Article ID: | iaor20071994 |
Country: | Germany |
Volume: | 147 |
Issue: | 1 |
Start Page Number: | 255 |
End Page Number: | 267 |
Publication Date: | Oct 2006 |
Journal: | Annals of Operations Research |
Authors: | Libura Marek, Nikulin Yury |
Keywords: | programming: multiple criteria |
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.