Profit Optimization of Farmers in Different Locations Using Mixed Integer Linear Programming in Bangladesh

This study, we formulate a mixed integer linear programming (MILP) model for sustainable optimization of agricultural production. The model is a mathematical programming model, based on multicriteria techniques, and can be used as a tool for the analysis and simulation of agricultural production plans, as well as for the study of impacts of the various policies in agriculture. The model can achieve the optimum production plan of an agricultural region combining in one utility function different conflicting criteria as the maximization of gross margin and the minimization of fertilizers used, under a set of constraints for land, labor, fertilizer, water, available capital and common agricultural policy. The formulated MILP has solved by branch and bound algorithm-using AMPL. In order to validate the model we have made a question survey on seven locations of three districts in Bangladesh. From the survey, it has observed that the selling prices of various agriculture products fluctuate depending on the natural calamities. In among locations, the optimum production plan achieves greater gross return, less fertilizers, labor and irrigated water use than the existent production plan. This study is to optimize the profit of farmers by using MILP model. Also this study completely wishes to focus on the poverty and economic development of Bangladesh.