A Hybrid Arithmetic Optimization and Golden Sine Algorithm for Solving Industrial Engineering Design Problems
Arithmetic Optimization Algorithm (AOA) is a physically inspired optimization algorithm that mimics arithmetic operators in mathematical calculation. Although the AOA has an acceptable exploration and exploitation ability, it also has some shortcomings such as low population diversity, premature con...
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| Format: | Article |
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MDPI AG
2022-05-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/9/1567 |
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| author | Qingxin Liu Ni Li Heming Jia Qi Qi Laith Abualigah Yuxiang Liu |
| author_facet | Qingxin Liu Ni Li Heming Jia Qi Qi Laith Abualigah Yuxiang Liu |
| author_sort | Qingxin Liu |
| collection | DOAJ |
| description | Arithmetic Optimization Algorithm (AOA) is a physically inspired optimization algorithm that mimics arithmetic operators in mathematical calculation. Although the AOA has an acceptable exploration and exploitation ability, it also has some shortcomings such as low population diversity, premature convergence, and easy stagnation into local optimal solutions. The Golden Sine Algorithm (Gold-SA) has strong local searchability and fewer coefficients. To alleviate the above issues and improve the performance of AOA, in this paper, we present a hybrid AOA with Gold-SA called HAGSA for solving industrial engineering design problems. We divide the whole population into two subgroups and optimize them using AOA and Gold-SA during the searching process. By dividing these two subgroups, we can exchange and share profitable information and utilize their advantages to find a satisfactory global optimal solution. Furthermore, we used the Levy flight and proposed a new strategy called Brownian mutation to enhance the searchability of the hybrid algorithm. To evaluate the efficiency of the proposed work, HAGSA, we selected the CEC 2014 competition test suite as a benchmark function and compared HAGSA against other well-known algorithms. Moreover, five industrial engineering design problems were introduced to verify the ability of algorithms to solve real-world problems. The experimental results demonstrate that the proposed work HAGSA is significantly better than original AOA, Gold-SA, and other compared algorithms in terms of optimization accuracy and convergence speed. |
| first_indexed | 2024-03-10T03:55:39Z |
| format | Article |
| id | doaj.art-7115ac6fc6784d389589112f202ca42c |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T03:55:39Z |
| publishDate | 2022-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-7115ac6fc6784d389589112f202ca42c2023-11-23T08:46:15ZengMDPI AGMathematics2227-73902022-05-01109156710.3390/math10091567A Hybrid Arithmetic Optimization and Golden Sine Algorithm for Solving Industrial Engineering Design ProblemsQingxin Liu0Ni Li1Heming Jia2Qi Qi3Laith Abualigah4Yuxiang Liu5School of Computer Science and Technology, Hainan University, Haikou 570228, ChinaSchool of Mathematics and Statistics, Hainan Normal University, Haikou 571158, ChinaSchool of Information Engineering, Sanming University, Sanming 365004, ChinaSchool of Computer Science and Technology, Hainan University, Haikou 570228, ChinaFaculty of Computer Sciences and Informatics, Amman Arab University, Amman 11953, JordanCollege of Physics and Information Engineering, Fuzhou University, Fuzhou 350108, ChinaArithmetic Optimization Algorithm (AOA) is a physically inspired optimization algorithm that mimics arithmetic operators in mathematical calculation. Although the AOA has an acceptable exploration and exploitation ability, it also has some shortcomings such as low population diversity, premature convergence, and easy stagnation into local optimal solutions. The Golden Sine Algorithm (Gold-SA) has strong local searchability and fewer coefficients. To alleviate the above issues and improve the performance of AOA, in this paper, we present a hybrid AOA with Gold-SA called HAGSA for solving industrial engineering design problems. We divide the whole population into two subgroups and optimize them using AOA and Gold-SA during the searching process. By dividing these two subgroups, we can exchange and share profitable information and utilize their advantages to find a satisfactory global optimal solution. Furthermore, we used the Levy flight and proposed a new strategy called Brownian mutation to enhance the searchability of the hybrid algorithm. To evaluate the efficiency of the proposed work, HAGSA, we selected the CEC 2014 competition test suite as a benchmark function and compared HAGSA against other well-known algorithms. Moreover, five industrial engineering design problems were introduced to verify the ability of algorithms to solve real-world problems. The experimental results demonstrate that the proposed work HAGSA is significantly better than original AOA, Gold-SA, and other compared algorithms in terms of optimization accuracy and convergence speed.https://www.mdpi.com/2227-7390/10/9/1567Meta-heuristicsarithmetic optimization algorithmgolden sine algorithmhybrid optimization algorithmindustrial engineering design problem |
| spellingShingle | Qingxin Liu Ni Li Heming Jia Qi Qi Laith Abualigah Yuxiang Liu A Hybrid Arithmetic Optimization and Golden Sine Algorithm for Solving Industrial Engineering Design Problems Mathematics Meta-heuristics arithmetic optimization algorithm golden sine algorithm hybrid optimization algorithm industrial engineering design problem |
| title | A Hybrid Arithmetic Optimization and Golden Sine Algorithm for Solving Industrial Engineering Design Problems |
| title_full | A Hybrid Arithmetic Optimization and Golden Sine Algorithm for Solving Industrial Engineering Design Problems |
| title_fullStr | A Hybrid Arithmetic Optimization and Golden Sine Algorithm for Solving Industrial Engineering Design Problems |
| title_full_unstemmed | A Hybrid Arithmetic Optimization and Golden Sine Algorithm for Solving Industrial Engineering Design Problems |
| title_short | A Hybrid Arithmetic Optimization and Golden Sine Algorithm for Solving Industrial Engineering Design Problems |
| title_sort | hybrid arithmetic optimization and golden sine algorithm for solving industrial engineering design problems |
| topic | Meta-heuristics arithmetic optimization algorithm golden sine algorithm hybrid optimization algorithm industrial engineering design problem |
| url | https://www.mdpi.com/2227-7390/10/9/1567 |
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