Solving Optimization Problems over the Weakly Efficient Set

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2020.1871009 ◽

2021 ◽

pp. 1-33

Author(s):

Javad Sadeghi ◽

Hossein Mohebi

Keyword(s):

Optimization Problems ◽

Efficient Set ◽

Weakly Efficient Set

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Biconvex programming approach to optimization over the weakly efficient set of a multiple objective affine fractional problem

Operations Research Letters ◽

10.1016/s0167-6377(01)00052-9 ◽

2001 ◽

Vol 28 (2) ◽

pp. 81-92 ◽

Author(s):

Hoang Q. Tuyen ◽

Le D. Muu

Keyword(s):

Efficient Set ◽

Programming Approach ◽

Multiple Objective ◽

Weakly Efficient Set

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Necessary conditions for nonlinear suboptimization over the weakly-efficient set

Journal of Optimization Theory and Applications ◽

10.1007/bf00939883 ◽

1993 ◽

Vol 78 (3) ◽

pp. 579-598 ◽

Author(s):

S. Bolintineanu

Keyword(s):

Necessary Conditions ◽

Efficient Set ◽

Weakly Efficient Set

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Inner approximation algorithms for optimization over the weakly efficient set

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)57009-3 ◽

1999 ◽

Vol 32 (2) ◽

pp. 5915-5920

Author(s):

Syuuji Yamada ◽

Tetsuzo Tanino ◽

Masahiro Inuiguchi

Keyword(s):

Approximation Algorithms ◽

Efficient Set ◽

Inner Approximation ◽

Weakly Efficient Set

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Necessary Conditions for Suboptimization over the Weakly Efficient Set Associated to Generalized Invex Multiobjective Programming

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1996.0270 ◽

1996 ◽

Vol 201 (2) ◽

pp. 502-515 ◽

Author(s):

Xu Zengkun

Keyword(s):

Multiobjective Programming ◽

Necessary Conditions ◽

Efficient Set ◽

Weakly Efficient Set

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An outcome space algorithm for optimization over the weakly efficient set of a multiple objective nonlinear programming problem

Journal of Global Optimization ◽

10.1007/s10898-011-9786-y ◽

2011 ◽

Vol 52 (3) ◽

pp. 553-574 ◽

Author(s):

Harold P. Benson

Keyword(s):

Nonlinear Programming ◽

Programming Problem ◽

Efficient Set ◽

Multiple Objective ◽

Nonlinear Programming Problem ◽

Outcome Space ◽

Weakly Efficient Set ◽

Multiple Objective Nonlinear Programming

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An algorithm for optimizing over the weakly-efficient set

European Journal of Operational Research ◽

10.1016/0377-2217(86)90085-8 ◽

1986 ◽

Vol 25 (2) ◽

pp. 192-199 ◽

Author(s):

Harold P. Benson

Keyword(s):

Efficient Set ◽

Weakly Efficient Set

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Stability of linear vector optimization problems corresponding to an efficient set

Mathematics and Computers in Simulation ◽

10.1016/s0378-4754(01)00282-8 ◽

2001 ◽

Vol 57 (6) ◽

pp. 335-345 ◽

Author(s):

Abou-Zaid H. El-Banna ◽

Sana’a A. Zarea

Keyword(s):

Vector Optimization ◽

Optimization Problems ◽

Efficient Set ◽

Vector Optimization Problems ◽

Linear Vector ◽

Linear Vector Optimization

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On the Structure of the Weakly Efficient Set for Quasiconvex Vector Minimization

Journal of Optimization Theory and Applications ◽

10.1007/s10957-019-01608-6 ◽

2019 ◽

Vol 184 (2) ◽

pp. 547-564

Author(s):

Frank Plastria

Keyword(s):

Efficient Set ◽

Weakly Efficient Set

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Generating the weakly efficient set of nonconvex multiobjective problems

Journal of Global Optimization ◽

10.1007/s10898-007-9263-9 ◽

2007 ◽

Vol 41 (4) ◽

pp. 517-538 ◽

Author(s):

Daniel Gourion ◽

Dinh The Luc

Keyword(s):

Efficient Set ◽

Multiobjective Problems ◽

Weakly Efficient Set

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Conjugate Duality and Optimization over Weakly Efficient Set

Acta Mathematica Vietnamica ◽

10.1007/s40306-016-0182-z ◽

2016 ◽

Vol 42 (2) ◽

pp. 337-355 ◽

Author(s):

Tran Van Thang

Keyword(s):

Efficient Set ◽

Conjugate Duality ◽

Weakly Efficient Set

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