Journal of Optimization Theory and Applications

, Volume 126, Issue 3, pp 473–501

Approximation Methods in Multiobjective Programming

  • S. Ruzika
  • M. M. Wiecek
Survey Paper

DOI: 10.1007/s10957-005-5494-4

Cite this article as:
Ruzika, S. & Wiecek, M.M. J Optim Theory Appl (2005) 126: 473. doi:10.1007/s10957-005-5494-4

Abstract

Approaches to approximate the efficient set and Pareto set of multiobjective programs are reviewed. Special attention is given to approximating structures, methods generating Pareto points, and approximation quality. The survey covers more than 50 articles published since 1975.

Keywords

Multiobjective programmingapproximationefficient setsPareto setsnondominated sets.

Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • S. Ruzika
    • 1
  • M. M. Wiecek
    • 2
  1. 1.Diplommathematiker, Fachbereich MathematikUniversität KaiserslauternKaiserslauternGermany
  2. 2.Professor, Department of Mathematical SciencesClemson UniversityClemsonUSA