促销策略角度下允许缺货的两层库存模型规划  

Order Quantity Inventory Model with Shortage Quantity and Promotional Index for Two Warehouses

作　　者：陈香堂[1,2] 马卫民[1] 孙秉珍[3] CHEN Xiangtang;MA Weimin;SUN Bingzhen(School of Economics and Management,Tongji University,Shanghai Administration Department,Wenzhou Vocational ＆ Technical College,China;3.School of Economics and Management,Xidian University 200092,China;2.Business Wenzhou 325035,Zhejiang,Xi＇an 710071,China)

机构地区：[1]同济大学经济与管理学院,上海200092 [2]温州职业技术学院工商管理系,浙江温州325035 [3]西安电子科技大学经济与管理学院,西安710071

出　　处：《系统管理学报》2018年第5期990-997,1007,共9页Journal of Systems & Management

基　　金：国家自然科学基金资助项目(71571090;71161016);西安市社会科学规划基金资助项目(17J64)

摘　　要：保持适量的商品库存和采取适度的促销策略是获取竞争优势有效策略。考虑到零售商经常持有两个库存仓库(租赁仓库和店面仓库),从促销策略角度研究了允许缺货的两层库存模型。假设收益函数是关于促销因子的函数,其中市场需求和促销因子相关,分析了两种需求模型,并给出了相应的最优解。研究表明,不同的需求模型下,促销因子和店面仓库容量与收益值之间存在不同的变化趋势。相对于相同成本结构的单层库存,店面仓库容量能提高两层库存系统的收益值,降低收益值的波动性。研究结果可为解决此类库存问题提供决策依据。The effective strategies to gain a competitive edge include employing a suitable quantity of inventory and taking appropriate promotion measures. This paper deals with a backorder economic order quantity（EOQ） model with promotional index（PI）, where retailers maintain two warehouses（their own warehouse and the rented warehouse）. Here, a profit function is developed where the function itself is the function of the promotional index. The demand rate is operationally related to PI variables, and the model has been split into two types. Based on the above generalizations, the optimal solution for each model is presented. The result shows that different profit variation trend varies from promotional index and the storage capacity of own warehouse for two different demand models. Because of the storage capacity of the own warehouse, the profit of the two-warehouse inventory is greater than that of the single-warehouse inventory with equality constraints, and opposite results arise in its volatility. This paper proposes some strategies for the EOQ model with PI and puts forward theoretical basis for inventory management decision-making.

关 键 词：经济批量模型 缺货 促销因子 两层仓库 优化 

分 类 号：F224.9[经济管理—国民经济]