In Search of Proper Pareto-optimal Solutions Using Multi-objective Evolutionary Algorithms

  • Authors:
  • Pradyumn Kumar Shukla

  • Affiliations:
  • Institute of Numerical Mathematics, Department of Mathematics, Technische Universität Dresden, Dresden PIN 01069, Germany

  • Venue:
  • ICCS '07 Proceedings of the 7th international conference on Computational Science, Part IV: ICCS 2007
  • Year:
  • 2007

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Abstract

There are multiple solution concepts in multi-objective optimization among which a decision maker has to select some good solutions usually which satisfy some trade-off criteria's. The need for potentially good solutions has always been one of the primary aims in multi-objective optimization. A complete representation of all these solutions is only possible with population based approaches like multi-objective evolutionary algorithms since then trade-off's can be calculated at each generation from the population members. Thus this paper proposes the use of multi-objective evolutionary algorithms for obtaining a complete representation of these good solutions. Theoretical results show how one can integrate search procedure for obtaining these solutions in population based evolutionary algorithms and some convergence results. Finally simulation results are presented on a number of test problems.