Abstract
Problem statement: The purpose of the study was to find the optimal cropping pattern, in Taybad, which maximizes the net return per water cubic meter and per fertilizer kilogram. Approach: A linear programming model and a fuzzy multi-objective fractional programming model were applied and then these models were compared. Results: Result of study showed ratio of net return into consumption of inputs and Ratio of consumption of inputs into area under cultivation are improved with applying of FMOLFP. Conclusion: FMOLFP models can be used as an effective tool for optimal cropping pattern when in addition to economical goals, environmental goals are noticed. Managers and decision makers can apply these models for optimization of ratio of objectives.
Highlights
Today growing population of world has increased the need for agricultural products and increased the pressure on based resources that is required for those products.With respect to the climatic conditions of the Iran, groundwater is the major source of crop irrigation
Linear Programming (LP) is the oldest technique used in the farm management studies
Haouari and Azaiez[3] represented a mathematical programming for determining crop pattern in dry lands under scarce of water resources
Summary
Today growing population of world has increased the need for agricultural products and increased the pressure on based resources that is required for those products. Maximization of two objectives that are in the form of comparative, can be inconsistent or in a programming problem optimizing the several fractional objectives are considerable simultaneously. There are many published studies which used mathematical programming methodology to determine optimal crop pattern. Singh et al.[11] used a linear programming model to reach optimized crop pattern at various available water levels. Haouari and Azaiez[3] represented a mathematical programming for determining crop pattern in dry lands under scarce of water resources. Biswas and Pal[1] presented how fuzzy goal programming can be efficiently used for modeling and solving land-use planning problems in agricultural systems for optimal production of several seasonal crops in a planning year. This study follows the optimization of crop pattern and allocation of scarce resources such as water in Taybad. Sci., 4 (4): 305-310, 2009 model for determination of optimal cropping pattern in Taybad these models were compared
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