Pareto set and EMOA behavior for simple multimodal multiobjective functions

Authors:
Mike Preuss;Boris Naujoks;Günter Rudolph
Affiliations:
Lehrstuhl für Algorithm Engineering, Universität Dortmund, Dortmund, Germany;Lehrstuhl für Algorithm Engineering, Universität Dortmund, Dortmund, Germany;Lehrstuhl für Algorithm Engineering, Universität Dortmund, Dortmund, Germany
Venue:
PPSN'06 Proceedings of the 9th international conference on Parallel Problem Solving from Nature
Year:
2006

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Abstract

Recent research on evolutionary multiobjective optimization has mainly focused on Pareto fronts. However, we state that proper behavior of the utilized algorithms in decision/search space is necessary for obtaining good results if multimodal objective functions are concerned. Therefore, it makes sense to observe the development of Pareto sets as well. We do so on a simple, configurable problem, and detect interesting interactions between induced changes to the Pareto set and the ability of three optimization algorithms to keep track of Pareto fronts.