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Defect of Archimedes optimization algorithm and its verification

  • Foundation, algebraic, and analytical methods in soft computing
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Abstract

Archimedes optimization algorithm (AOA) is a new meta-heuristic algorithm which is based on Archimedes principle and mimics the buoyancy force received by an object in water. The AOA is designed according to physical principles and has been the object of many scholars’ research because of its simple and reliable performance. In the course of the study, this paper finds that the AOA is flawed. In the iterative update of the algorithm, the buoyancy principle applied to the object is not completely followed. Through the investigation and analysis of this problem, it is found that the algorithm design which follows the buoyancy principle completely is more advantageously and persuasively, and named the corrected algorithm CAOA. The performance of the CAOA and other comparison optimization algorithms is tested in benchmark functions CEC2017 under equal conditions to verify the ideas proposed in this paper. In the solution accuracy with dimensions of 30 and 50, the comprehensive score of the CAOA is 31 and 33 and ranks first in all algorithms. In the statistical analysis, the CAOA compared with other algorithms one by one, and achieved the best results in all test functions. When compared with other algorithms, the CAOA ranked first. It is hoped that the verification of the ideas in this paper will help the AOA to develop better and optimize the development of the algorithm.

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Acknowledgements

The authors wish to acknowledge the National Natural Science Foundation of China (Grant No. U1731128); the Natural Science Foundation of Liaoning Province (Grant No. 2019-MS-174); the Foundation of Liaoning Province Education Administration (Grant No. 2019LN JC12, LJKZ0279) for the financial support.

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Authors and Affiliations

  1. University of Science and Technology Liaoning, Anshan, China

    Guiyan Ding, Wentao Wang, Hao Liu & Liang** Tu

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  1. Guiyan Ding
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  2. Wentao Wang
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  3. Hao Liu
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  4. Liang** Tu
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Correspondence to Hao Liu.

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Ding, G., Wang, W., Liu, H. et al. Defect of Archimedes optimization algorithm and its verification. Soft Comput 27, 701–722 (2023). https://doi.org/10.1007/s00500-022-07668-7

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