The Quasi-Reasonable Goals Method for Integer Multicriteria Optimization Problems

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Authors:

Lotov A.V., Pospelov A.I.

Journal:

Doklady Mathematics, 2007, Volume 75, Issue 3, pp 460-462

Abstract:

The reasonable goals method (RGM) as proposed in is intended for decision support in multicriteria problems with a finite number (at most 10^6) of feasible decisions (alternatives) that are given explicitly. In this paper, the ideas behind RGM are extended to certain integer multicriteria optimization problems in which feasible alternatives are given implicitly and their number reaches 10^{10}--10^{15}.

Keywords: Multi-objective optimization, Discrete optimization, Approximation, Iterative methods, Branch-and-bound method

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