基于时间序列分析和 BP 神经拟合的蔬菜产品自动定价和补货策略

Chongwei Ren, Yue Yu, Jiadi Suo
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摘要

为减少蔬菜浪费,保证超市收益,本文探索构建一个综合优化模型,帮助超市选择具体合适的补货方案和定价策略。这为其既能获得最大收益,又能及时供应市场所需的各类蔬菜奠定了基础。此外,还提到了期望进一步开展相关研究,以更好地完善该模型。首先,对所附数据进行了预处理,未发现缺失值和异常值。因此,合并了多种形式的数据,并统计了与蔬菜类别相关的数据。针对问题 1,对不同的蔬菜单品和类别进行了描述性统计。通过销售量统计图、利润线图和季度销售量变化图直观地显示了各类蔬菜的销售量。然后,核实销售量是否满足计算皮尔逊相关系数的条件,并绘制热图进行相关分析。对于单个项目,利用销售量、单价、采购数量和损耗率等指标进行分层聚类。此外,还探讨了各类蔬菜的分类依据。对于问题 2,首先使用平均定价取代成本加成定价。然后,利用 BP 神经网络拟合分析不同蔬菜类别的总销售量与平均定价之间的关系。利用 ARIMA 模型预测了各蔬菜类别未来七天的平均批发价格,以获得不同类别的利润。最后,构建了一个非线性目标规划模型,以实现超市的最大效益。给出相应的约束条件,为每种蔬菜类别提出合理的总补货量和定价策略。在求解问题 3 时,根据问题 2 中的非线性目标规划模型添加了约束条件,并对预测模型进行了优化。在满足市场需求的情况下,根据综合因素提出了 2023 年 7 月 1 日的单品补货量和定价策略,以此实现超市利益最大化。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Automatic Pricing and Replenishment Strategy for Vegetable Products Based on Time-Series Analysis and BP Neural Fitting
To reduce the waste of vegetables and guarantee revenues for supermarkets, this paper explores the construction of a comprehensive optimization model to help the supermarket select the specific suitable replenishment scheme and pricing strategy. This sets the bedrock for it to both gain the maximum revenue and timely supply various categories of vegetables that the market demands. The expectation for further relevant research to better complete the model is also mentioned. First, the attached data were preprocessed, and no missing values and outliers were detected. Consequently, the data of multiple forms was merged, and data related to categories of vegetables was counted. In response to Question 1, descriptive statistics were conducted on different individual items and categories of vegetables. Sales volumes of categories of vegetables were visualized through sales volume statistical graphs, profit line graphs, and quarterly sales change graphs. Following, the sales volumes were verified to have satisfied the conditions for calculating the Pearson Correlation Coefficient, and heat maps were drawn for correlation analysis. For individual items, hierarchical clustering was carried out with indicators, such as sales volume, unit price, number of purchases, and wastage rate. The basis of categorization of each category of vegetable was also explored. For Question 2, average pricing was used to replace cost-plus pricing first. Then, BP Neural Net Fitting was leveraged to analyze the relation between total sales volume and average pricing of different vegetable categories. The average wholesale price of the next seven days of each vegetable category was predicted with ARIMA Model, in order to gain the profit of different categories. Finally, a nonlinear objective planning model to achieve maximum benefit for the supermarket was constructed. Corresponding constraints were given to propose a reasonable total replenishment and pricing strategy for each vegetable category. In solving Question 3, constraints were added based on the nonlinear objective planning model in Question 2, and the prediction model was optimized. In the case of meeting market demand, the replenishment volume and pricing strategy for individual items on July 1, 2023, were proposed based on a combination of factors, as a way to maximize the benefits for the supermarket.
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