Characterizing generalized trade-off directions

Kaisa Miettinen and Marko M. Mäkelä

Mathematical Methods of Operations Research, 2003, vol. 57, issue 1, 89-100

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

Keywords: Key words: Pareto optimality; proper efficiency; multiple criteria; trade-off information; contingent cone; nonsmooth analysis (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1007/s001860200247

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