Trade-Off Analysis Tool with Applicability Study for Interactive Nonlinear Multiobjective Optimization
Petri Eskelinen, Kaisa Miettinen · Aaltodoc (Aalto University) · 2008
When solving multiobjective optimization problems with interactive methods, a decision maker (DM) directs the search for the most preferred Pareto optimal solution with his/her preferences.We propose a tool that can be used to support the DM.With this tool, the DM can conveniently learn about local trade-offs between the conflicting objectives and judge whether they are worthwhile.The tool is based on an idea where the DM is able to vary a selected Pareto optimal objective vector.The varied vector is treated as a reference point which is then projected to the tangent hyperplane of the Pareto optimal set at the Pareto optimal solution selected.This information can be used to reflect what kind of Pareto optimal solutions and trade-offs are available in a local neighborhood of the solution.This tool is especially useful when trade-off analysis must be carried out fast and without increasing computation workload.We also propose a applicability study method for the trade-off analysis tool proposed and demonstrate the usage of the ideas through an academic example problem.