+ Site Statistics
+ Search Articles
+ PDF Full Text Service
How our service works
Request PDF Full Text
+ Follow Us
Follow on Facebook
Follow on Twitter
Follow on LinkedIn
+ Subscribe to Site Feeds
Most Shared
PDF Full Text
+ Translate
+ Recently Requested

Multiple-objective (goal) programming model for feed formulation: an example for reducing nutrient variation

Multiple-objective (goal) programming model for feed formulation: an example for reducing nutrient variation

Poultry Science 81(2): 182-192

A multiple-objective programming (MOP) model was applied to the feed formulation process with the objectives of minimizing nutrient variance and minimizing ration cost. A MOP model was constructed for a broiler grower ration (3 to 6 wk) and formulated with a Microsoft Excel solver. Twenty-one ingredients with 17 nutrients were included in the formulation. Amino acids were based on digestible values. The following objectives were considered as soft constraints: (1) meeting the nutrient requirements; (2) meeting the ingredient restrictions; and (3) meeting nutrient ratios, including calcium to phosphorus and the relationship of amino acids to lysine (ideal amino acid ratios). Hard constraints considered were (1) a least-cost ration and (2) minimal nutrient variances for protein, methionine, and lysine. It was found that (1) the MOP model was more flexible in providing a compromise solution than a traditional feed formulation with a linear program, (2) the MOP model was able to handle several conflicting objectives simultaneously as compared to the traditional linear programming approach that could handle only one objective, and (3) the MOP model gave the best compromise solution that would satisfy multiple decision makers when trade-offs were made between the ration cost and minimum variances of protein and methionine. The MOP model is an efficient tool to assist the decision-making process through solving a series of linear/nonlinear programs and by interacting with decision-makers.

Please choose payment method:

(PDF emailed within 0-6 h: $19.90)

Accession: 003855858

Download citation: RISBibTeXText

PMID: 11873826

DOI: 10.1093/ps/81.2.182

Related references

Multiple objective programming model for feed formulation. Poultry Science 78(Suppl. 1): 76, 1999

Goal--multiple objective programming. 1976

Multiple objective decision making: generating techniques or goal programming?. Journal Northeastern Agricultural Economics Council 9(1): 1-6, 1980

An application of multiple objective linear programming to the formulation of management plans for multiple-use public lands. Dissertation Abstracts International, A 38(12): p. 7434, 1978

Multiple-objective farm planning for food crop farmers: A goal programming approach. Discovery & Innovation 11(1-2): 91-103, 1999

A multi-objective programming approach to feed ration balancing and nutrient management. Agricultural Systems 67(3): 201-215, 2001

A comparison of generating techniques and goal programming for public investment, multiple objective decision making. American journal of agricultural economics 62(1): 66-74, 1980

An operational approach to multiple objective decision making for public water resources projects using integer goal programming. American journal of agricultural economics: 59(1) 198-203, 1977

A comparison of objective function structures used in a recursive goal programming-simulations model of farm growth. Southern journal of agricultural economics Southern Agricultural Economics Association 14(2): 9-16, 1982

Reducing phosphorus concentration in pig diets by adding an environmental objective to the traditional feed formulation algorithm. Livestock Science 111(1-2): 16-27, 2007

Fuzzy Goal Programming Approach to Multi Objective Quadratic Programming Problem. Proceedings of the National Academy of Sciences, India Section A: Physical Sciences 82(4): 317-322, 2012

Linear programming and social welfare: model formulation and objective function alternatives. Canadian journal of agricultural economics 26(3): 53-60, 1978

Multiple-objective programming to reduce ration cost and nutrient excretion. Journal of Dairy Science 84(Suppl. 1): 265, 2001

Multiple objective fractional programming and livestock ration formulation: a case study for dairy cow diets in Spain. Agricultural Systems 41(3): 321-334, 1993

A spreadsheet programming model for linear and stochastic feed formulation problems. Proceedings of the Nutrition Society 57(4): 163A, 1998