Stability and accuracy functions in multicriteria linear combinatorial optimization problems

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 corres...

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Veröffentlicht in:Annals of operations research Jg. 147; H. 1; S. 255 - 267
Hauptverfasser: Libura, Marek, Nikulin, Yury
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York Springer Nature B.V 01.10.2006
Schlagworte:
Accuracy
Hierarchies
Integer programming
Linear programming
Mathematical programming
Operations research
Optimization
Pareto optimum
Sensitivity analysis
Studies
ISSN:0254-5330, 1572-9338
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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. [PUBLICATION ABSTRACT]
AbstractList 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. [PUBLICATION ABSTRACT]
Author Nikulin, Yury
Libura, Marek
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CitedBy_id crossref_primary_10_1007_s10479_008_0471_6
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Cites_doi 10.1016/0166-218X(93)E0126-J
10.1016/S0166-218X(98)00055-9
10.1007/978-1-4757-2807-1_4
10.1023/A:1018991826728
10.1007/978-1-4757-2876-7_4
10.1016/S0167-6377(98)00031-5
10.1080/0233193021000030760
10.1016/S0166-218X(98)00151-6
10.1007/s002910000046
10.1007/BF02022039
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SubjectTerms Accuracy
Hierarchies
Integer programming
Linear programming
Mathematical programming
Operations research
Optimization
Pareto optimum
Sensitivity analysis
Studies
Title Stability and accuracy functions in multicriteria linear combinatorial optimization problems
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