综合目标函数的构造对多目标优化过程的影响

摘要

讨论了综合目标函数的线性加权法、几何平均法与平方和加权法对多目标优化过程的影响，并指出几何平均法和平方和加权法当分别用于极大化和极小化时能够适当抑制各分目标之间的等价交换，且其等值线的弯曲方向对优化过程具有导向作用。将几何平均法与平方和加权法应用于叉车转向机构优化设计中，取得了很好的效果。%The influences of three methods on the optimization of multi-objective function are introduced.The geo-metrical average of sub-functions and the squared sum of sub-functions with weights are more suitable in the maxi-mization and minimization respectively than that of linear sum of sub-functions with weights.The former two ways to build the multi-objective function will restrain the exchange among sub-functions to some extent during the process of optimization,and the bending direction of equivalent line of multi-objective function will guide the optimization process.The geometrical average of sub-functions and the squared sum of sub-functions with rights were applied to optimize the design of forklift truck steering mechanism separately and achieved ideal results.