A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Stability and accuracy functions in multicriteria linear combinatorial optimization problems
Tekijät: Libura M, Nikulin Y
Kustantaja: SPRINGER
Julkaisuvuosi: 2006
Journal: Annals of Operations Research
Tietokannassa oleva lehden nimi: ANNALS OF OPERATIONS RESEARCH
Lehden akronyymi: ANN OPER RES
Vuosikerta: 147
Numero: 1
Aloitussivu: 255
Lopetussivu: 267
Sivujen määrä: 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.