Items, Journal of System Science: Operation & Logistics, pp. 1-17.
Ouyang, L., Teng, J., Goyal, S. K., and Yang, C., 2009, An Economic Order Quantity Model for Deteriorating Items with Partially Permissible Delay in Payments Linked to Order Quantity, European Journal of Operational Research, Vol.194, No.2, pp. 418–431.
Palanivel, M. and Uthayakumar, R., 2016, Two-Warehouse Inventory Model for Non – Instantaneous Deteriorating Items with Optimal Credit Period and Partial Backlogging under Inflation, Journal of Control and Decision, Vol.3, pp. 132-150.
Sarkar, B., 2012, An EOQ Model with Delay in Payments and Time Varying Deterioration Rate, Mathematical and Computer Modelling, Vol.55, No.3–4, pp. 367–377.
Shah, N. H., 2015, Manufacturer-Retailer Inventory Model for Deteriorating Items with Price-Sensitive Credit-Linked Demand under Two-Level Trade Credit Financing and Profit Sharing Contract, Cogent Engineering, Vol.83, No.1, pp. 1–14.
Shah, N. H., 2017, Retailer’s Optimal Policies for Deteriorating Items with A Fixed Lifetime under Order-Linked Conditional Trade Credit, Uncertain Supply Chain Management, Vol.5, pp. 126–134.
Shah, N. H., Shah, D. B., and Patel D. G., 2015, Optimal Credit Period and Purchase Quantity for Credit Dependent Trended Demand, OPSEARCH, Vol.52, No.1, pp. 101–107.
Soni, H., Shah, N. H. & Jaggi, C. K., 2010, Inventory Models and Trade Credit : A Review, Control and Cybernetics, Vol.39, No.3, pp. 867-882.
Stemmler, L., 2002, The Role of Finance in Supply Chain Management, In Seuring, S. and Goldbach, M., 2002, Cost Management in Supply Chains, Physica-V erlag Heidelberg, New York, pp. 165-176.
Taleizadeh, A. A., Pourmohammad-Zia, N., and Konstantaras, I., 2019, Partial Linked ‑ to ‑ Order Delayed Payment and Life Time Effects on Decaying Items Ordering, Operation Research.
Taleizadeh, A. A., Pentico, D. W., Jabalameli, M. S., and Aryanezhad, M., 2013, An EOQ Model with Partial Delayed Payment and Partial Backordering, Omega, Vol.41, No.2, pp. 354–368.
Teng, J. and Lou, K., 2012, Seller’s Optimal Credit Period and Replenishment Time in A Supply Chain with Up-Stream and Down-Stream Trade Credits, Journal of Global Optimization, Vol.53, pp. 417–430.
Ting, P., 2015, Comments on The EOQ Model for Deteriorating Items with Conditional Trade Credit Linked to Order Quantity in The Supply Chain Management, European Journal of Operational Research, Vol. 246, pp. 108-118.
Tirole, J., 2010, The Theory of Corporate Finance, Princeton University Press, United State of America.
Tiwari, S., Cárdenas-barrón, L. E., Shaikh, A. A., and Goh, M., 2020, Retailer ’ s Optimal Ordering Policy for Deteriorating Items under Order-Size Dependent Trade Credit and Complete Backlogging, Computers & Industrial Engineering, Vol.139.
Tsao, Y., 2018, Trade Credit and Replenishment Decisions Considering Default Risk, Computers & Industrial Engineering, Vol.117, pp. 41–46.
Tsao, Y., Putri, R. P. F. R., Zhang, C., and Linh, V. T., 2019, Optimal Pricing and Ordering Policies for Perishable Products under Advance ‑ Cash ‑ Credit Payment Scheme, Journal of Industrial Engineering International, Vol.15, pp. 131-146.
Vandana and Sharma, B. K., 2016, An EOQ Model for Retailers Partial Permissible Delay in Payment Linked to Order Quantity with Shortages, Mathematics and Computers in Simulation, Vol.125, pp. 99–112.
Vousinas, G. L., 2019, Supply Chain Fiannace : Definition, Modern Aspect and Research Challenges Ahead, in Tate, W., Bals, L., and Ellram, L., 2019, Supply Chain Finance: Risk Management, Resilience and Supplier Management, Kogan Page, London, pp. 63-95.
Wang, W., Teng, J., and Lou, K., 2014, Seller’s Optimal Credit Period and Cycle Time in a Supply Chain for Deteriorating Items with Maximum Lifetime, European Journal of Operational Research, Vol.232, No.2, pp. 315–321.
Wilson, N. and Summers, B., 2002, Trade Credit Terms Offered by Small Firms : Survey Evidence and Empirical Analysis, Journal of Business Finance and Accounting, Vol.29, pp. 317-351.
Wu, J., Al-khateeb, F., Teng, J., and Cárdenas-barrón, L. E., 2016, Inventory Models for Deteriorating Items with Maximum Lifetime under Downstream Partial Trade Credits to Credit-Risk Customers by Discounted Cash- Flow Analysis, International Journal of Production Economics, Vol.171, pp. 105–115.
Wu, J., Ouyang, L., Cárdenas-barrón, L. E., and Goyal, S. K., 2014, Optimal Credit Period and Lot Size for Deteriorating Items with Expiration Dates under Two-Level Trade Credit Financing, European Journal of Operational Research, Vol.237, No.3, pp. 898–908.