Author(s)

Jie Deng¹, Jian Wang¹, Hao Xu¹, ZhengBo Li^2*

Affiliation(s)

¹Department of Brewing Engineering, MouTai Institute, Renhuai 564500, GuiZhou, China.

²Department of Public Basic Education, MouTai Institute, Renhuai 564500, GuiZhou, China.

Corresponding Author

ZhengBo Li

ABSTRACT

The optimal income problem of crop planting is controlled by various uncertain factors. By controlling for uncertain factors, the problem of crop income can be summarized as the optimization problem of crop planting structure. Reasonable optimization of crop planting structure has an important impact on the economic status of regional farmers, sustainable development of agriculture, and sustainable utilization of land resources. The crop planting structure includes both temporal and spatial structures. Therefore, this article constructs a mathematical model combining linear programming and Monte Carlo method by analyzing the two types of land structures. Firstly, use linear programming to simulate various constraints in crop planting structure, and then increase the randomness in time structure through Monte Carlo method. At the same time, this article also explores the correlation between crop yield per mu, planting cost, and sales price through heat maps, in order to help decision-makers better analyze crop planting structure and improve crop planting income. The results indicate that optimizing the crop planting structure can improve crop yields and provide reference for decision-makers in crop planting planning and market pricing.

KEYWORDS

Crop planting structure; Linear programming; Monte carlo method; Heat map correlation

CITE THIS PAPER

Jie Deng, Jian Wang, Hao Xu, ZhengBo Li. The optimal yield problem of crop planting based on linear programming model. Eurasia Journal of Science and Technology. 2025, 7(2): 20-27. DOI: https://doi.org/10.61784/ejst3072.

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