Development and Applications of Augmented Whale Optimization Algorithm

Metaheuristics are proven solutions for complex optimization problems. Recently, bio-inspired metaheuristics have shown their capabilities for solving complex engineering problems. The Whale Optimization Algorithm is a popular metaheuristic, which is based on the hunting behavior of whale. For some...

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Main Authors: Khalid Abdulaziz Alnowibet, Shalini Shekhawat, Akash Saxena, Karam M. Sallam, Ali Wagdy Mohamed
Format: Article
Language:English
Published: MDPI AG 2022-06-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/12/2076
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author Khalid Abdulaziz Alnowibet
Shalini Shekhawat
Akash Saxena
Karam M. Sallam
Ali Wagdy Mohamed
author_facet Khalid Abdulaziz Alnowibet
Shalini Shekhawat
Akash Saxena
Karam M. Sallam
Ali Wagdy Mohamed
author_sort Khalid Abdulaziz Alnowibet
collection DOAJ
description Metaheuristics are proven solutions for complex optimization problems. Recently, bio-inspired metaheuristics have shown their capabilities for solving complex engineering problems. The Whale Optimization Algorithm is a popular metaheuristic, which is based on the hunting behavior of whale. For some problems, this algorithm suffers from local minima entrapment. To make WOA compatible with a number of challenging problems, two major modifications are proposed in this paper: the first one is opposition-based learning in the initialization phase, while the second is inculcation of Cauchy mutation operator in the position updating phase. The proposed variant is named the Augmented Whale Optimization Algorithm (AWOA) and tested over two benchmark suits, i.e., classical benchmark functions and the latest CEC-2017 benchmark functions for 10 dimension and 30 dimension problems. Various analyses, including convergence property analysis, boxplot analysis and Wilcoxon rank sum test analysis, show that the proposed variant possesses better exploration and exploitation capabilities. Along with this, the application of AWOA has been reported for three real-world problems of various disciplines. The results revealed that the proposed variant exhibits better optimization performance.
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spelling doaj.art-ed9a8c39ffea416c9e042d5c7b90a3a22023-11-23T17:49:21ZengMDPI AGMathematics2227-73902022-06-011012207610.3390/math10122076Development and Applications of Augmented Whale Optimization AlgorithmKhalid Abdulaziz Alnowibet0Shalini Shekhawat1Akash Saxena2Karam M. Sallam3Ali Wagdy Mohamed4Statistics and Operations Research Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaSwami Keshvanand Institute of Technology, Management & Gramothan, Jaipur 302017, Rajasthan, IndiaSwami Keshvanand Institute of Technology, Management & Gramothan, Jaipur 302017, Rajasthan, IndiaSchool of IT and Systems, University of Canberra, Canberra, ACT 2601, AustraliaOperations Research Department, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza 12613, EgyptMetaheuristics are proven solutions for complex optimization problems. Recently, bio-inspired metaheuristics have shown their capabilities for solving complex engineering problems. The Whale Optimization Algorithm is a popular metaheuristic, which is based on the hunting behavior of whale. For some problems, this algorithm suffers from local minima entrapment. To make WOA compatible with a number of challenging problems, two major modifications are proposed in this paper: the first one is opposition-based learning in the initialization phase, while the second is inculcation of Cauchy mutation operator in the position updating phase. The proposed variant is named the Augmented Whale Optimization Algorithm (AWOA) and tested over two benchmark suits, i.e., classical benchmark functions and the latest CEC-2017 benchmark functions for 10 dimension and 30 dimension problems. Various analyses, including convergence property analysis, boxplot analysis and Wilcoxon rank sum test analysis, show that the proposed variant possesses better exploration and exploitation capabilities. Along with this, the application of AWOA has been reported for three real-world problems of various disciplines. The results revealed that the proposed variant exhibits better optimization performance.https://www.mdpi.com/2227-7390/10/12/2076metaheuristic algorithmsWhale Optimization Algorithm
spellingShingle Khalid Abdulaziz Alnowibet
Shalini Shekhawat
Akash Saxena
Karam M. Sallam
Ali Wagdy Mohamed
Development and Applications of Augmented Whale Optimization Algorithm
Mathematics
metaheuristic algorithms
Whale Optimization Algorithm
title Development and Applications of Augmented Whale Optimization Algorithm
title_full Development and Applications of Augmented Whale Optimization Algorithm
title_fullStr Development and Applications of Augmented Whale Optimization Algorithm
title_full_unstemmed Development and Applications of Augmented Whale Optimization Algorithm
title_short Development and Applications of Augmented Whale Optimization Algorithm
title_sort development and applications of augmented whale optimization algorithm
topic metaheuristic algorithms
Whale Optimization Algorithm
url https://www.mdpi.com/2227-7390/10/12/2076
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