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Optimization problems with flexible objectives: A general modeling approach and applications

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  • Nickel, Stefan
  • Velten, Sebastian

Abstract

We study optimization problems extended by a flexible objective, namely the Ordered Median Function (OMF). The OMF incorporates a large number of objectives into one function. Concrete objectives are given by choosing values for a parameter vector. Using optimization problems extended by the OMF, only one model, solution algorithm and implementation is necessary to analyze many concrete objectives.

Suggested Citation

  • Nickel, Stefan & Velten, Sebastian, 2017. "Optimization problems with flexible objectives: A general modeling approach and applications," European Journal of Operational Research, Elsevier, vol. 258(1), pages 79-88.
    • Handle: RePEc:eee:ejores:v:258:y:2017:i:1:p:79-88
    DOI: 10.1016/j.ejor.2016.08.045
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    1. Marín, Alfredo & Ponce, Diego & Puerto, Justo, 2020. "A fresh view on the Discrete Ordered Median Problem based on partial monotonicity," European Journal of Operational Research, Elsevier, vol. 286(3), pages 839-848.

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