Translated Titles

Multi-Item and Multi-level Inventory Management with Transportation Capacity Constraint



Key Words

租用車輛 ; 運輸容量限制 ; 自有車輛 ; 多產品 ; 整數比策略 ; 多階存貨 ; own vehicles ; multi-item ; multi-level ; transportation capacity ; Integer Ratio Policies ; hired vehicles



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Chinese Abstract

傳統的經濟訂購量模式(EOQ)只有考慮持有成本與設置成本,運輸成本往往被忽略或是被包含在設置成本當中。且單一產品的運輸成本占年度總物流成本的一半以上,因此,所有存貨模式皆須考量運輸成本的影響。再者,在多階存貨系統中,物流中心與零售商間的存貨關係亦是影響存貨模式。而且整數比策略是用來協調與解決零售商與物流中心間存貨關係的有效方法之一,其目的是為了要最小化系統存貨成本以及在處理接單、檢驗與出貨流程更加地順暢。 本研究在運輸容量限制受限之多階多產品存貨模式。其運輸類型考量自有車輛、租賃車輛及零擔運輸。研究之目的為推導出最佳訂購數量,使其總成本最小化。因此本研究將運輸成本納入經濟訂購量模式(EOQ)之中,並提出一個有效的求解流程。後續經由數值分析與敏感度分析驗證本研究所提出之模型。

English Abstract

The classical Economic Order Quantity (EOQ) captures only the trade-off between inventory carrying cost and setup; transportation cost is either neglected or included in set up cost. Over 50% of the total annual logistics cost of a product can be attributed to transportation, thus any consideration of purchase quantities should consider transportation costs. In multi-level inventory system, distributor and retailers need to synchronize their inventory. Integer Ratio Policies is one of the ways to coordinate the relationship between retailers and distributor. The aim is to minimize the system inventory cost as well as improving the scheduling, receiving, inspection and information processing tasks. This research deals with multi-level multi-item inventory management considering transportation cost and capacity constraint. Three types of transportation are used; namely own vehicles, hired vehicles and Less than Truckload (LTL). The goal of this research is to determine the optimum order interval which results in minimum total cost. Transportation cost is also considered for deciding optimum solution. Solution algorithms to obtain the optimum values are proposed. Numerical examples and sensitivity analysis are performed to verify the effects of parameters change and the behavior of these models.

Topic Category 電機資訊學院 > 工業與系統工程研究所
工程學 > 工程學總論
  1. [1] F. W. Harris, "How Many Parts to Make at Once," Operations Research, vol. 38, pp. 947-950, 1990.
  2. [2] A. Madadi, M. E. Kurz, and J. Ashayeri, "Multi-level inventory management decisions with transportation cost consideration," Transportation Research Part E: Logistics and Transportation Review, vol. 46, pp. 719-734, 9// 2010.
  3. [3] Q.-H. Zhao, S.-Y. Wang, K. K. Lai, and G.-P. Xia, "Model and algorithm of an inventory problem with the consideration of transportation cost," Computers & Industrial Engineering, vol. 46, pp. 389-397, 4// 2004.
  4. [4] S. R. Swenseth and M. R. Godfrey, "Incorporating transportation costs into inventory replenishment decisions," International Journal of Production Economics, vol. 77, pp. 113-130, 5/21/ 2002.
  5. [5] S. K. De Schrijver, E.-H. Aghezzaf, and H. Vanmaele, "Aggregate constrained inventory systems with independent multi-product demand: Control practices and theoretical limitations," International Journal of Production Economics, vol. 143, pp. 416-423, 6// 2013.
  6. [6] H. C. Huang, E. P. Chew, and K. H. Goh, "A two-echelon inventory system with transportation capacity constraint," European Journal of Operational Research, vol. 167, pp. 129-143, 11/16/ 2005.
  7. [7] S. Kar, A. K. Bhunia, and M. Maiti, "Inventory of multi-deteriorating items sold from two shops under single management with constraints on space and investment," Computers & Operations Research, vol. 28, pp. 1203-1221, 10// 2001.
  8. [8] J. A. Muckstadt and R. O. Roundy, "Multi-Item, One-Warehouse, Multi-Retailer Distribution Systems," Management Science, vol. 33, pp. 1613-1621, 1987.
  9. [9] W. J. Baumol and H. D. Vinod, "An Inventory Theoretic Model of Freight Transport Demand," Management Science, vol. 16, pp. 413-421, 1970.
  10. [11] L. D. Burns, R. W. Hall, D. E. Blumenfeld, and C. F. Daganzo, "Distribution Strategies that Minimize Transportation and Inventory Costs," Operations Research, vol. 33, pp. 469-490, 1985.
  11. [12] B. Q. Rieksts and J. A. Ventura, "Optimal inventory policies with two modes of freight transportation," European Journal of Operational Research, vol. 186, pp. 576-585, 4/16/ 2008.
  12. [13] A. A. Taleizadeh, S. T. A. Niaki, and R. Nikousokhan, "Constraint multiproduct joint-replenishment inventory control problem using uncertain programming," Applied Soft Computing, vol. 11, pp. 5143-5154, 12// 2011.
  13. [14] Y. Yang, Q. Yuan, W. Xue, and Y. Zhou, "Analysis of batch ordering inventory models with setup cost and capacity constraint," International Journal of Production Economics.
  14. [15] B. Ghalebsaz-Jeddi, B. C. Shultes, and R. Haji, "A multi-product continuous review inventory system with stochastic demand, backorders, and a budget constraint," European Journal of Operational Research, vol. 158, pp. 456-469, 10/16/ 2004.
  15. [16] J. Shi and G. Zhang, "Multi-product budget-constrained acquisition and pricing with uncertain demand and supplier quantity discounts," International Journal of Production Economics, vol. 128, pp. 322-331, 11// 2010.
  16. [17] C. Haksever and J. Moussourakis, "A model for optimizing multi-product inventory systems with multiple constraints," International Journal of Production Economics, vol. 97, pp. 18-30, 7/18/ 2005.
  17. [18] P. CHEN, "An Inventory Model of Purchase Quantity for Fully-Loaded Vehicles With Maximum Trips in Consecutive Transport Time," Yugoslav Journal of Operations Research, 2013.
  18. [22] R. Roundy, "98%-Effective Integer-Ratio Lot-Sizing for One-Warehouse Multi-Retailer Systems," Management Science, vol. 31, pp. 1416-1430, 1985.
  19. [23] B. Abdul-Jalbar, J. Gutiérrez, and J. Sicilia, "Integer-ratio policies for distribution/inventory systems," International Journal of Production Economics, vol. 93–94, pp. 407-415, 1/8/ 2005.
  20. [24] B. Abdul-Jalbar, A. Segerstedt, J. Sicilia, and A. Nilsson, "A new heuristic to solve the one-warehouse N-retailer problem," Computers & Operations Research, vol. 37, pp. 265-272, 2// 2010.
  21. [25] E. Senyigit and H. Akkan, "A New Heuristic for one Warehouse and N Retailers Problem," Procedia - Social and Behavioral Sciences, vol. 62, pp. 656-660, 10/24/ 2012.
  22. [26] W. Bank, "Measuring Road Transport Performance."
  23. [28] L. B. Schwarz, "A Simple Continuous Review Deterministic One-Warehouse N-Retailer Inventory Problem," Management Science, vol. 19, pp. 555-566, 1973.
  24. [10] F. P. Buffa and J. I. Reynolds, "The Inventory-Transport Model With Sensitivity Analysis by Indifference Curves," Transportation Journal (American Society of Transportation & Logistics Inc), vol. 17, pp. 83-90, Winter77 1977.
  25. 68
  26. [19] S. R. Swenseth and M. R. Godfrey, "Estimating freight rates for logistics decisions," Journal of Business Logistics, vol. 17, pp. 213-231, 1996.
  27. [20] S. N. Bahagia, Sistem Inventori. Bandung: Penerbit ITB, 2006.
  28. [21] H. M. Wee, Inventory Systems: Modeling and Research Methods New York: Nova Science Publishers, Inc., 2011.
  29. 69
  30. [27] K. J. Fender and D. A. Pierce, "An Analysis of the Operational Costs of Trucking: A 2013 Update," 2013.