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

In: Multiple Criteria Decision Making for Sustainable Energy and Transportation Systems

Author

Listed:
  • Mike Preuss

    (TU Dortmund University)

  • Christoph Kausch
  • Claude Bouvy
  • Frank Henrich

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.

Suggested Citation

  • Mike Preuss & Christoph Kausch & Claude Bouvy & Frank Henrich, 2010. "Decision Space Diversity Can Be Essential for Solving Multiobjective Real-World Problems," Lecture Notes in Economics and Mathematical Systems, in: Matthias Ehrgott & Boris Naujoks & Theodor J. Stewart & Jyrki Wallenius (ed.), Multiple Criteria Decision Making for Sustainable Energy and Transportation Systems, pages 367-377, Springer.
    • Handle: RePEc:spr:lnechp:978-3-642-04045-0_31
    DOI: 10.1007/978-3-642-04045-0_31
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