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Characterizing generalized trade-off directions

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  • Kaisa Miettinen
  • Marko M. Mäkelä

Abstract

Recently, so-called trade-off directions have been introduced for convex multiobjective optimization problems and, later, they have been generalized for nonconvex problems. The trade-off directions are characterized with the help of tangent and contingent cones. Trade-offs give information about the interrelations of the changes in the objective function values in different Pareto optimal solutions. Such information is valuable when searching for the most preferable Pareto optimal solution. Here, we introduce characterizations of generalized trade-off directions using the tools of nonsmooth analysis. In this way, it is possible to analytically describe concepts that originally were geometrical. Copyright Springer-Verlag Berlin Heidelberg 2003

Suggested Citation

  • Kaisa Miettinen & Marko M. Mäkelä, 2003. "Characterizing generalized trade-off directions," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 57(1), pages 89-100, April.
    • Handle: RePEc:spr:mathme:v:57:y:2003:i:1:p:89-100
    DOI: 10.1007/s001860200247
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    Cited by:

    1. Alexander Engau, 2017. "Proper Efficiency and Tradeoffs in Multiple Criteria and Stochastic Optimization," Mathematics of Operations Research, INFORMS, vol. 42(1), pages 119-134, January.

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