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JGO
2010
100views more  JGO 2010»
12 years 10 months ago
On convex relaxations of quadrilinear terms
The best known method to find exact or at least -approximate solutions to polynomial programming problems is the spatial Branch-and-Bound algorithm, which rests on computing lower...
Sonia Cafieri, Jon Lee, Leo Liberti
JGO
2010
61views more  JGO 2010»
12 years 10 months ago
A new smoothing Newton-type algorithm for semi-infinite programming
Chen Ling, Qin Ni, Liqun Qi, Soon-Yi Wu
JGO
2010
92views more  JGO 2010»
13 years 2 months ago
A heuristic method for the minimum toll booth problem
Lihui Bai, Donald W. Hearn, Siriphong Lawphongpani...
JGO
2010
69views more  JGO 2010»
13 years 2 months ago
Partitioning procedure for polynomial optimization
Polyxeni-Margarita Kleniati, Panos Parpas, Ber&cce...
JGO
2010
138views more  JGO 2010»
13 years 2 months ago
Continuous GRASP with a local active-set method for bound-constrained global optimization
Abstract. Global optimization seeks a minimum or maximum of a multimodal function over a discrete or continuous domain. In this paper, we propose a hybrid heuristic – based on th...
Ernesto G. Birgin, Erico M. Gozzi, Mauricio G. C. ...
JGO
2010
112views more  JGO 2010»
13 years 2 months ago
An information global minimization algorithm using the local improvement technique
In this paper, the global optimization problem with an objective function that is multiextremal that satisfies the Lipschitz condition over a hypercube is considered. An algorithm...
Daniela Lera, Yaroslav D. Sergeyev
JGO
2010
89views more  JGO 2010»
13 years 2 months ago
Stopping rules in k-adaptive global random search algorithms
In this paper we develop a methodology for defining stopping rules in a general class of global random search algorithms that are based on the use of statistical procedures. To bu...
Anatoly A. Zhigljavsky, Emily Hamilton
JGO
2010
96views more  JGO 2010»
13 years 2 months ago
Duality and optimality conditions for generalized equilibrium problems involving DC functions
We consider a generalized equilibrium problem involving DC functions which is called (GEP). For this problem we establish two new dual formulations based on Toland-Fenchel-Lagrange...
N. Dinh, Jean-Jacques Strodiot, Van Hien Nguyen