需求依赖于库存的易变质品在线采购问题研究  

Online Procurement Problem of Inventory-dependent Deteriorating Items

作　　者：郑梦 代文强[2] ZHENG Meng;DAI Wen-qiang(School of Information Management&Engineering,Shanghai University of Finance and Economics,Shanghai 200433,China;School of Management and Economics,University of Electronic Science and Technology of China,Chengdu 611731,China)

机构地区：[1]上海财经大学信息管理与工程学院,上海200433 [2]电子科技大学经济与管理学院,四川成都611731

出　　处：《中国管理科学》2022年第12期26-37,共12页Chinese Journal of Management Science

基　　金：国家自然科学基金资助项目(71871045)。

摘　　要：根据现实生活中常见的库存量越大越吸引消费者购买兴趣的现象,本文建立了需求依赖于库存的易变质品采购模型。在不假设价格服从任何分布的条件下,提出了采购价格不确定背景下的易变质品在线采购策略。本文采用在线问题及其竞争分析的方法来进行建模分析,设计出有效的在线竞争采购价格驱动的(s,S)策略,与离线最优策略进行比较,得出理论竞争比和最优经济采购数量和采购时间间隔。最后,通过数值算例说明该策略在现实中具有较好的实际竞争性能比,且在多个价格序列下都表现良好,从而说明了该策略是鲁棒的,可以为企业提供有价值的决策建议。According to the common phenomenon that the larger the inventory is,the more attractive the purchasing interest of consumers is,a procurement model of deteriorating items is established whose demand rate is inventory-dependent.Under the condition that the future price obeys arbitrary distribution,an online procurement strategy of deteriorating items is proposed under price uncertainty.The online algorithm and its competitive analysis method are used for modeling and analysis,and an effective online competitive procurement strategy is designed.The theoretical competitive ratio and the optimal economic procurement quantity are compared with the optimal offline strategy.Finally,through the numerical analysis,it is proved that the strategy has an excellent competitive performance ratio in reality and performs well under multiple price series,which shows that the strategy is robust and can provide valuable and reasonable decision-making suggestions for firms.

关 键 词：易变质品 需求依赖于库存 在线算法 竞争分析 

分 类 号：F270[经济管理—企业管理]