Abstract
A model for the planification of agricultural production is proposed in the Alto Rio Lerma Irrigation District (ARLID) located in the state of Guanajuato in Mexico. The ARLID have a limited water supply from ground and surface sources, as well as area restrictions. In addition, producer faces the problem of high price uncertainty, which affect seriously the amount of expected profit in each season. Therefore, farmers need to distribute their available land between crops in a fuzzy environment. A multiobjective linear programming model in a fuzzy environment (MLFM) is proposed to approach the problem described above. Ten price scenarios are considered according to the records of the last 10 years, these prices were given in the same scale base 2009. In the results all available area, 112,000 ha, was used. Each price scenario generate one objective to be maximize, some price scenarios generate high profits, while others low profits. The results obtained in the MLFM produce the best expected benefit, 4,820 million of pesos, when prices behave as random variables. For Winter season land is distributed mainly between red tomato and wheat, while in the Spring season between corn and wheat. Sorghum was the only second crop to be sown. The model applied in this particular problem of agricultural planification, show the best land use distribution when market fluctuations are expected.
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Salazar, M.R., Fitz, R.E., Pérez, S.F. (2017). Agricultural Production Planning in a Fuzzy Environment. In: Matsumoto, A. (eds) Optimization and Dynamics with Their Applications. Springer, Singapore. https://doi.org/10.1007/978-981-10-4214-0_13
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DOI: https://doi.org/10.1007/978-981-10-4214-0_13
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