Homotopy Interior-Point Method for a General Multiobjective Programming Problem
We present a combined homotopy interior-point method for a general multiobjective programming problem. For solving the KKT points of the multiobjective programming problem, the homotopy equation is constructed. We prove the existence and convergence of a smooth homotopy path from almost any initial...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/497345 |
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| _version_ | 1850160222843174912 |
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| author | X. Zhao S. G. Zhang Q. H. Liu |
| author_facet | X. Zhao S. G. Zhang Q. H. Liu |
| author_sort | X. Zhao |
| collection | DOAJ |
| description | We present a combined homotopy interior-point method for a general multiobjective
programming problem. For solving the KKT points of the multiobjective programming problem,
the homotopy equation is constructed. We prove the existence and convergence of a smooth homotopy path
from almost any initial interior point to a solution of the KKT system under some basic assumptions. |
| format | Article |
| id | doaj-art-b4147f9bceb447d5a0bb585bf44d044a |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-b4147f9bceb447d5a0bb585bf44d044a2025-08-20T02:23:12ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/497345497345Homotopy Interior-Point Method for a General Multiobjective Programming ProblemX. Zhao0S. G. Zhang1Q. H. Liu2Department of Mathematics, Jilin University, Changchun 130001, ChinaDepartment of Mathematics, Jilin University, Changchun 130001, ChinaInstitute of Applied Mathematics, Changchun University of Technology, Changchun 130012, ChinaWe present a combined homotopy interior-point method for a general multiobjective programming problem. For solving the KKT points of the multiobjective programming problem, the homotopy equation is constructed. We prove the existence and convergence of a smooth homotopy path from almost any initial interior point to a solution of the KKT system under some basic assumptions.http://dx.doi.org/10.1155/2012/497345 |
| spellingShingle | X. Zhao S. G. Zhang Q. H. Liu Homotopy Interior-Point Method for a General Multiobjective Programming Problem Journal of Applied Mathematics |
| title | Homotopy Interior-Point Method for a General Multiobjective Programming Problem |
| title_full | Homotopy Interior-Point Method for a General Multiobjective Programming Problem |
| title_fullStr | Homotopy Interior-Point Method for a General Multiobjective Programming Problem |
| title_full_unstemmed | Homotopy Interior-Point Method for a General Multiobjective Programming Problem |
| title_short | Homotopy Interior-Point Method for a General Multiobjective Programming Problem |
| title_sort | homotopy interior point method for a general multiobjective programming problem |
| url | http://dx.doi.org/10.1155/2012/497345 |
| work_keys_str_mv | AT xzhao homotopyinteriorpointmethodforageneralmultiobjectiveprogrammingproblem AT sgzhang homotopyinteriorpointmethodforageneralmultiobjectiveprogrammingproblem AT qhliu homotopyinteriorpointmethodforageneralmultiobjectiveprogrammingproblem |