基于规划模型和遗传算法的蔬菜商品定价与补货研究

Tao Chen, Zikun Luo, Jinhui Liu
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引用次数: 0

摘要

本文主要利用统计学、预测模型、计划模型等多种分析方法,对超市蔬菜定价与补货问题进行了深入研究。首先,对数据进行预处理,绘制频数分布直方图,通过描述性统计分析揭示蔬菜各品类、各单品之间的分布规律和相关性。其次,针对销售额与定价之间的关系,通过成本加成定价公式对销售单价进行平均,利用 MATLAB 对品类总销售量与销售价格之间的关系进行非线性拟合,并通过神经网络对拟合结果进一步优化,建立非线性规划模型,利用遗传算法求解超市的日补货量和定价策略,以实现收益最大化。最后,通过熵权法筛选出排名靠前的单品,建立线性规划模型,预测来日的补货量和定价策略,进一步为超市的销售管理提供有效的决策支持。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Research on Vegetable Commodity Pricing and Replenishment based on Planning Models and Genetic Algorithm
This paper focuses on an in-depth study of supermarket vegetable pricing and replenishment problems, utilizing a variety of methods such as statistics, prediction models, planning models and other methods of analysis. First, the data were preprocessed, and frequency distribution histograms were drawn, revealing the distribution pattern and correlation between each category and each single product of vegetables through descriptive statistical analysis. Secondly, for the relationship between sales and pricing, the sales unit price was averaged through the cost-plus pricing formula, and MATLAB was used to nonlinearly fit the relationship between the total sales volume of the categories and the sales price, and the fitting result was further optimized through neural network, and a nonlinear planning model was established, and a genetic algorithm was used to solve the daily replenishment volume of supermarkets and the pricing strategy in order to achieve the maximization of revenue. Finally, the top-rated individual products were screened out by entropy weighting method, and a linear programming model was established to predict the replenishment quantity and pricing strategy for the coming day, which further provided effective decision support for the sales management of the supermarket.
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