DocumentCode
3062599
Title
An Analysis of Some Dual Problems for Mathematical Programming Problems with Inequality and Equality Constraints
Author
Liu, Sanming ; Wang, Zhijie
Author_Institution
Dept. of Math. & Phys., Shanghai Dianji Univ., Shanghai, China
fYear
2012
fDate
23-26 June 2012
Firstpage
380
Lastpage
384
Abstract
In this paper, the optimization problems with inequality and equality constraints are considered. Using the Fenchel-Rockafellar approach, different dual optimization problems by means of distinct perturbations of the primal problem are derived and studied. For the various dual problems, equality and inequality relations between the optimum values are verified under appropriate assumptions. Moreover, the duality relations to the primal problem are considered.
Keywords
duality (mathematics); mathematical programming; Fenchel-Rockafellar approach; distinct perturbation; dual optimization problem; duality relation; inequality constraint; mathematical programming problem; primal problem; Convex functions; Educational institutions; Electronic mail; Mathematical programming; Programming; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Computational Sciences and Optimization (CSO), 2012 Fifth International Joint Conference on
Conference_Location
Harbin
Print_ISBN
978-1-4673-1365-0
Type
conf
DOI
10.1109/CSO.2012.91
Filename
6274750
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