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April Frye White MS Thesis 2020.pdf (807.62 KB)

ETD Abstract Container

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A Goal Programming Approach to Simultaneously Minimize Whole Farm Ration Cost and Phosphorus Balance

White, April Frye
http://rave.ohiolink.edu/etdc/view?acc_num=osu1593622413223357

Abstract Details

2020, Master of Science, Ohio State University, Animal Sciences.
Careful management of P balance on farms is multi-faceted and necessary to reduce the environmental burden caused by P pollution. Dairy operations are uniquely poised to closely control dietary inputs as well as grow a portion of feed dietary inputs, offering opportunities for efficiency in P cycling through the operation. We developed a mathematical programming model capable of simultaneously optimizing diets with different weights for least cost and least on farm P-balance. Using OpenSolver (v.2.9.0, opensolver.org), three objective functions were individually optimized to: i) minimize the diet cost; ii) minimize the excess of P balance in the system, computed as the difference between P excreted and P uptake by forage production on-farm; and iii) minimize the weighted deviations from the values of the two previously optimized objective functions. The trade-offs between the two goals set by a weighting scheme allowed the identification of a set of diets that all met the NRC (2001) requirements while having different costs and determining different P balances on the farm. Initial reductions in P were generally accompanied by increased forage fed, increased on-farm corn silage production, and decreased legume hay production. These optimizations suggest a potential use of weighted goal programming as a technique to identify diets that allow a reduction in on-farm P balance with limited effects on whole farm feed cost.
Luis Moraes (Advisor)
William Weiss (Committee Member)
Maurice Eastridge (Committee Member)
90 p.
Animal Sciences
linear programming; goal programming; dairy cattle; phosphorus;

Recommended Citations

Citations

  • White, A. F. (2020). A Goal Programming Approach to Simultaneously Minimize Whole Farm Ration Cost and Phosphorus Balance [Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1593622413223357

    APA Style (7th edition)

  • White, April. A Goal Programming Approach to Simultaneously Minimize Whole Farm Ration Cost and Phosphorus Balance. 2020. Ohio State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1593622413223357.

    MLA Style (8th edition)

  • White, April. "A Goal Programming Approach to Simultaneously Minimize Whole Farm Ration Cost and Phosphorus Balance." Master's thesis, Ohio State University, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=osu1593622413223357

    Chicago Manual of Style (17th edition)

osu1593622413223357
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This open access ETD is published by The Ohio State University and OhioLINK.
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