The Application of Fuzzy Models in Dairy Cow Ration Formulation: An Economic-Nutritional Analysis for Herds
الموضوعات :A. Sargazi 1 , M. Yousefellahi 2
1 - Department of Agricultural Economics, Faculty of Agriculture, University of Zabol, Zabol, Iran
2 - Department of Agricultural Economics, Faculty of Agriculture, University of Zabol, Zabol, Iran
الکلمات المفتاحية: dairy cows, multi-criteria decision-making, ration,
ملخص المقالة :
In milk production, the most significant portion of costs is related to animal feed. Therefore, to reduce the final price of milk, it is essential to use rations with the lowest possible cost. In this study, to formulate an optimal ration based on 2024 data from Sistan dairy farms, three methods were employed: simple linear programming, goal programming, and fuzzy-goal programming. The model was optimized for four differ-ent groups: fresh cows, low-yielding cows, mid-yielding cows, and super-yield cows. Additionally, to achieve a flexible ration using the fuzzy-goal method, an initial optimal program was developed using de-terministic linear programming to minimize cost. Then, by adding two more objective functions (maximiz-ing nutrients and minimizing water consumption), the goal programming model was obtained. The results showed that, considering the flexibility in the fuzzy-goal method, in most groups, the lower cost led to the selection of this method over linear programming as the optimal ration. Furthermore, the results indicated that the fuzzy model, by reducing costs by 8% compared to conventional rations, while maintaining energy-protein balance, helps prevent disorders such as ketosis and acidosis. In contrast, the linear model, with a 6% cost reduction, reduces protein to dangerous levels (down by 14%), and the goal model, with an 8-17% cost increase, is only justified for specific animals. The findings confirm the efficiency of the fuzzy model in simultaneously managing costs (average 1280000 IRR/head/day) and herd health. It is recommended that dairy farms combine this model with grouping cows based on milk production to increase profitability by up to 18%.
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