A Modified Bat Algorithm with Conjugate Gradient Method for Global Optimization
Joint Authors
Ahmed, Huda I.
Hamed, Eman T.
Saeed Chilmeran, Hamsa Th.
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-04
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Metaheuristic algorithms are used to solve many optimization problems.
Firefly algorithm, particle swarm improvement, harmonic search, and bat algorithm are used as search algorithms to find the optimal solution to the problem field.
In this paper, we have investigated and analyzed a new scaled conjugate gradient algorithm and its implementation, based on the exact Wolfe line search conditions and the restart Powell criterion.
The new spectral conjugate gradient algorithm is a modification of the Birgin and Martínez method, a manner to overcome the lack of positive definiteness of the matrix defining the search direction.
The preliminary computational results for a set of 30 unconstrained optimization test problems show that this new spectral conjugate gradient outperforms a standard conjugate gradient in this field and we have applied the newly proposed spectral conjugate gradient algorithm in bat algorithm to reach the lowest possible goal of bat algorithm.
The newly proposed approach, namely, the directional bat algorithm (CG-BAT), has been then tested using several standard and nonstandard benchmarks from the CEC’2005 benchmark suite with five other algorithms and has been then tested using nonparametric statistical tests and the statistical test results show the superiority of the directional bat algorithm, and also we have adopted the performance profiles given by Dolan and More which show the superiority of the new algorithm (CG-BAT).
American Psychological Association (APA)
Ahmed, Huda I.& Hamed, Eman T.& Saeed Chilmeran, Hamsa Th.. 2020. A Modified Bat Algorithm with Conjugate Gradient Method for Global Optimization. International Journal of Mathematics and Mathematical Sciences،Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1172654
Modern Language Association (MLA)
Ahmed, Huda I.…[et al.]. A Modified Bat Algorithm with Conjugate Gradient Method for Global Optimization. International Journal of Mathematics and Mathematical Sciences No. 2020 (2020), pp.1-14.
https://search.emarefa.net/detail/BIM-1172654
American Medical Association (AMA)
Ahmed, Huda I.& Hamed, Eman T.& Saeed Chilmeran, Hamsa Th.. A Modified Bat Algorithm with Conjugate Gradient Method for Global Optimization. International Journal of Mathematics and Mathematical Sciences. 2020. Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1172654
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1172654