A Multi-Strategy Whale Optimization Algorithm and Its Application

Whale Optimization Algorithm (WOA) is a key tool for solving complex engineering optimization problems, aiming at adjusting important parameters to satisfy constraints and optimal objectives. WOA has a simple structure, few parameters, high search capability, and easy implementation. However, it suf...

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Published in:Engineering applications of artificial intelligence Vol. 108; p. 104558
Main Authors: Yang, Wenbiao, Xia, Kewen, Fan, Shurui, Wang, Li, Li, Tiejun, Zhang, Jiangnan, Feng, Yu
Format: Journal Article
Language:English
Published: Elsevier Ltd 01.02.2022
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ISSN:0952-1976, 1873-6769
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Abstract Whale Optimization Algorithm (WOA) is a key tool for solving complex engineering optimization problems, aiming at adjusting important parameters to satisfy constraints and optimal objectives. WOA has a simple structure, few parameters, high search capability, and easy implementation. However, it suffers from the same problems as other metaheuristic algorithms of being prone to local optima and slow convergence, for which the Multi-Strategy Whale Optimization Algorithm (MSWOA) is proposed. Four strategies are introduced in MSWOA. Firstly, a highly randomized chaotic logistic map is used to generate a high-quality initial population. Secondly, exploitation and exploration are enhanced by setting adaptive weights and dynamic convergence factors. Further, a Lévy flight mechanism is introduced to maintain the population diversity in each iteration. Finally, the Evolutionary Population Dynamics (EPD) mechanism is introduced to improve the efficiency of search agents in finding the optimum. Another problem lies in the Semi-Supervised Extreme Learning Machine (SSELM) based on manifold regularization is an effective classification and regression model, but the random generation of input weights and hidden layer thresholds and the grid selection of hyperparameters lead to unsatisfactory classification performance. To this end, we developed the MSWOA-SSELM model, optimally selected the parameters of SSLEM using MSWOA, and applied it to logging layer recognition, which effectively improved the accuracy of logging interpretation. By comparing the experiments with 14 swarm intelligence algorithms on 18 benchmark test functions, the CEC2017 benchmark suite, and an engineering application problem, the experimental results show that MSWOA is significantly superior and effective in solving global optimization problems. Finally, the proposed MSWOA-SSELM is applied in three wells and outperforms other classification models in terms of Accuracy (ACC), Root Mean Square Error (RMSE), and Mean Absolute Error (MAE). It obtained the best results with 96.2567% ACC, MAE of 0.0749, and RMSE of 0.3870.
AbstractList Whale Optimization Algorithm (WOA) is a key tool for solving complex engineering optimization problems, aiming at adjusting important parameters to satisfy constraints and optimal objectives. WOA has a simple structure, few parameters, high search capability, and easy implementation. However, it suffers from the same problems as other metaheuristic algorithms of being prone to local optima and slow convergence, for which the Multi-Strategy Whale Optimization Algorithm (MSWOA) is proposed. Four strategies are introduced in MSWOA. Firstly, a highly randomized chaotic logistic map is used to generate a high-quality initial population. Secondly, exploitation and exploration are enhanced by setting adaptive weights and dynamic convergence factors. Further, a Lévy flight mechanism is introduced to maintain the population diversity in each iteration. Finally, the Evolutionary Population Dynamics (EPD) mechanism is introduced to improve the efficiency of search agents in finding the optimum. Another problem lies in the Semi-Supervised Extreme Learning Machine (SSELM) based on manifold regularization is an effective classification and regression model, but the random generation of input weights and hidden layer thresholds and the grid selection of hyperparameters lead to unsatisfactory classification performance. To this end, we developed the MSWOA-SSELM model, optimally selected the parameters of SSLEM using MSWOA, and applied it to logging layer recognition, which effectively improved the accuracy of logging interpretation. By comparing the experiments with 14 swarm intelligence algorithms on 18 benchmark test functions, the CEC2017 benchmark suite, and an engineering application problem, the experimental results show that MSWOA is significantly superior and effective in solving global optimization problems. Finally, the proposed MSWOA-SSELM is applied in three wells and outperforms other classification models in terms of Accuracy (ACC), Root Mean Square Error (RMSE), and Mean Absolute Error (MAE). It obtained the best results with 96.2567% ACC, MAE of 0.0749, and RMSE of 0.3870.
ArticleNumber 104558
Author Xia, Kewen
Zhang, Jiangnan
Wang, Li
Feng, Yu
Yang, Wenbiao
Li, Tiejun
Fan, Shurui
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  givenname: Wenbiao
  surname: Yang
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  givenname: Kewen
  orcidid: 0000-0003-3968-481X
  surname: Xia
  fullname: Xia, Kewen
  email: kwxia@hebut.edu.cn
  organization: School of Electronics and Information Engineering, Hebei University of Technology, Tianjin 300401, China
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  givenname: Shurui
  surname: Fan
  fullname: Fan, Shurui
  email: fansr@hebut.edu.cn
  organization: School of Electronics and Information Engineering, Hebei University of Technology, Tianjin 300401, China
– sequence: 4
  givenname: Li
  surname: Wang
  fullname: Wang, Li
  email: qhdzywl@hebut.edu.cn
  organization: School of Electronics and Information Engineering, Hebei University of Technology, Tianjin 300401, China
– sequence: 5
  givenname: Tiejun
  surname: Li
  fullname: Li, Tiejun
  email: 1993076@hebut.edu.cn
  organization: School of Mechanical Engineering, Hebei University of Technology, Tianjin 300401, China
– sequence: 6
  givenname: Jiangnan
  surname: Zhang
  fullname: Zhang, Jiangnan
  email: 201911901007@stu.hebut.edu.cn
  organization: School of Electronics and Information Engineering, Hebei University of Technology, Tianjin 300401, China
– sequence: 7
  givenname: Yu
  surname: Feng
  fullname: Feng, Yu
  email: 202021902013@stu.hebut.edu.cn
  organization: School of Electronics and Information Engineering, Hebei University of Technology, Tianjin 300401, China
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Keywords Evolutionary population dynamics
Oil layer recognition
Lévy flight mechanism
Whale optimization algorithm
Semi-supervised extreme learning machine
Language English
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Snippet Whale Optimization Algorithm (WOA) is a key tool for solving complex engineering optimization problems, aiming at adjusting important parameters to satisfy...
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StartPage 104558
SubjectTerms Evolutionary population dynamics
Lévy flight mechanism
Oil layer recognition
Semi-supervised extreme learning machine
Whale optimization algorithm
Title A Multi-Strategy Whale Optimization Algorithm and Its Application
URI https://dx.doi.org/10.1016/j.engappai.2021.104558
Volume 108
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