A1 Refereed original research article in a scientific journal

Stability and accuracy functions in multicriteria linear combinatorial optimization problems




AuthorsLibura M, Nikulin Y

PublisherSPRINGER

Publication year2006

JournalAnnals of Operations Research

Journal name in sourceANNALS OF OPERATIONS RESEARCH

Journal acronymANN OPER RES

Volume147

Issue1

First page 255

Last page267

Number of pages13

ISSN0254-5330

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


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.



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