determining effective structures on herd replacement rate and cow culling by optimizing the production system for mastitis and abortion

One of the optimization methods is dynamic programming. this study aimed to determine the effective structures on the rate of herd replacement and cow removal by optimizing the production system for mastitis and abortion. to optimize the production system for removing and keeping dairy cows from the statistics of incomes and expenses of 2023, the statistics related to mastitis and abortion associated with some industrial cattle farms in ardabil city were used. the economic dairy farm system was divided into income and cost components. the matlab and an algorithm were designed to simulate the bio-economic system of a dairy cow herd. the abortion and mastitis in the low production group, the net present value increased up to the fourth abdomen, and then it started to decrease. in the medium and high production groups, the net present value for both abortion and mastitis has an increasing trend until the third abdomen, starts a decreasing trend. likewise, keeping animals in the medium production group up to the fourth stomach and in the high production group up to the fifth stomach has an economic justification. the future value increases with increasıng in cow age and the lactation period. mastitis and abortion can significantly reduce income and destroy the producer’s capital. the optimum decision-making was concluded to keep livestock or remove it and estimate the financial loss of abortion and mastitis will improve reproduction and ultimately make the herd more profitable.