Author
Pinter, Janos D., Horvath, Z.
Publication Date
2013-09
Publication Place
-
Springer Science+Business Media
Subject
Nonlinear optimization under resource constraints, Metamodel, Experimental design, Latin hypercube design (LHD), Regularly spaced sampling LHD strategies, RSS software implementation, LGO solver suite for nonlinear optimization, MathOptimizer Professional (LGO linked to Mathematica), Illustrative numerical results
Type
Periodical
Language
English
Digital
Yes
Manuscript
No
Library
Özyeğin University
Library Asset ID
1573-2916
Record ID
21b24880-59c9-487f-b1bd-2675edddb2f3
Library Location
Industrial Engineering
Date
2013-09
Notes
Due to copyright restrictions, the access to the full text of this article is only available via subscription.
Sample Text
In many real-world applications of optimization, the underlying descriptive system model is defined by computationally expensive functions: simulation modules, numerical models and other “black box” model components are typical examples. In such cases, the model development and optimization team often has to rely on optimization carried out under severe resource constraints. To address this important issue, recently a Regularly Spaced Sampling (RSS) module has been added to the Lipschitz Global Optimizer (LGO) solver suite. RSS generates non-collapsing space filling designs, and produces corresponding solution estimates: this information is passed along to LGO for refinement within the given resource (function evaluation and/or runtime) limitations. Obviously, the quality of the solution obtained will essentially depend both on model instance difficulty and on the admissible computational effort. In spite of this general caveat, our results based on solving a selection of non-trivial global optimization test problems suggest that even a moderate amount of well-placed sampling effort enhanced by limited optimization can lead at least to reasonable or even to high quality results. Our numerical tests also indicate that LGO’s overall efficiency is often increased by using RSS as a presolver, both in resource-constrained and in completed LGO runs.
DOI
10.1007/s10898-012-9882-7
Cilt
57
