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Reference points and approximation algorithms in multicriteria discrete optimization

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  • Büsing, Christina
  • Goetzmann, Kai-Simon
  • Matuschke, Jannik
  • Stiller, Sebastian

Abstract

Mathematical research on multicriteria optimization problems predominantly revolves around the set of Pareto optimal solutions. In practice, on the other hand, methods that output a single solution are more widespread. Reference point methods are a successful example of this approach and are widely used in real-world multicriteria optimization. A reference point solution is the solution closest to a given reference point in the objective space.

Suggested Citation

  • Büsing, Christina & Goetzmann, Kai-Simon & Matuschke, Jannik & Stiller, Sebastian, 2017. "Reference points and approximation algorithms in multicriteria discrete optimization," European Journal of Operational Research, Elsevier, vol. 260(3), pages 829-840.
    • Handle: RePEc:eee:ejores:v:260:y:2017:i:3:p:829-840
    DOI: 10.1016/j.ejor.2016.05.027
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    References listed on IDEAS

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