混合变量多目标优化设计的Pareto遗传算法实现

提出了一种用Ｐａｒｅｔｏ遗传算法来实施的带约束的多目标混合变量的优化方法。得到Ｐａｒｅｔｏ最优解集，决策者从中可选出满足设计需要的解。该算法包括６个基本算子：选择、变异、交叉、离散变量圆整算子、小生境、Ｐａｒｅｔｏ集合过滤器。建立了用于多目标优化的适应度函数，使用模糊罚函数法法将带约束的多目标优化问题转换为无约束优化问题，同时提出了处理混合变量多目标优化问题中离散变量的方法。最后用算例说明了该方法

Multiobjective Optimization Design with Mixed-Discrete Variables in Mechanical Engineering via Pareto Genetic Algorithm

A Pareto GA method to deal with multiobjective optimization problem was presented integrating Pareto GA and fuzzy penalty function method.By this method,a Pareto optimal set can been got,and from it the decision maker can choose a point which is most suitable for the problem.There are six operators in Pareto GA,which are selection,crossover,mutation,mixed- discrete variables rounding operator,Niche, Pareto set filter.Both continuous and discrete variables can be dealt with using this way.An example proved the efficiency and advantage of this method.