引用本文:江文辉,丁小东,李延来,等.库存水平影响需求下变质品订购、定价和保鲜技术投资的联合决策[J].控制与决策,2020,35(11):2578-2588
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库存水平影响需求下变质品订购、定价和保鲜技术投资的联合决策
江文辉1,丁小东3, 李延来1,2, 徐菱1,2
(1. 西南交通大学交通运输与物流学院,成都611756;2. 西南交通大学综合交通运输智能化国家地方联合工程实验室,成都611756;3. 中国铁道科学研究院集团有限公司运输及经济研究所,北京100081)
摘要:
研究变质品的订购、定价和保鲜技术投资联合决策问题.假设产品需求同时受价格和库存水平的影响,系统不允许缺货并放松期末库存水平为零的约束,零售商拥有有限的货架空间或存储空间,同时考虑零售商可以通过投资保鲜技术减低产品的变质率,以平均利润最大化为目标构建库存水平影响需求下变质品的订购、定价和保鲜技术投资联合决策模型.首先证明最优策略的存在性和唯一性,并给出零售商建立期末库存的条件;然后利用最优解的相关性质设计一个求解模型的多阶段迭代算法;最后通过具体算例验证展示模型和算法的可行性和实用性,并完成相关参数的敏感性分析,获得一定的管理启示.
关键词:  变质品  库存水平影响需求  订购  定价  保鲜技术投资
DOI:10.13195/j.kzyjc.2019.0195
分类号:F253;O227
基金项目:国家自然科学基金项目(71371156,71872153);西南交通大学博士研究生创新基金项目.
Ordering, pricing and preservation technology investment decision for perishable items with inventory-level-dependent demand
JIANG Wen-hui1,DING Xiao-dong3,LI Yan-lai1,2,XU Ling1,2
(1. School of Transportation & Logistic, Southwest Jiaotong University,Chengdu 611756,China;2. National and Combined Engineering Lab of Intelligentizing Integrated Transportation,Southwest Jiaotong University,Chengdu 611756,China;3. Transportation& Economics Research Institute,China Academy of Railway Sciences Corporation Limited,Beijing 100081,China)
Abstract:
This paper studies a joint ordering, pricing and preservation investment decision problem for perishable items. It is assumed that the demand rate is dependent on price and inventory level simultaneously, shortages are not allowed and the restriction of zero ending-inventory is relaxed. And meanwhile considering that the deterioration rate can be controlled by employing a certain preservation technology and the retailer has limited shelf space or storage space. The inventory model of the joint ordering, pricing and preservation investment decision for deteriorating items with inventory-level-dependent demand is proposed with the goal of maximizing the retailer's average profit. First, it is proved that the optimal policy not only exits but also unique, and we also provide the conditions for retailer to build up inventory. Then, an iterative algorithm is designed to find the optimal solution according to the relevant properties of the model. Finally, the numerical example is given to illustrate the feasibility and practicability of the model and algorithm, and the sensitivity analysis of relevant parameters is carried out and some managerial insights are derived.
Key words:  perishable items  inventory-level-dependent demand  ordering  pricing  preservation technology investment

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