Research on optimization of rural crop planting dtrategies based on dynamic programming and monte carlo simulation

Abstract

In the process of rural economic development, rational planning of crop cultivation is of great significance for its sustainable development. This study focuses on the complex factors faced in crop cultivation, such as the uncertainties in sales volume, per-mu yield, cost and price, as well as the substitutability and complementarity among crops. Firstly, a dynamic programming model combined with a Monte Carlo simulation model is used to dynamically and optimally allocate the cultivation of various crops, with the goal of maximizing the overall rural income. The study finds that reasonably regulating the planting ratio of wheat and corn has a significant effect on improving long-term income, and vegetable crops need to flexibly adjust their planting strategies according to price fluctuations. Secondly, after further considering the substitutability and complementarity among crops, a mixed-integer linear programming model is constructed to optimize the planting strategy, which improves the overall profit. This study provides a scientific strategic basis for rural crop planting planning, helps to optimize the allocation of agricultural resources, and promotes the sustainable development of the rural economy.