A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä

Stability and accuracy functions in multicriteria linear combinatorial optimization problems




TekijätLibura M, Nikulin Y

KustantajaSPRINGER

Julkaisuvuosi2006

JournalAnnals of Operations Research

Tietokannassa oleva lehden nimiANNALS OF OPERATIONS RESEARCH

Lehden akronyymiANN OPER RES

Vuosikerta147

Numero1

Aloitussivu255

Lopetussivu267

Sivujen määrä13

ISSN0254-5330

DOIhttps://doi.org/10.1007/s10479-006-0071-2


Tiivistelmä

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.



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