Research Article

The Chaos-Based Whale Optimization Algorithms Global Optimization

Volume: 1 Number: 1 November 30, 2019
EN

The Chaos-Based Whale Optimization Algorithms Global Optimization

Abstract

Whale optimization algorithm (WOA) is one of the methods used effectively and efficiently to solve optimization problems in various fields. In the study, 5 different discrete chaotic maps were used in the aim of increasing the efficacy and efficiency of the WOA algorithm. CBWOA 1, CBWOA 2, CBWOA 3 and CBWOA 4 algorithms based on chaotic maps and whale optimization algorithm have been proposed for global optimization. In order to adjust the parameters contained in the WOA, random number sequences from Tinkerbell, Sine, Logistic, Tent and Henon chaotic maps were used. In order to test the accuracy of the developed algorithms and do the performance analysis, six different unimodal and multimodal benchmark functions were used. According to the simulation results, all the chaotic maps used in the study significantly improved the performance of the WOA algorithm.

Keywords

References

  1. [1] N. Aslimani and R. Ellaia, "A new chaos optimization algorithm based on symmetrization and levelling approaches for global optimization" , Numer Algo.,Vol.79, pp. 10211047, 2018.
  2. [2] J. D. Velsquez, "An introduction to chaos-based algorithms for numerical optimization", Avances en Sistemas e Informtica, Vol. 8, No. 3, 2011.
  3. [3] G. Kaur and S. Aror, "Chaotic whale optimization algorithm", Journal of Computational Design and Engineering Vol.5, pp. 275284, 2018.
  4. [4] R. Eberhart and J. Kennedy, " Particle swarm optimization", In Proceedings of IEEE inter- national conference on neural networks,pp. 19421948, 1995.
  5. [5] M. Dorigo and G. Di Caro, "Ant colony optimization: A new meta-heuristic", In CEC 99. Proceedings of the 1999 congress on evolutionary computation, Vol. 2, pp. 14701477, 1999.
  6. [6] X. S. Yang, "Firefly algorithm, Levy flights and global optimization", In Research and development in intelligent systems XXVI, pp. 209218, 2010.
  7. [7] D. Simon, "Biogeography-based optimization", IEEE Transactions on Evolutionary Compu- tation, Vol. 12, No. 6, pp. 702713, 2008.
  8. [8] A. H. Gandomi and X. S. Yang, "Chaotic bat algorithm", Journal of Computational Science, Vol. 5, No.2, pp. 224232 ,2014 .

Details

Primary Language

English

Subjects

Electrical Engineering

Journal Section

Research Article

Publication Date

November 30, 2019

Submission Date

November 6, 2019

Acceptance Date

November 13, 2019

Published in Issue

Year 2019 Volume: 1 Number: 1

APA
Garip, Z., Cimen, M. E., Karayel, D., & Boz, A. F. (2019). The Chaos-Based Whale Optimization Algorithms Global Optimization. Chaos Theory and Applications, 1(1), 51-63. https://izlik.org/JA27AP88KN
AMA
1.Garip Z, Cimen ME, Karayel D, Boz AF. The Chaos-Based Whale Optimization Algorithms Global Optimization. CHTA. 2019;1(1):51-63. https://izlik.org/JA27AP88KN
Chicago
Garip, Zeynep, Murat Erhan Cimen, Durmuş Karayel, and Ali Fuat Boz. 2019. “The Chaos-Based Whale Optimization Algorithms Global Optimization”. Chaos Theory and Applications 1 (1): 51-63. https://izlik.org/JA27AP88KN.
EndNote
Garip Z, Cimen ME, Karayel D, Boz AF (November 1, 2019) The Chaos-Based Whale Optimization Algorithms Global Optimization. Chaos Theory and Applications 1 1 51–63.
IEEE
[1]Z. Garip, M. E. Cimen, D. Karayel, and A. F. Boz, “The Chaos-Based Whale Optimization Algorithms Global Optimization”, CHTA, vol. 1, no. 1, pp. 51–63, Nov. 2019, [Online]. Available: https://izlik.org/JA27AP88KN
ISNAD
Garip, Zeynep - Cimen, Murat Erhan - Karayel, Durmuş - Boz, Ali Fuat. “The Chaos-Based Whale Optimization Algorithms Global Optimization”. Chaos Theory and Applications 1/1 (November 1, 2019): 51-63. https://izlik.org/JA27AP88KN.
JAMA
1.Garip Z, Cimen ME, Karayel D, Boz AF. The Chaos-Based Whale Optimization Algorithms Global Optimization. CHTA. 2019;1:51–63.
MLA
Garip, Zeynep, et al. “The Chaos-Based Whale Optimization Algorithms Global Optimization”. Chaos Theory and Applications, vol. 1, no. 1, Nov. 2019, pp. 51-63, https://izlik.org/JA27AP88KN.
Vancouver
1.Zeynep Garip, Murat Erhan Cimen, Durmuş Karayel, Ali Fuat Boz. The Chaos-Based Whale Optimization Algorithms Global Optimization. CHTA [Internet]. 2019 Nov. 1;1(1):51-63. Available from: https://izlik.org/JA27AP88KN

Chaos Theory and Applications in Applied Sciences and Engineering: An interdisciplinary journal of nonlinear science 23830 28903   

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