Research of multi-point infill criteria based on multi-objective optimization front and its application on aerodynamic shape optimization:

摘要

In this article, efficient multi-point infill criteria based on multi-objective optimization front and its applications on analytic functions and airfoil aerodynamic shape optimization are researched. In the expensive optimization, an excellent infill algorithm should meet the demand of local exploitation and global exploration at the same time, which stand for the optimization accuracy and efficiency, respectively. In the proposed infill criteria, the predicted value and a statistic variable are chosen as objectives to implement optimization, and the obtained front stands for the points which strike a balance between local optimization accuracy and global optimization efficiency. The test results of four analytic functions, which has 2 to 20 variables, show that compared with expected improvement algorithm, the proposed multi-point infill algorithm can save 85% iteration times, so the computation efficiency could be increased remarkably. The airfoil optimization design is adopted to test the validity and...