The mathematical model for optimal allocation of farm resources, especially land and water are proposed to optimize the resources that contribute to increase farm revenues. A study is being carried out, to analyze the cropping practice adopted by growers, depending on availability and accessibility of resources. Different crop-combinations and cropping patterns are being analyzed in districts of Rajasthan. Rajasthan has arid topography with varying weather conditions. Thus, a diverse crop variety is being cultivated in a region. Being a state with inadequate water resources, the formulated model proposed different crop combinations alternatives. A crop-mix model is developed to reduce the input cost and maximize farm revenues. The Multi-Objective Linear Programming approach is applied to determine the feasibility of decision variables. The model solution lies within the feasible region; hence, it must be in the convex hull of previous year planting decisions. Consequently, the model finds an optimal crop combination to optimize the objective function under prevailing climatic conditions. To avoid the uncertainties involved in sector some of the farm parameters such as climatic and market fluctuations were kept constant. The model solution is achieved by imposing constraints, that limit the decision variables within the feasible range. LINGO 18.0 Software is used to determine the optimal values of the decision variables.
Bhatia, Mahak and Rana, Anil
Integrated Farm Model for Optimal Allocation of Resources- A Linear Programming Approach,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 15,
2, Article 37.
Available at: https://digitalcommons.pvamu.edu/aam/vol15/iss2/37