2023 National Competition Paper C: Automatic Pricing and Replenishment Strategy for Vegetable Commodities

Due to some force majeure, only a small part of the paper is shown below, and the rest can be found at the end of the article.

1. Restatement of the problem

In the field of fresh food supermarket management, it involves a series of complex issues, including supply chain management, pricing strategies, and market demand analysis. Take vegetable commodities as an example. These commodities have a short shelf life in fresh food supermarkets, and their quality gradually decreases with the passage of sales time. If most vegetable varieties are not sold on the same day, it will be difficult to sell them again the next day. Therefore, supermarkets usually restock daily based on the historical sales data and demand of each product. Since there are many varieties of vegetables sold in supermarkets with diversified origins, and the purchase of vegetables is usually carried out between 3:00 and 4:00 in the morning, this requires merchants to make various plans for the day without fully understanding the specific items and purchase prices. Replenishment decisions for vegetable categories. Generally speaking, vegetables are priced using the "cost-plus pricing" method, and supermarkets usually offer discounts for products affected by transportation losses and quality decline. Reliable market demand analysis is of particular importance in replenishment and pricing decisions. From the demand side, the sales volume of vegetable commodities usually has a certain correlation with time; from the supply side, there are relatively many varieties of vegetables supplied from April to October, but due to the limited sales space of supermarkets , so formulating a reasonable sales mix becomes crucial.

Constraint function 2 is used to meet the requirement that the selling price is greater than the wholesale price; constraint function 3 is used to meet the minimum display quantity requirement; constraint function 4 is used to meet the single product selection quantity requirement; constraint function 5 is used to meet the replenishment quantity list and selection list The requirement of having the same 0 element value position; constraint function 6 is used to meet the requirement that the sales price list and the selection list have the same 0 element value position; constraint function 7 is based on the vegetable category pricing-sales volume function obtained in question 4.2, through The category and pricing of a single vegetable product are used to obtain the sales volume of the single vegetable product; the constraint function 8 is used to meet the market demand for various categories of vegetable products. There are a total of six categories of vegetable single products that require replenishment. The solution is to obtain the supermarket's vegetable single product replenishment and pricing strategy for the next day, as shown in the following table:

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