区分仓库与货架库存需求影响效应的零售商库存决策

中国管理科学 ›› 2012, Vol. 20 ›› Issue (5): 75-82.

区分仓库与货架库存需求影响效应的零售商库存决策

王夏阳, 傅科, 徐迪

中山大学岭南学院, 广东广州 510275

收稿日期:2010-07-20 修回日期:2012-08-22 出版日期:2012-10-29 发布日期:2012-10-27
基金资助:
国家自然科学基金资助项目(71102101);教育部人文社会科学研究青年基金资助项目(10YJC630251);广东省自然科学基金资助项目(10451027501005059);中央高校基本科研业务费专项资金资助

Retailer’s Inventory Decision for Items with Shelf-and Stock-Level-Dependent Demand Differences

WANG Xia-yang, FU Ke, XU Di

Lingnan College, Sun Yat-sen University, Guangzhou 510275, China

Received:2010-07-20 Revised:2012-08-22 Online:2012-10-29 Published:2012-10-27

摘要/Abstract

摘要： 既往有关库存水平影响需求条件下的库存问题研究中,通常对终端库存水平是否存在货架与零售商仓库库存水平的区别未作深入探讨。本文的研究认为,现实中许多零售商拥有仓库,其现有库存水平包括仓库库存和货架库存两部分,而影响需求的仅为与货架展示能力相关的库存,因此有必要对二者的需求影响效应进行区分。在明确这一区别的前提下,本文首先建立了供应商管理库存情况下库存水平影响需求问题的一般库存模型,给出零售商的最优订货策略;并考虑货架的容量限制,给出零售商启用仓库的判断条件。由于仓库库存仅在能够影响货架展示能力的条件下才能够影响消费需求,本文还进一步讨论了在零售商拥有仓库时,区分货架与仓库的库存水平影响需求条件下的最优库存与订货决策。这对于经营不同特征商品的零售商在进行是否需要拥有仓库,以及拥有仓库条件下的库存决策具有很好的参考价值。

关键词: 库存水平影响需求, 货架库存, 库存策略

Abstract: Inventory models for items with stock-level dependent demand usually don't differentiate shelf inventory and warehouse inventory levels further. It is suggested in this paper that most retailers own warehouses in reality, hence the current inventory level is composed of warehouse inventory and shelf inventory. Since only shelf inventory affects demand, it is necessary for us to distinguish these two types of inventory. In this context, firstly, a general inventory model is established for items with stock-level-dependent demand under VMI scenario and the retailer's optimal order policy is gwen. Then the shelf capacity constraint is taken into account and the conditions under which the retailers will start using warehouse are shown. The optimal inventory and order decisions for items with shelf-and stock-level-dependent demand differences when a retailer has warehouse are also discussed. The research results provide valuable references for retailers making decision on whether to enable a warehouse for different items or not, and will also benefit retailers on how to make inventory policy when they own warehouses.

Key words: stock-level-dependent demand, shelf inventory, inventory policy

中图分类号:

C934
F253

王夏阳, 傅科, 徐迪 . 区分仓库与货架库存需求影响效应的零售商库存决策[J]. 中国管理科学, 2012, 20(5): 75-82.

WANG Xia-yang, FU Ke, XU Di. Retailer’s Inventory Decision for Items with Shelf-and Stock-Level-Dependent Demand Differences[J]. Chinese Journal of Management Science, 2012, 20(5): 75-82.

参考文献

[1] Gupta R, Vrat P. Inventory model for stock-dependent consumption rate[J]. Opsearch, 1986,23 (1):19-24.
[2] Baker R C, Urban T L. A deterministic inventory system with an inventory-level- dependent demand rate[J]. Journal of the Operational Research Society,1988, 39 (9): 823-831.
[3] Baker R C, Urban T L. Single-period inventory dependent demand models[J]. Omega 1988,16 (6):605-607.
[4] Wang Yunzeng, Gerchak Y. Supply chain coordination when demand is shelf-space dependent [J]. Manufacturing and Service Operations Management,2001,3 (1):82-87.
[5] Datta T K, Pal A K. A note on an inventory model with inventory-level-dependent demand rate[J]. Journal of the Operational Research Society, 1990,41 (10):971-975.
[6] Datta T K, Pal A K. Deterministic inventory systems for deteriorating items with inventory-level-dependent demand rate and shortages[J]. Opsearch, 1990, 27 (4): 213-224.
[7] Urban T L. An inventory model with an inventory-level-dependent demand rate and relaxed terminal conditions[J]. Journal of the Operational Research Society,1992,43 (7):721-724.
[8] Pal A K, Bhunia A K, Mukherjee R N. Optimal lot size model for deteriorating items with demand rate dependent on displayed stock level (DSL) and partial backordering[J]. European Journal of Operational Research,2004,175:977-991.
[9] Gupta R K, Bhunia A K, Goyal S K. An application of genetic algorithm in a marketing oriented inventory model with interval valued inventory costs and three-component demand rate dependent on displayed stock level[J]. Applied Mathematics and Computation,2007,192:466-478.
[10] Mandal B N, Phaujdar S. An inventory model for deteriorating items and stock- dependent consumption rate[J]. Journal of the Operational Research Society,1989,40 (5):483-488.
[11] Giri B C, Pal S, Goswami A, Chaudhuri K S. An inventory model for deteriorating items with stock-dependent demand rate[J]. European Journal of Operational Research, 1996, 95 (3):604-610.
[12] Ouyang L Y, Hsieh T P, Dye C Y, Chang H C. An inventory model for deteriorating items with stock dependent demand under the conditions of inflation and time-value of money[J]. Engineering Economist,2003,48 (1):52-68.
[13] Gerchak Y, Wang Y. Periodic-review inventory models with inventory-level-dependent demand[J]. Naval Research Logistics,1994,41(1): 99-116.
[14] Ray J, Chaudhuri K S. An EOQ model with stock dependent demand, shortage, inflation and time discounting[J]. International Journal of Production Economics,1997,53 (2): 171-180.
[15] Roy T K, Maiti M. Multi-objective inventory models of deteriorating items with some constraints in a fuzzy environment[J]. Computers and Operations Research,1998,25 (12):1085-1095.
[16] Hwang H, Hahn K H. An optimal procurement policy for items with an inventory- level-dependent demand rate and fixed lifetime[J]. European Journal of Operational Research,2000,127 (3):537-545.
[17] Zhou Yongwu, Yang Shanlin. A two-warehouse inventory model for items with stock-level-dependent demand rate[J]. International Journal of Production Economics,2005,95: 215-228.
[18] 贾涛,徐渝,陈金亮.需求依赖于货架展示量的供应链合同的研究[J].预测, 2005,24(3):70-75.
[19] 贾涛, 徐渝, 赵六度.零售货架的线性补贴策略与供应链协调[J].中国管理科学, 2006,14(2):52-57.
[20] Zhou Yongwu, Min Jie, Goyal S K. Supply-chain coordination under an inventory-level-dependent demand rate[J]. Int. J. Production Economics,2008, 113: 518-527.
[21] Baron O, Berman O, Perry D. Shelf space management when demand depends on the inventory level[J]. Production Operations Management, 2010, 20(5): 714-726.
[22] Chang Chuntao, Teng J T, Goyal S K. Optimal replenishment policies for non-instantaneous deteriorating items with stock-dependent demand[J]. International Journal of Production Economics, 2010, 123(1): 62-68.
[23] Van Donselaar K H, Gaur V, Van Woensel T, et al. Ordering behavior in retail stores and implications for automated replenishment[J]. Management Science, 2010, 56(5): 766-784.
[24] Yao Y, Evers P T, Dresner M E. Supply chain integration in vendor-managed inventory[J]. Decision Support System, 2007, 43: 663-674.
[25] Goswami A, Chaudhuri K S. An economic order quantity model for items with two levels of storage for a linear trend in demand[J]. The Journal of the Operational Research Society,1992,43(2):157-167.