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Lévy flight trajectory-based whale optimization algorithm for engineering optimization

Yongquan Zhou (College of Information Science and Engineering, Guangxi University for Nationalities, Nanning, China and Key Laboratories of Guangxi High Schools Complex System and Computational Intelligence, Nanning, China)
Ying Ling (College of Information Science and Engineering, Guangxi University for Nationalities, Nanning, China)
Qifang Luo (College of Information Science and Engineering, Guangxi University for Nationalities, Nanning, China and Key Laboratories of Guangxi High Schools Complex System and Computational Intelligence, Nanning, China)

Engineering Computations

ISSN: 0264-4401

Article publication date: 15 October 2018

Issue publication date: 25 October 2018

351

Abstract

Purpose

This paper aims to represent an improved whale optimization algorithm (WOA) based on a Lévy flight trajectory and called the LWOA algorithm to solve engineering optimization problems. The LWOA makes the WOA faster, more robust and significantly enhances the WOA. In the LWOA, the Lévy flight trajectory enhances the capability of jumping out of the local optima and is helpful for smoothly balancing exploration and exploitation of the WOA. It has been successfully applied to five standard engineering optimization problems. The simulation results of the classical engineering design problems and real application exhibit the superiority of the LWOA algorithm in solving challenging problems with constrained and unknown search spaces when compared to the basic WOA algorithm or other available solutions.

Design/methodology/approach

In this paper, an improved WOA based on a Lévy flight trajectory and called the LWOA algorithm is represented to solve engineering optimization problems.

Findings

It has been successfully applied to five standard engineering optimization problems. The simulation results of the classical engineering design problems and real application exhibit the superiority of the LWOA algorithm in solving challenging problems with constrained and unknown search spaces when compared to the basic WOA algorithm or other available solutions.

Originality value

An improved WOA based on a Lévy flight trajectory and called the LWOA algorithm is first proposed.

Keywords

Acknowledgements

This work is supported by the National Science Foundation of China under Grant Nos. 61563008, 61463007, and by the Project of Guangxi Natural Science Foundation under Grant No. 2016GXNSFAA380264.

Compliance with ethical standards

Conflicts of interest: The authors declare that they have no conflicts of interest.

Citation

Zhou, Y., Ling, Y. and Luo, Q. (2018), "Lévy flight trajectory-based whale optimization algorithm for engineering optimization", Engineering Computations, Vol. 35 No. 7, pp. 2406-2428. https://doi.org/10.1108/EC-07-2017-0264

Publisher

:

Emerald Publishing Limited

Copyright © 2018, Emerald Publishing Limited

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