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Annals of Operations Research

, Volume 147, Issue 1, pp 255–267 | Cite as

Stability and accuracy functions in multicriteria linear combinatorial optimization problems

  • Marek Libura
  • Yury NikulinEmail author
Article

Abstract

We consider a vector linear combinatorial optimization problem in which initial coefficients of objective functions are subject to perturbations. For Pareto and lexicographic principles of efficiency we introduce appropriate measures of the quality of a given feasible solution. These measures correspond to so-called stability and accuracy functions defined earlier for scalar optimization problems. Then we study properties of such functions and calculate the maximum norms of perturbations for which an efficient solution preserves the efficiency.

Keywords

Multicriteria optimization Sensitivity analysis Stability and accuracy Pareto and lexicographic optima 

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Copyright information

© Springer Science + Business Media, LLC 2006

Authors and Affiliations

  1. 1.System Research InstitutePolish Academy of SciencesWarsawPoland
  2. 2.Business Administration InstituteChristian-Albrechts-UniversityKielGermany

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