Mathematical models for Business Strategies and their Verifications

本研究建立了数学模型来解决以下三种与零售策略相关的问题：●如何在相对较短的时间内区分快速移动产品和慢速移动产品？·盘点存货的适当频率是多少？●特殊陈列商品的最佳订货量是多少？●延长保修期的合适价格是多少？针对上述第一个问题，本研究提出了一个数学模型，并以一家便利店的实际数据为基础验证了其有效性;针对第二个问题，本研究提出了两种数学模型，并以一家超市经理的访谈结果为基础进行了验证;针对第三个问题，本研究阐明了造成库存记录偏差的因素，然后提出了一个考虑这些因素的数学模型。对于最后一个问题，我们把保修期的延长问题看作是零售商和消费者之间的博弈，得到了额外费用的均衡。

This study has built mathematical models for solving the following three kinds of problems associated with retail strategies:● How can we distinguish fast moving products from slow moving products in relatively short term?● What is the adequate frequency of inventory-taking?● What is the optimal order quantity for special display goods?● What is the adequate price for extending warranty period?For the first problem in the above, this study proposed a mathematical model and verified its effectiveness based on the actual data collected from a convenience storer.For the second problem, two kinds of mathematical models were developed and their verifications were carried out on the basis of the interview results to a supermarket manager.For the third problem, we clarified factors that makes deviation of inventory record, and then proposed a mathematical model taking these factors into consideration. For the final problem, we regarded the extension problem of a warranty period as a game between a retailer and a customer and obtained an equilibrium for the additional fee.