Research on the Crop Planting Strategy Based on The Linear Optimization Model

Abstract

Amidst the backdrop of global population growth and climate change, optimizing crop planting strategies to enhance profitability and reduce costs has become a critical approach to addressing food security issues. This paper, based on agricultural planting statistical data from 2023, conducts preliminary data visualization, constructs multi-constraint models step by step, and employs linear programming, robust optimization algorithms, and other numerical solution methods to predict and analyze the optimization of crop planting strategies. Specifically, this study is based on the linear planning model, around the crop area for the decision variable, establish the target function, determine the constraints, optimization strategy after finally get two set scenarios under the next six years of the maximum profit of 41.6709 million yuan and 40.7512 million yuan respectively, unsalable all types of total profit is greater than the price of the total profit. Further, combined with the use of robust optimization model, solve the optimal planting scheme under extreme conditions, and give full consideration to the sales and price fluctuations, and the influence of seasonal change on the output of unit area, aims to achieve risk minimization and benefit maximization, optimization strategy for the final solution after seven years maximum total profit of 41.3328 million yuan.