Research on Optimal Crop Planting Strategy Based on Mixed-Integer Programming

Authors

  • Changcai Guo
  • Jiachen Zhang
  • Yi Lan

DOI:

https://doi.org/10.54097/11hmq212

Keywords:

Crop Planting Strategy, Mixed-Integer Programming, Sales Strategy, Cost-Benefit Analysis.

Abstract

This study aims to explore the optimal crop planting strategy from 2024 to 2030 based on the Mixed-Integer Programming (MIP) method. Through systematic organization and in-depth analysis of rural crop cultivation and related statistical data collected in 2023, it was found that different types of crop planting plots have no significant impact on sales prices but do affect planting costs and yield per acre. The study also considered the impact of irrigated and greenhouse planting areas, as well as planting seasons on sales, costs, and yield. By establishing a crop planting profit maximization model and introducing 0-1 variables to record the planting strategy for the next 7 years, we used MATLAB software and the CPLEX solver to solve this single-objective mixed integer programming model. The analysis of the model results indicates that crops exceeding the expected sales volume should be discounted in the current quarter in a timely manner to maximize overall revenue.

Downloads

Download data is not yet available.

References

[1] Zhang Y, Swaminathan J M. Improved crop productivity through optimized planting schedules[J]. Manufacturing & Service Operations Management, 2020, 22(6): 1165-1180.

[2] Guo X X, Li K L, Liu Y Z, et al. Toward the economic-environmental sustainability of smallholder farming systems through judicious management strategies and optimized planting structures[J]. Renewable and Sustainable Energy Reviews, 2022, 165: 112619.

[3] Wolsey L A. Mixed integer programming[J]. Wiley Encyclopedia of Computer Science and Engineering, 2007: 1-10.

[4] Achterberg T, Wunderling R. Mixed integer programming: Analyzing 12 years of progress[M]//Facets of combinatorial optimization: Festschrift for martin grötschel. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013: 449-481.

[5] Hu M, Liu Y, Wang W. Socially beneficial rationality: The value of strategic farmers, social entrepreneurs, and for-profit firms in crop planting decisions[J]. Management Science, 2019, 65(8): 3654-3672.

[6] Anand R, Aggarwal D, Kumar V. A comparative analysis of optimization solvers[J]. Journal of Statistics and Management Systems, 2017, 20(4): 623-635.

Downloads

Published

01-12-2024

Issue

Section

Articles

How to Cite

Guo, C., Zhang, J., & Lan, Y. (2024). Research on Optimal Crop Planting Strategy Based on Mixed-Integer Programming. Academic Journal of Science and Technology, 13(2), 326-331. https://doi.org/10.54097/11hmq212