Scalarizations for adaptively solving multi-objective optimization problems |
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Authors: | Gabriele Eichfelder |
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Institution: | 1.Institute of Applied Mathematics,University of Erlangen-Nürnberg,Erlangen,Germany |
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Abstract: | In this paper several parameter dependent scalarization approaches for solving nonlinear multi-objective optimization problems
are discussed. It is shown that they can be considered as special cases of a scalarization problem by Pascoletti and Serafini
(or a modification of this problem).
Based on these connections theoretical results as well as a new algorithm for adaptively controlling the choice of the parameters
for generating almost equidistant approximations of the efficient set, lately developed for the Pascoletti-Serafini scalarization,
can be applied to these problems. For instance for such well-known scalarizations as the ε-constraint or the normal boundary intersection problem algorithms for adaptively generating high quality approximations are
derived. |
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Keywords: | |
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