Computer Science
8 years ago

Weighted sums fail to evenly distribute Pareto points in optimization problems.

Structural Optimization
A closer look at drawbacks of minimizing weighted sums of objectives for Pareto set generation in multicriteria optimization problems
Indraneel Das, J. E. Dennis

Paper Summary

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The article explains why minimizing weighted sums of objectives in multicriteria optimization may not always give a good spread of solutions. When the Pareto curve is not convex, this method may miss some important points. Even for convex curves, evenly distributed weights don't always lead to evenly distributed solutions. The slope of the Pareto curve affects how weights should be distributed for a balanced set of solutions. The researchers provide examples to illustrate these points.