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
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;
Conference_Titel :
Computational Sciences and Optimization (CSO), 2012 Fifth International Joint Conference on
Conference_Location :
Harbin
Print_ISBN :
978-1-4673-1365-0
DOI :
10.1109/CSO.2012.91
