Homotopy Method for a General Multiobjective Programming Problem

In this paper, we present a combined homotopy interior-point method for a general multiobjective programming problem. The algorithm generated by this method associated to Karush–Kuhn–Tucker points of the multiobjective programming problem is proved to be globally convergent under some basic assumpti...

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Veröffentlicht in:Journal of optimization theory and applications Jg. 138; H. 1; S. 139 - 153
Hauptverfasser: Song, W., Yao, G. M.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Boston Springer US 01.07.2008
Springer
Springer Nature B.V
Schlagworte:
Algorithms
Applications of Mathematics
Applied sciences
Basic converters
Calculus of Variations and Optimal Control; Optimization
Engineering
Exact sciences and technology
Linear programming
Mathematical programming
Mathematics
Mathematics and Statistics
Operational research and scientific management
Operational research. Management science
Operations Research/Decision Theory
Optimization
Pareto optimum
Programming
Theory of Computation
Multiobjective programming problems
Efficient solutions
Homotopy methods
KKT conditions
Efficiency
KKT conditions
Homotopy
Karush Kuhn Tucker method
Multiobjective programming
Interior point method
Efficient solutions
Non linear programming
ISSN:0022-3239, 1573-2878
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Abstract In this paper, we present a combined homotopy interior-point method for a general multiobjective programming problem. The algorithm generated by this method associated to Karush–Kuhn–Tucker points of the multiobjective programming problem is proved to be globally convergent under some basic assumptions.
AbstractList In this paper, we present a combined homotopy interior-point method for a general multiobjective programming problem. The algorithm generated by this method associated to Karush-Kuhn-Tucker points of the multiobjective programming problem is proved to be globally convergent under some basic assumptions. [PUBLICATION ABSTRACT]
In this paper, we present a combined homotopy interior-point method for a general multiobjective programming problem. The algorithm generated by this method associated to Karush-Kuhn-Tucker points of the multiobjective programming problem is proved to be globally convergent under some basic assumptions.
Author Song, W.
Yao, G. M.
Author_xml – sequence: 1
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  surname: Song
  fullname: Song, W.
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  organization: Department of Mathematics, Harbin Normal University
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  givenname: G. M.
  surname: Yao
  fullname: Yao, G. M.
  organization: Department of Mathematics, Harbin College
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CitedBy_id crossref_primary_10_1016_j_compchemeng_2018_03_014
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crossref_primary_10_1155_2012_497345
crossref_primary_10_1155_2017_5675183
crossref_primary_10_1002_aic_17629
crossref_primary_10_1016_j_cam_2011_07_011
crossref_primary_10_1155_2011_464832
Cites_doi 10.1137/0307016
10.2307/2006493
10.1287/moor.14.2.203
10.1023/B:JOTA.0000042594.46637.b4
10.1137/0806010
10.1137/0713041
10.1023/B:JOTA.0000004872.93803.09
10.1016/0096-3003(95)00295-2
10.1016/S0096-3003(96)00086-0
10.1287/moor.15.3.408
10.1007/978-3-642-61257-2
10.1090/S0025-5718-1978-0492046-9
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Issue 1
Keywords Multiobjective programming problems
Efficient solutions
Homotopy methods
KKT conditions
Efficiency
KKT conditions
Homotopy
Karush Kuhn Tucker method
Multiobjective programming
Interior point method
Efficient solutions
Non linear programming
Language English
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PublicationTitle Journal of optimization theory and applications
PublicationTitleAbbrev J Optim Theory Appl
PublicationYear 2008
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Springer Nature B.V
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Snippet In this paper, we present a combined homotopy interior-point method for a general multiobjective programming problem. The algorithm generated by this method...
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SubjectTerms Algorithms
Applications of Mathematics
Applied sciences
Basic converters
Calculus of Variations and Optimal Control; Optimization
Engineering
Exact sciences and technology
Linear programming
Mathematical programming
Mathematics
Mathematics and Statistics
Operational research and scientific management
Operational research. Management science
Operations Research/Decision Theory
Optimization
Pareto optimum
Programming
Theory of Computation
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Title Homotopy Method for a General Multiobjective Programming Problem
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