%0 Journal Article
%T 基于多产品报童模型的自动售货机补货策略研究<br>Replenishment Strategy of Vending Machine Based on Multi Product Newsboy Model
%A 鲁宇婷
%J Service Science and Management
%P 414-428
%@ 2324-7916
%D 2020
%I Hans Publishing
%R 10.12677/SSEM.2020.96052
%X 本文以上海地铁某品牌自动售货机为研究对象，考虑到自动售货机区别于其他传统销售店铺，其每一种商品都有各自固定的货道且容量是有限的，而且频繁的缺货会对顾客带来较差的消费体验，因此将服务水平考虑在内，以需求分布预测作为输入，构建基于货道容量和服务水平双重约束的多产品报童补货模型。对于模型的求解，引入了拉格朗日函数和KKT乘子进行求解。结果发现，1) 较之企业原先在每一个补货时间段对售货机采用全部补满货道的方式，基于货道容量与服务水平双重约束的多产品报童补货模型能够带来更大的收益。2) 考虑服务水平约束，随着服务水平的增大，成本增加速度越来越快，所以运营企业需要选择合理的服务水平使得成本控制在较低的水平。<br />
This paper takes the vending machine of a brand in Shanghai Metro as the research object. Consid-ering that vending machine is different from other traditional stores, each commodity has its own fixed aisle and its capacity is limited. Moreover, frequent out of stock will bring poor consumption experience to customers, so the service will be provided. Considering the level and taking the de-mand distribution forecast as the input, a multi product newsboy replenishment model based on the dual constraints of channel capacity and service level is constructed. Lagrange function and KKT multiplier are introduced to solve the model. The results show that: 1) Compared with the original way of replenishing all the vending machines in each replenishment period, the multi product newsboy replenishment model based on the dual constraints of channel capacity and service level can bring more benefits. 2) Considering the service level constraint, with the increase of service lev-el, the cost increases faster and faster, so the operating enterprises need to choose a reasonable service level to control the cost at a lower level.
%K 自动售货机，补货策略，多产品报童模型，拉格朗日函数<br>Vending Machine
%K Replenishment Strategy
%K Multi Product Newsboy Model
%K Lagrange Function
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=38816