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Decision Space Diversity Can Be Essential for Solving Multiobjective Real-World Problems

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Multiple Criteria Decision Making for Sustainable Energy and Transportation Systems

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 634))

Abstract

It has recently been argued that standard multiobjective algorithms like NSGA-II, SPEA2, and SMS-EMOA, are not well suited for solving problems with symmetries and/or multimodal single objective functions due to their concentration onto one Pareto set part. We here deliver a real-world application that shows such properties and is thus hard to solve by standard approaches. As direct tuning of the algorithms is too costly, we attempt it via constructive modeling (algorithm-based validation), but succeed only partly in improving performance, which emphasizes the need to integrate special operators for boosting decision space diversity in future algorithms.

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Acknowledgements

The research leading to this paper was supported by the DFG (Deutsche Forschungsgemeinschaft) by project grant no. 252441.

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Correspondence to Mike Preuss .

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Preuss, M., Kausch, C., Bouvy, C., Henrich, F. (2010). Decision Space Diversity Can Be Essential for Solving Multiobjective Real-World Problems. In: Ehrgott, M., Naujoks, B., Stewart, T., Wallenius, J. (eds) Multiple Criteria Decision Making for Sustainable Energy and Transportation Systems. Lecture Notes in Economics and Mathematical Systems, vol 634. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04045-0_31

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