Optimal Crop Planting Strategies Based on Multi-Constraint Optimization Models

Abstract

This paper takes crop cultivation in a village as the object of study, and aims to formulate the optimal cultivation scheme for 2024-2030 under a specific situation by establishing a mathematical model, i.e., the optimal scheme for stagnant sales and half-price treatment for the over-expected sales volume, respectively, while the relevant factors of the crops remain stable. In order to achieve profit maximization, the optimization model is established. Firstly, establish decision variables, according to the principle of economics, and at the same time consider the planting time, crop type, plot type to determine the three-dimensional decision variables planting area and 0-1 variable planting. Secondly, establish the sales volume under the super-expected to take the stagnant sales and half-price treatment as well as not exceeding the expected two types of objective function.Finally, the constraints are quantified, including arable land area limitations, crop growth conditions, and crop rotation requirements to prevent continuous monocropping. Additionally, constraints are imposed on the total marketing revenue of a given year, which affects the planting costs for the following year, along with six other key constraints. The optimal solution is obtained through programming, and conclusions are drawn based on the results.