Journals / Chaos Theory and Applications / 2019 / Cilt: 1 - Sayı: 1

The Chaos-Based Whale Optimization Algorithms Global Optimization

Pages
51–63
Publication Date
2019-11-30
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

According to the simulation results, all the chaotic maps used in the study significantly improved the performance of the WOA algorithm.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Whale optimization algorithm (WOA) is one of the methods used effectively and efficiently to solve optimization problems in various fields.
📊
Key Findings & Data:In the study, 5 different discrete chaotic maps were used in the aim of increasing the efficacy and efficiency of the WOA algorithm.
💡
Conclusion & Impact:According to the simulation results, all the chaotic maps used in the study significantly improved the performance of the WOA algorithm.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Chaos · Discrete time chaotic systems · Whale optimization algorithm

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.

🔖

Cite This Article

GARİP, Z., CİMEN, M. E., KARAYEL, D., BOZ, A. F. (2019). The Chaos-Based Whale Optimization Algorithms Global Optimization. Chaos Theory and Applications, Cilt: 1 - Sayı: 1, 51–63. https://ajindex.com/articles/480947

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (17)

  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. J. D. Velsquez, "An introduction to chaos-based algorithms for numerical optimization", Avances en Sistemas e Informtica, Vol. 8, No. 3, 2011
  3. G. Kaur and S. Aror, "Chaotic whale optimization algorithm", Journal of Computational Design and Engineering Vol.5, pp. 275284, 2018
  4. R. Eberhart and J. Kennedy, " Particle swarm optimization", In Proceedings of IEEE inter- national conference on neural networks,pp. 19421948, 1995
  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. X. S. Yang, "Firefly algorithm, Levy flights and global optimization", In Research and development in intelligent systems XXVI, pp. 209218, 2010
  7. D. Simon, "Biogeography-based optimization", IEEE Transactions on Evolutionary Compu- tation, Vol. 12, No. 6, pp. 702713, 2008
  8. A. H. Gandomi and X. S. Yang, "Chaotic bat algorithm", Journal of Computational Science, Vol. 5, No.2, pp. 224232,2014
  9. A. H. Gandomi and A. H. Alavi,"Krill herd: A new bio-inspired optimization algorithm", Communications in Nonlinear Science and Numerical Simulation, Vol. 17,No. 12, pp. 48314845, 2012
  10. C. Shu-Chuan, T. Pei-Wei and P. Jeng-Shyang, "Cat swarm optimization", In 9th Pacific Rim international conference on artificial intelligence, LNAI Vol. 4099, pp. 854858, 2006
  11. S. Mirjalili, S. M. Mirjalili and A. Lewis, "Grey wolf optimizer", Advances in Engineering Software, Vol. 69, pp. 4661, 2014
  12. S. Mirjalili, "The ant lion optimizer", Advances in Engineering Software,Vol. 83,pp. 8098, 2015
  13. S. Arora and S. Singh, " Butterfly algorithm with Lvy Flights for global optimization. In 2015 International conference on signal processing, computing and control, pp. 220224, 2015
  14. S. Mirjalili and A. Lewis, "The whale optimization algorithm", Advances in Engineering Software, Vol. 95, pp. 5167, 2016
  15. R. Sheikholeslami and A. Kaveh, "A Survey Of Chaos Embedded Meta-Heurstc algorthms", Int. J. Optim. Civil Eng., Vol.3 No.4, pp. 617-633, 2013
  16. I. Fister, M. Perc and Sa.M. Kamal, "A review of chaos-based firefly algorithms: Perspectives and research challenges", Applied Mathematics and Computation, Vol. 252, pp.155165, 2015
  17. R. Hosseinpourfard and M.M. J