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A deterministic method for continuous global optimization using a dense curve.
- Source :
-
Mathematics & Computers in Simulation . Dec2020, Vol. 178, p62-91. 30p. - Publication Year :
- 2020
-
Abstract
- In this paper, we develop a new approach for solving a large class of global optimization problems for objective functions which are only continuous on a rectangle of R n. This method is based on the reducing transformation technique by running in the feasible domain a single parametrized Lissajous curve, which becomes increasingly denser and progressively fills the feasible domain. By means of the one-dimensional Evtushenko algorithm, we realize a mixed method which explores the feasible domain. To speed up the mixed exploration algorithm, we have incorporated a DIRECT local search type algorithm to explore promising regions. This method converges in a finite number of iterations to the global minimum within a prescribed accuracy ε > 0. Simulations on some typical test problems with diverse properties and different dimensions indicate that the algorithm is promising and competitive. [ABSTRACT FROM AUTHOR]
- Subjects :
- *GLOBAL optimization
*LISSAJOUS' curves
*ALGORITHMS
*SEARCH algorithms
*RECTANGLES
Subjects
Details
- Language :
- English
- ISSN :
- 03784754
- Volume :
- 178
- Database :
- Academic Search Index
- Journal :
- Mathematics & Computers in Simulation
- Publication Type :
- Periodical
- Accession number :
- 145055780
- Full Text :
- https://doi.org/10.1016/j.matcom.2020.05.029