Research Article

Hybrid genetic algorithms for global optimization problems

Volume: 47 Number: 3 June 1, 2018
  • Muhammad Asim
  • Wali Mashwani Khan *
  • Özgür Yeniay
  • Muhammad Asif Jan
  • Nasser Tairan
  • H. Hussian
  • Gai-ge Wang
TR EN

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

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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

APA
Asim, M., Khan, W. M., Yeniay, Ö., Jan, M. A., Tairan, N., Hussian, H., & Wang, G.- ge. (2018). Hybrid genetic algorithms for global optimization problems. Hacettepe Journal of Mathematics and Statistics, 47(3), 539-551. https://izlik.org/JA68AB83LW
AMA
1.Asim M, Khan WM, Yeniay Ö, et al. Hybrid genetic algorithms for global optimization problems. Hacettepe Journal of Mathematics and Statistics. 2018;47(3):539-551. https://izlik.org/JA68AB83LW
Chicago
Asim, Muhammad, Wali Mashwani Khan, Özgür Yeniay, et al. 2018. “Hybrid Genetic Algorithms for Global Optimization Problems”. Hacettepe Journal of Mathematics and Statistics 47 (3): 539-51. https://izlik.org/JA68AB83LW.
EndNote
Asim M, Khan WM, Yeniay Ö, Jan MA, Tairan N, Hussian H, Wang G- ge (June 1, 2018) Hybrid genetic algorithms for global optimization problems. Hacettepe Journal of Mathematics and Statistics 47 3 539–551.
IEEE
[1]M. Asim et al., “Hybrid genetic algorithms for global optimization problems”, Hacettepe Journal of Mathematics and Statistics, vol. 47, no. 3, pp. 539–551, June 2018, [Online]. Available: https://izlik.org/JA68AB83LW
ISNAD
Asim, Muhammad - Khan, Wali Mashwani - Yeniay, Özgür - Jan, Muhammad Asif - Tairan, Nasser - Hussian, H. - Wang, Gai-ge. “Hybrid Genetic Algorithms for Global Optimization Problems”. Hacettepe Journal of Mathematics and Statistics 47/3 (June 1, 2018): 539-551. https://izlik.org/JA68AB83LW.
JAMA
1.Asim M, Khan WM, Yeniay Ö, Jan MA, Tairan N, Hussian H, Wang G- ge. Hybrid genetic algorithms for global optimization problems. Hacettepe Journal of Mathematics and Statistics. 2018;47:539–551.
MLA
Asim, Muhammad, et al. “Hybrid Genetic Algorithms for Global Optimization Problems”. Hacettepe Journal of Mathematics and Statistics, vol. 47, no. 3, June 2018, pp. 539-51, https://izlik.org/JA68AB83LW.
Vancouver
1.Muhammad Asim, Wali Mashwani Khan, Özgür Yeniay, Muhammad Asif Jan, Nasser Tairan, H. Hussian, Gai-ge Wang. Hybrid genetic algorithms for global optimization problems. Hacettepe Journal of Mathematics and Statistics [Internet]. 2018 Jun. 1;47(3):539-51. Available from: https://izlik.org/JA68AB83LW