A1 Refereed original research article in a scientific journal
Stability and accuracy functions in multicriteria linear combinatorial optimization problems
Authors: Libura M, Nikulin Y
Publisher: SPRINGER
Publication year: 2006
Journal: Annals of Operations Research
Journal name in source: ANNALS OF OPERATIONS RESEARCH
Journal acronym: ANN OPER RES
Volume: 147
Issue: 1
First page : 255
Last page: 267
Number of pages: 13
ISSN: 0254-5330
DOI: https://doi.org/10.1007/s10479-006-0071-2
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.