Hybrid genetic algorithms for global optimization problems
Abstract
In the last two decades the field evolutionary computation has become a mainstream and several types of evolutionary algorithms are developed for solving optimization and search problems. Evolutionary algorithms (EAs) are mainly inspired from the biological process of evolution. They do not demand for any concrete information such as continuity or differentiability and other information related to the problems to be solved. Due to population based nature, EAs provide a set of solutions and share properties of adaptation through an iterative process. The steepest descent methods and Broyden-Fletcher-Goldfarb-Shanno (BFGS),Hill climbing local search are quite often used for exploitation purposes in order to improve the performance of the existing EAs. In this paper, We have employed the BFGS as an additional operator in the framework of Genetic Algorithm. The idea of add-in BFGS is to sharpen the search around local optima and to speeds up the search process of the suggested algorithm. We have used 24 benchmark functions which was designed for the special session of the 2005 IEEE-Congress on Evolutionary Computation (IEEE-CEC 06) to examine the performance of the suggested hybrid GA. The experimental results provided by HGBA are much competitive and promising as compared to the stand alone GA for dealing with most of the used test problems.
Keywords
References
- S. Cagnoni, et al., Real-World Applications of Evolutionary Computing, Springer-Verlag Lecture Notes in Computer Science, Berlin, 2000.
- R. Chiong, Th. Weise, Z. Michalewicz (Editors), Variants of Evolutionary Algorithms for Real-World Applications, Springer, 2012, ISBN 3642234232
- Floudas, Christodoulos A., Panos M. Pardalos, Claire Adjiman, William R. Esposito, Zeynep H. Gums, Stephen T. Harding, John L. Klepeis, Cliord A. Meyer, and Carl A. Schweiger, Handbook of test problems in local and global optimization, Vol. 33. Springer Science & Business Media, 2013.
- Wenyu Sun and Ya-Xiang Yua, Optimization Theory and Methods: Nonlinear Programming, Springer, ISBN 978-1441937650. pages, 541, 2010.
- Rituparna Datta and Kalyanmoy Deb,Evolutionary Constrained Optimization,Infosys Sci- ence Foundation Series in Applied Sciences and Engineering,ISSN: 2363-4995, Springer, 2015.
- S.H. Chen, J. Wu, and Y.D. Chen Interval optimization for uncertain structures, Finite Elements in Analysis and Design 40 (11), 1379-1398, 2004.
- MarcoCavazzuti, Optimization Methods: From Theory to Design Scientic and Technolog- ical Aspects in Mechanics, Springer Berlin Heidelber,2013.
- E. L. Lawler and D. E. Wood, Branch-and-Bound Methods: A Survey, Journal Operation Research, 14, 4, 699-719,Institute for Operations Research and the Management Sciences (INFORMS), Linthicum, Maryland, USA, 1996.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Authors
Muhammad Asim
This is me
Özgür Yeniay
This is me
Muhammad Asif Jan
This is me
Nasser Tairan
This is me
H. Hussian
This is me
Gai-ge Wang
This is me
Publication Date
June 1, 2018
Submission Date
October 7, 2016
Acceptance Date
April 22, 2017
Published in Issue
Year 2018 Volume: 47 Number: 3