Synthesis of numerical methods for Pareto set approximation based on a universal procedure

Ya. I. Rabinovich

Dorodnicyn Computing Center, Federal Research Center "Computer Science and Control", Russian Academy of Sciences, Moscow, 119333 Russia

Abstract: A universal computational procedure is used to construct numerical methods for Pareto set approximation. The numerical methods are developed relying on the assumptions necessary for proving the convergence of the universal procedure to the Pareto set.

Key words: multiobjective optimization, Pareto set, numerical methods, universal procedure.

UDC: 519.6:519.8

Received: 13.06.2019
Revised: 07.10.2019
Accepted: 18.11.2019

DOI: 10.31857/S0044466920030151

 English version: Computational Mathematics and Mathematical Physics, 2020, 60:3, 528–539

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