A Hybrid Arithmetic Optimization and Golden Sine Algorithm for Solving Industrial Engineering Design Problems

Qingxin Liu, Ni Li, Heming Jia, Qi Qi, Laith Abualigah and Yuxiang Liu
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Qingxin Liu: School of Computer Science and Technology, Hainan University, Haikou 570228, China
Ni Li: School of Mathematics and Statistics, Hainan Normal University, Haikou 571158, China
Heming Jia: School of Information Engineering, Sanming University, Sanming 365004, China
Qi Qi: School of Computer Science and Technology, Hainan University, Haikou 570228, China
Laith Abualigah: Faculty of Computer Sciences and Informatics, Amman Arab University, Amman 11953, Jordan
Yuxiang Liu: College of Physics and Information Engineering, Fuzhou University, Fuzhou 350108, China

Mathematics, 2022, vol. 10, issue 9, 1-30

Abstract: 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.

Keywords: Meta-heuristics; arithmetic optimization algorithm; golden sine algorithm; hybrid optimization algorithm; industrial engineering design problem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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