Title
A DIRECT-type approach for derivative-free constrained global optimization.
Abstract
In the field of global optimization, many efforts have been devoted to globally solving bound constrained optimization problems without using derivatives. In this paper we consider global optimization problems where both bound and general nonlinear constraints are present. To solve this problem we propose the combined use of a DIRECT-type algorithm with a derivative-free local minimization of a nonsmooth exact penalty function. In particular, we define a new DIRECT-type strategy to explore the search space by explicitly taking into account the two-fold nature of the optimization problems, i.e. the global optimization of both the objective function and of a feasibility measure. We report an extensive experimentation on hard test problems to show viability of the approach.
Year
DOI
Venue
2016
10.1007/s10589-016-9876-3
Comp. Opt. and Appl.
Keywords
Field
DocType
Global optimization,Derivative-free optimization,Nonlinear optimization,DIRECT-type algorithm
Continuous optimization,Mathematical optimization,Derivative-free optimization,Global optimization,Vector optimization,Multi-objective optimization,Optimization problem,Mathematics,Metaheuristic,Penalty method
Journal
Volume
Issue
ISSN
65
2
0926-6003
Citations 
PageRank 
References 
1
0.36
10
Authors
5
Name
Order
Citations
PageRank
Gianni Di Pillo1706.55
G. Liuzzi219517.16
Stefano Lucidi378578.11
Veronica Piccialli425920.63
F. Rinaldi518119.61