Nonuniform covering method as applied to multicriteria optimization problems with guaranteed accuracy

Authors:
Yu. G. Evtushenko;M. A. Posypkin
Affiliations:
Dorodnicyn Computing Center, Russian Academy of Sciences, Moscow, Russia 119333;Dorodnicyn Computing Center, Russian Academy of Sciences, Moscow, Russia 119333
Venue:
Computational Mathematics and Mathematical Physics
Year:
2013

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Abstract

The nonuniform covering method is applied to multicriteria optimization problems. The 驴-Pareto set is defined, and its properties are examined. An algorithm for constructing an 驴-Pareto set with guaranteed accuracy 驴 is described. The efficiency of implementing this approach is discussed, and numerical results are presented.