The problem of crop planting strategies based on the stochastic linear programming model

Abstract

This research aims to optimize crop planting strategies in specific villages within the mountainous areas of North China under the condition of limited cultivated land resources. The objective is to promote the sustainable development of rural economies while providing scientific guidance for planting decisions made by farmers and agricultural enterprises. Considering the significant impact of market fluctuations on agricultural production and the high risks faced by farmers, this study develops a stochastic linear programming (SLP) model based on 2023 data. The model analyzes optimal planting strategies over the next seven years, focusing on the annual sales growth range (5%-10%) of wheat and corn, as well as the sales, yield, planting costs, and price fluctuations of other crops. Incorporating constraints such as plot types and area limitations, the model demonstrates improved planting strategies under market fluctuations, reducing risks in extreme situations and enhancing income stability. The findings underscore the applicability of SLP models in addressing agricultural uncertainties and provide a valuable reference for achieving sustainable rural development in mountainous areas.