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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| Vydáno v: | Annals of operations research Ročník 147; číslo 1; s. 255 - 267 |
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| Hlavní autoři: | , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
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New York
Springer Nature B.V
01.10.2006
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| 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] |
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| 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 crossref_primary_10_1155_2014_397025 crossref_primary_10_1007_s10559_007_0100_4 crossref_primary_10_1016_j_ejor_2010_06_042 crossref_primary_10_1016_j_ejor_2012_09_018 crossref_primary_10_1007_s10479_012_1203_5 crossref_primary_10_1016_j_ins_2007_11_008 crossref_primary_10_1016_j_omega_2019_102166 |
| 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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| DOI | 10.1007/s10479-006-0071-2 |
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| References | V. Emelichev (71_CR2) 2002; 51 M. Ehrgott (71_CR5) 2000; 22 Y. Sotskov (71_CR17) 1998; 16 V. K. Leontev (71_CR11) 1979; 35 V. Pareto (71_CR15) 1909 M. Libura (71_CR13) 2000; 29 R.E. Steuer (71_CR18) 1986 S. van Hoesel (71_CR9) 1999; 91 N. Chakravarty (71_CR1) 1999; 23 71_CR4 V.K. Leontev (71_CR10) 1975; 15 71_CR7 M. Libura (71_CR14) 1998; 87 71_CR6 M. Libura (71_CR12) 1999; 86 Y. Sotskov (71_CR16) 1995; 58 V. Emelichev (71_CR3) 1995; 4 71_CR8 |
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| Snippet | We consider a vector linear combinatorial optimization problem in which initial coefficients of objective functions are subject to perturbations. For Pareto... |
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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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