基于多目标优化的农作物种植策略模型

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关键词：农作物种植；线性规划；多目标优化；蒙特卡洛方法；Spearman相关系数

中图分类号：S11；O221；O224 文献标志码：A

doi： 10.3969/j .issn.1673-5862.2025.05.012

A multi-objective optimization model for crop planting strategy

YANG Shuhui1，AN Xin1，LIU Fanrui1，ZHAO Hang1，SHEN Xuhao² （1. ， 2. ance Economics，Kunming 650221，China）

Abstract： The prosperity the planting industry serves as a crucial means implementing the rural revitalization strategy. Establishing a crop planting strategy model that aligns with practical circumstances holds great significance for attaining economic efficiency promoting the sustainable development agriculture. In view numerous uncertain factors in rural agriculture， including limited cultivated l the requirements crop rotation， a multi-objective optimization planting strategy model is formulated through linear programming. With the dual objectives “maximizing prit”“minimizing risk”，this model takes into comprehensive consideration key factors such as planting costs，sales revenue， expected sales volume. The weighted-sum method is applied to transform the multi-objective problem into a single-objective one for solution. The Monte Carlo：algorithm is employed to simulate uncertain data， the Kolmogorov-Smirnov（K-S） test is utilized to ensure the rationality the data. Additionall，the Spearman correlation coeficient is used to analyze the correlations between per-mu yield， planting costs， unit sales prices. The results indicate that the model can effectively allcate planting strategies under the constraints limited resources. It not only significantly boosts economic efficiency but also enhances the resilience agricultural production against risks，thereby providing scientific underpinnings for the high-quality development rural agriculture.

Key words： crop cultivation； linear programming； multi-objective optimization；Monte Carloalgorithm；Spearman correlation coefficient

农业作为国民经济的基础，对维护社会稳定具有不可替代的作用。（剩余5679字）