Development of Multiobjective Design Simulator for Livestock Feed Formulation Using a GA

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As a preliminary step to develop a multiobjective design simulator for livestock feed formulations using a genetic algorithm, simultaneous optimum design of three kinds of feed, such as poultry feed, swine feed and cattle feed were tried. Twelve different rations of feed ingredients such as corn, grain sorghum, defatted rice bran, and others were designed under constraint conditions of specified nutrient contents. Examples of nutrient contents utilized were crude protein, digestible crude protein, total digestive nutrition and others. Genetic algorithm has been improved upon to minimize the raw material cost of three feed formulations mentioned above.Seven simulations were carried out for different feed formulation using twelve raw materials under three conditions. Firstly, the volume of each raw material for poultry, swine and cattle feed was sufficiently prepared for mix design without restriction. Secondly, the total volume of specified raw materials such as corn and/or corn gluten feed and their usable volumes for three types of feed were restricted. Thirdly, the total volume of specified raw materials such as corn and/or corn gluten feed was restricted but their usable volumes for three types of feed were not restricted.Based on this study, it was cleared that the multiobjective design simulator which was developed in this research has the feasibility to attain the simultaneous optimum design of three kinds of feed formulation under various conditions.