Article ID: | iaor20061839 |
Country: | Germany |
Volume: | 31 |
Issue: | 2 |
Start Page Number: | 105 |
End Page Number: | 116 |
Publication Date: | Feb 2006 |
Journal: | Structural and Multidisciplinary Optimization |
Authors: | Kim I.Y., Weck O.L. de |
Keywords: | pareto-optimality |
This paper presents an adaptive weighted sum (AWS) method for multiobjective optimization problems. The method extends the previously biobjective AWS method to problems with more than two objective functions. In the first phase, the usual weighted sum method is performed to approximate the Pareto surface quickly, and a mesh of Pareto front patches is identified. Each Pareto front patch is then refined by imposing additional equality constraints that connect the pseudonadir point and the expected Pareto optimal solutions on a piecewise planar hypersurface in the