Title
DC programming techniques for solving a class of nonlinear bilevel programs
Abstract
We propose a method for finding a global solution of a class of nonlinear bilevel programs, in which the objective function in the first level is a DC function, and the second level consists of finding a Karush-Kuhn-Tucker point of a quadratic programming problem. This method is a combination of the local algorithm DCA in DC programming with a branch and bound scheme well known in discrete and global optimization. Computational results on a class of quadratic bilevel programs are reported.
Year
DOI
Venue
2009
10.1007/s10898-008-9325-7
J. Global Optimization
Keywords
Field
DocType
Bilevel programming,Nonconvex programming,DC programming,DCA,Global optimization,Branch and bound techniques
Branch and bound,Mathematical optimization,Bilevel optimization,Global optimization,Branch and price,Quadratic equation,Local algorithm,Quadratic programming,Sequential quadratic programming,Mathematics
Journal
Volume
Issue
ISSN
44
3
0925-5001
Citations 
PageRank 
References 
7
0.49
13
Authors
4
Name
Order
Citations
PageRank
Le Thi Hoai An1103880.20
Pham Dinh Tao21340104.84
Nam Nguyen Canh3271.28
Nguyen Thoai470.49