損耗性商品於二階供應鏈中考慮信用交易問題之雙倉存貨策略

Two-Warehouse Inventory Models for Deteriorating Items with Supplier Credits under Two-Level Supply Chain

10.7047/JLM.201106.0001

游兆鵬(Jonas Chao-Pen Yu)；陳偉明(Wei-Ming Chen)

存貨 ； 損耗性商品 ； 貨幣時間價值 ； 信用交易 ； 雙倉存貨系統 ； Inventory ； deterioration ； time value of money ； delay in payment ； two-warehouse

運籌與管理學刊

10卷1期（2011 / 06 / 01）

1 - 16

繁體中文

本研究主要在探討單一損耗性商品於二階產銷供應鏈中，相關生產量、交貨次數及儲存量的最佳化問題。商品的損耗率服從指數分配，且由於在有限的倉儲空間下，無法滿足存貨的需求，因此，特別考慮兩個倉庫的儲存供應方式：一個爲自有倉庫(own warehouse)，有儲存空間的限制；另一個則爲租賃倉庫(rent warehouse)，沒有儲存空間限制。租賃倉庫爲了吸引企業長期租賃，推出優惠租賃制度；並在允許缺貨下，考慮補償配銷商而予以信用交易。研究的目的旨在建構一個整合性的二階產銷供應鏈存貨模式，同時討論貨幣時間價值的影響，最後使用赫斯矩陣(Hessian matrix)來驗證其數學函數具有全域極值，並利用Maple軟體程式進行數值運算及求解。經由數值案例與敏感度分析，觀察各個參數的影響，最後做出結論，提供相關產業在面臨上述供應鏈環境決策時的參考。

In this research, deteriorating items under a two-level supply chain is investigated. Deterioration rate is assumed to be exponential distributed. A two-warehouse (own warehouse and rent warehouse) inventory model with a delay in payment is developed. We consider shortage and time value of money in the problem analysis. Assuming that there is an incentive policy offered by the rent warehouse that allows the rental fee to decrease over time, the objective of this study is to minimize the joint cost of the manufacturer and the distributor. Maple software is used in the numerical analysis. A numerical example and sensitivity analysis are presented to illustrate the theory.

1. Wee, H. M.,Yu, C. P.,Law, S. T.(2005).Two-Warehouse Inventory Model with Partial Backordering and Weibull Distribution Deterioration Under Inflation.Journal of the Chinese Institute of Industrial Engineers,22(6),451-462.
   連結：
2. Benkherouf, L.(1997).A Deterministic Order Level Inventory Model for Deteriorating Items with Two Storage Facilities.International Journal of Production Economics,48(2),167-175.
3. Bhunia, A. K.,Maiti, M.(1998).A Two Warehouse Inventory Model for Deteriorating Items with a Linear Trend in Demand and Shortages.Journal of the Operational Research Society,49(3),287-292.
4. Chang, C. T.(2004).An EOQ Model with Deteriorating Items Under Inflation when Supplier Credits Linked to Order Quantity.International Journal of Production Economics,88(3),307-316.
5. Chang, H. C.,Ho, C. H.(2010).Exact Closed-form Solutions for Optimal Inventory Model for Items with Imperfect Quality and Shortage Backordering.Omega,38(3-4),233-237.
6. Chen, L. H.,Kang, F. S.(2010).Coordination Between Vendor and Buyer Considering Trade Credit and Items of Imperfect Quality.International Journal of Production Economics,123(1),52-61.
7. Dey, J. K.,Mondal, S. K.,Maiti, M.(2008).Two Storage Inventory Problem with Dynamic Demand and Interval Valued Lead-Time Over Finite Time Horizon under Inflation and Time-Value of Money.European Journal of Operational Research,185(1),170-194.
8. Dyer, J. H.,Nile H.(2004).Using Supplier Networks to Learn Faster.Sloan Management Review,45(3),57-63.
9. Ghare, P. M.,Schrader, G. F.(1963).A Model for an Exponentially Decaying Inventory.Journal of Industrial Engineering,14(5),238-243.
10. Goyal, S. K.,Giri, B. C.(2001).Recent Trends in Modeling of Deteriorating Inventory.European Journal of Operational Research,134(1),1-16.
11. Hartely, V. R.(1976).Operations Research, A Managerial Emphasis.Santa Monica,315-317.
12. Hoque, M. A.,Goyal, S. K.(2000).An Optimal Policy for a Single-Vendor Single-Buyer Integrated Production Inventory System with Capacity Constraint of the Transport Equipment.International Journal of Production Economics,65(3),305-315.
13. Huang, Y. F.(2003).Optimal Retailer's Ordering Policies in the EOQ Model Under Trade Credit Financing.Journal of the Operational Research Society,54(9),1011-1015.
14. Jaber, M. Y.,Osman, I. H.(2006).Coordinating a Two-Level Supply Chain with Delay in Payments and Profit Sharing.Computers & Industrial Engineering,50(4),385-400.
15. Nahmias, S.(1978).Perishable Inventory Theory: A Review.Operations Research,30(4),680-708.
16. Pakkala, T. P. M.,Achary, K. K.(1991).A Two Warehouse Probabilistic Order Level Inventory Model for Deteriorating Items.Journal of the Operational Research Society,42(12),1117-1122.
17. Pakkala, T. P. M.,Achary, K. K.(1992).A Deterministic Inventory Model for Deteriorating Items with Two Warehouses and Finite Replenishment Rate.European Journal of Operational Research,57(1),71-76.
18. Raafat, F.(1991).Survey of Literature on Continuously Deteriorating Inventory Models.Journal of Operational Research Society,42(1),27-37.
19. Rong, M.,Mahapatra, N. K.,Maiti, M.(2008).A Two Warehouse Inventory Model for a Deteriorating Item with Partially/Fully Backlogged Shortage and Fuzzy Lead Time.European Journal of Operational Research,189(1),59-75.
20. Sarker, B. R.,Jamal, A. M. M.,Wang, S.(2000).Supply Chain Model for Perishable Products under Inflation and Permissible Delay in Payment.Computers and Operations Research,27(1),59-75.
21. Sarma, K.V. S.(1987).A Deterministic Order Level Inventory Model for Deteriorating Items with Two Storage Facilities.European Journal of Operational Research,29(1),70-73.
22. Wee, H. M.,Yu, J.,Chen, M. C.(2007).Optimal Inventory Model for Items with Imperfect Quality and Shortage Backordering.Omega,35(1),7-11.
23. Yang, H. L.(2004).Two-Warehouse Inventory Models for Deteriorating Items with Shortages Under Inflation.European Journal of Operational Research,157(2),344-356.
24. Yang, H. L.(2006).Two-Warehouse Partial Backlogging Inventory Models for Deteriorating Items Under Inflation.International Journal of Production Economics,103(1),362-370.
25. Zhou, Y. W.(2003).A Multi-Warehouse Inventory Model for Items with Time-Varying Demand and Shortages.Computers and Operations Research,30(14),2115-2134.
26. Zhou,Y. W.,Yang, S. L.(2005).A Two-Warehouse Inventory Model for Items with Stock-Level-Dependent Rate.International Journal of Production Economics,95(2),215-228.