Mlesd Weighted Sum(WS)Approach 50.1 Min J2) MO ∑ miss this i =1 S concave region convert back to sop LP in J-space easy to implement > Pareto scaling important front weighting determines 0 Which point along pf is J-hyperplane utopia found misses concave PF Max(J1) o Massachusetts Institute of Technology -Prof. de Weck and Prof Willcox Engineering Systems Division and Dept of Aeronautics and Astronautics3 © Massachusetts Institute of Technology - Prof. de Weck and Prof. Willcox Engineering Systems Division and Dept. of Aeronautics and Astronautics Weighted Sum (WS) Approach Weighted Sum (WS) Approach 1 z i MO i i i w J J = sf = ¦ utopia Max( J 1 ) Min( J 2 ) miss this concave region Pareto front • convert back to SOP • LP in J-space • easy to implement • scaling important ! • weighting determines which point along PF is found • misses concave PF w 2>w1 w1>w 2 J-hyperplane J*i J*i+1