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The use of integer programming in dairy sire selection.

E M Erba1, J G Fadel, T R Famula

  • 1Department of Animal Science, University of California, Davis 95616-8521.

Journal of Dairy Science
|October 1, 1991
PubMed
Summary
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A new sire selection program, IPSIRE, outperformed MAXBULL in maximizing milk production and economic value. While IPSIRE provided better results, it required more computational time than MAXBULL.

Area of Science:

  • Animal Science
  • Quantitative Genetics
  • Computer Science

Background:

  • Sire selection is crucial for genetic improvement in livestock.
  • Existing tools like MAXBULL use linear programming for sire selection.
  • Optimality of sire selection methods needs continuous evaluation.

Purpose of the Study:

  • To develop and evaluate an integer programming model (IPSIRE) for sire selection.
  • To compare the performance of IPSIRE against MAXBULL.
  • To assess the impact of selection goals on sire selection outcomes.

Main Methods:

  • Developed IPSIRE using an optimization software package and spreadsheet.
  • Utilized linear programming techniques in MAXBULL.
  • Compared both programs using small and large datasets with varied selection goals (PD fat percentage, PD type, price paid), maximizing PD milk.

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Main Results:

  • IPSIRE yielded higher average PD dollars and PD milk compared to MAXBULL on both small and large datasets.
  • Sire averages for PD type, PD fat percentage, and price paid were similar between programs.
  • Goal for price paid significantly impacted realized PD milk, while PD type had minimal influence.

Conclusions:

  • IPSIRE offers a more optimal solution for sire selection compared to MAXBULL, particularly for maximizing economic value and milk production.
  • The choice of selection goals, especially price paid, critically influences the outcome of sire selection.
  • IPSIRE's computational time is longer than MAXBULL's, representing a trade-off between solution optimality and efficiency.