Lagrangian Duality for Multiobjective Programming Problems in Lexicographic Order
This paper deals with a constraint multiobjective programming problem and its dual problem in the lexicographic order. We establish some duality theorems and present several existence results of a Lagrange multiplier and a lexicographic saddle point theorem. Meanwhile, we study the relations between...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/573408 |
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| _version_ | 1832556015557541888 |
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| author | X. F. Hu L. N. Wang |
| author_facet | X. F. Hu L. N. Wang |
| author_sort | X. F. Hu |
| collection | DOAJ |
| description | This paper deals with a constraint multiobjective programming problem and its dual problem in the lexicographic order. We establish some duality theorems and present several existence results of a Lagrange multiplier and a lexicographic saddle point theorem. Meanwhile, we study the relations between the lexicographic saddle point and the lexicographic solution to a multiobjective programming problem. |
| format | Article |
| id | doaj-art-b99f901f812041708250283940de0378 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b99f901f812041708250283940de03782025-02-03T05:46:39ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/573408573408Lagrangian Duality for Multiobjective Programming Problems in Lexicographic OrderX. F. Hu0L. N. Wang1School of Information Engineering, Chongqing City Management Vocational College, Chongqing 401331, ChinaChongqing Water Resources and Electric Engineering College, Chongqing 402160, ChinaThis paper deals with a constraint multiobjective programming problem and its dual problem in the lexicographic order. We establish some duality theorems and present several existence results of a Lagrange multiplier and a lexicographic saddle point theorem. Meanwhile, we study the relations between the lexicographic saddle point and the lexicographic solution to a multiobjective programming problem.http://dx.doi.org/10.1155/2013/573408 |
| spellingShingle | X. F. Hu L. N. Wang Lagrangian Duality for Multiobjective Programming Problems in Lexicographic Order Abstract and Applied Analysis |
| title | Lagrangian Duality for Multiobjective Programming Problems in Lexicographic Order |
| title_full | Lagrangian Duality for Multiobjective Programming Problems in Lexicographic Order |
| title_fullStr | Lagrangian Duality for Multiobjective Programming Problems in Lexicographic Order |
| title_full_unstemmed | Lagrangian Duality for Multiobjective Programming Problems in Lexicographic Order |
| title_short | Lagrangian Duality for Multiobjective Programming Problems in Lexicographic Order |
| title_sort | lagrangian duality for multiobjective programming problems in lexicographic order |
| url | http://dx.doi.org/10.1155/2013/573408 |
| work_keys_str_mv | AT xfhu lagrangiandualityformultiobjectiveprogrammingproblemsinlexicographicorder AT lnwang lagrangiandualityformultiobjectiveprogrammingproblemsinlexicographicorder |