A novel hybrid GWO with WOA for global numerical optimization and solving pressure vessel design
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ORIGINAL ARTICLE
A novel hybrid GWO with WOA for global numerical optimization and solving pressure vessel design Hardi Mohammed1,2
•
Tarik Rashid3
Received: 4 September 2019 / Accepted: 26 February 2020 Springer-Verlag London Ltd., part of Springer Nature 2020
Abstract A recent metaheuristic algorithm, such as Whale optimization algorithm (WOA), was proposed. The idea of proposing this algorithm belongs to the hunting behavior of the humpback whale. However, WOA suffers from poor performance in the exploitation phase and stagnates in the local best solution. Grey wolf optimization (GWO) is a very competitive algorithm comparing to other common metaheuristic algorithms as it has a super performance in the exploitation phase, while it is tested on unimodal benchmark functions. Therefore, the aim of this paper is to hybridize GWO with WOA to overcome the problems. GWO can perform well in exploiting optimal solutions. In this paper, a hybridized WOA with GWO which is called WOAGWO is presented. The proposed hybridized model consists of two steps. Firstly, the hunting mechanism of GWO is embedded into the WOA exploitation phase with a new condition which is related to GWO. Secondly, a new technique is added to the exploration phase to improve the solution after each iteration. Experimentations are tested on three different standard test functions which are called benchmark functions: 23 common functions, 25 CEC2005 functions, and 10 CEC2019 functions. The proposed WOAGWO is also evaluated against original WOA, GWO, and three other commonly used algorithms. Results show that WOAGWO outperforms other algorithms depending on the Wilcoxon rank-sum test. Finally, WOAGWO is likewise applied to solve an engineering problem such as pressure vessel design. Then the results prove that WOAGWO achieves optimum solution which is better than WOA and fitness-dependent optimizer (FDO). Keywords Whale optimization algorithm Grey wolf optimization Benchmark test functions Nature-inspired algorithms Engineering problem Solving pressure vessel design
1 Introduction Optimization is the process to discover an optimum solution in a feasible time. This area has been very dynamic since proposing a genetic algorithm (GA) and differential evolution (DE). Therefore, the number of optimization
& Hardi Mohammed [email protected] 1
Applied Computer Department, College of Medicals and Applied Sciences, Charmo University, Sulaimani, Chamchamal, KRG, Iraq
2
Technical College of Informatics, Sulaimani Polytechnic University, Sulaimani, KRG, Iraq
3
Computer Science and Engineering, School of Computing and Engineering, University of Kurdistan Hewler (UKH), Hewler, KRG, Iraq
problems are increasing and becoming more complex. Consequently, these problems require better optimization methods in order to be solved [1]. There might be several efficient algorithms that can be used to solve a specific problem. However, we cannot consider naming one of them as the best before
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