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

作为利用遗传算法开发家畜饲料配方多目标设计模拟器的初步尝试，对家禽饲料、猪饲料和牛饲料进行了同时优化设计。以玉米、高粱、脱脂米糠等为原料，在规定的营养素含量的约束条件下，设计了12种不同的日粮。利用的营养成分的例子是粗蛋白、可消化粗蛋白、总消化营养等。对遗传算法进行了改进，以最小化上述三种饲料配方的原料成本为目标，在三种条件下，对十二种原料的不同饲料配方进行了七次模拟。首先，家禽、猪和牛饲料的每种原材料的体积都充分准备好用于混合设计，没有限制。第二，限制指定原材料（如玉米及╱或玉米蛋白饲料）的总体积及其可用于三种饲料的体积。第三，对特定原料如玉米和/或玉米蛋白饲料的总体积进行了限制，但对三种饲料的可用体积没有限制，由此可见，本研究开发的多目标设计模拟器具有实现三种饲料配方在不同条件下同时优化设计的可行性。

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.