Adaptive weightedsum method for biobjective （自适应biobjective weightedsum方法）.pdf

Research Paper Struct Multidisc Optim 29, 149–158 (2005) DOI 10.1007/s00158-004-0465-1 Adaptive weighted-sum method for bi-objective optimization: Pareto front generation I.Y. Kim and O.L. de Weck Abstract This paper presents a new method that ef- 1 fectively determines a Pareto front for bi-objective op- Introduction timization with potential application to multiple objec- tives. A traditional method for multiobjective optimiza- This section provides a brief review of multi-objective tion is the weighted-sum method, which seeks Pareto optimization and discusses the shortcomings of the optimal solutions one by one by systematically chang- weighted-sum method which is still – and may always ing the weights among the objective functions. Previ- remain – the most frequently used technique. ous research has shown that this method often produces poorly distributed solutions along a Pareto front, and that it does not find Pareto optimal solutions in non- 1.1 convex regions. The proposed adaptive weighted sum Multiobjective optimization method focuses on unexplored regions by changing the weights adaptively rather than by using a priori weight Engineering design often deals with multiple, possibly selections and by specifying additional inequality con- conflicting, objective functions or design criteria. For ex- straints. It is demonstrated that