A Decomposition-Based Stochastic Multilevel Binary Optimization Model for Agricultural Land Allocation Under Uncertainty

Fan Wang, Youxi Luo (), Wenkai Zhang and Yanshu Yu
Additional contact information
Fan Wang: School of Science, Hubei University of Technology, Wuhan 430068, China
Youxi Luo: School of Science, Hubei University of Technology, Wuhan 430068, China
Wenkai Zhang: School of Mechanical Engineering, Hubei University of Technology, Wuhan 430068, China
Yanshu Yu: School of Computer Science, Hubei University of Technology, Wuhan 430068, China

Mathematics, 2025, vol. 13, issue 7, 1-29

Abstract: Crop cultivation planning is vital for optimizing agricultural productivity and sustainable land use under farming uncertainties. This study developed a decomposition-based stochastic multilevel binary optimization model for agricultural plot management. Using land and crops as the division standard, the complex problem of agricultural land management was broken down into manageable sub-modules, which were efficiently solved using a greedy algorithm. In order to verify the actual effectiveness of the model, this study conducted an empirical analysis based on the production practice scenario in the mountainous areas of North China from 2023 to 2026. The performance of the model was verified through dimensions such as agricultural income accounting, the assessment of planting dispersion, and the optimization of legume crop rotation patterns. The stability of the system was also tested using sensitivity tests for multiple variables. To further evaluate the performance of the model, we compared it with two single-factor benchmark models that only considered uncertainty or only considered the land constraints. The results showed that in the multi-year and multi-income scenarios, our comprehensive model was significantly better than the two benchmark models in terms of optimization performance, which proves the necessity of considering land constraints and uncertainty at the same time.

Keywords: agricultural land allocation; uncertainty; decomposition-based model; stochastic multilevel binary optimization; crop planning decisions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/13/7/1213/pdf (application/pdf)
https://www.mdpi.com/2227-7390/13/7/1213/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:13:y:2025:i:7:p:1213-:d:1629756

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().