Advanced arithmetic optimization algorithm for solving mechanical engineering design problems.

The distributive power of the arithmetic operators: multiplication, division, addition, and subtraction, gives the arithmetic optimization algorithm (AOA) its unique ability to find the global optimum for optimization problems used to test its performance. Several other mathematical operators exist...

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Autores principales:	Jeffrey O Agushaka, Absalom E Ezugwu
Formato:	article
Lenguaje:	EN
Publicado:	Public Library of Science (PLoS) 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/dd71944f3d834263a413dde31dd503e1
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id	oai:doaj.org-article:dd71944f3d834263a413dde31dd503e1
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spelling	oai:doaj.org-article:dd71944f3d834263a413dde31dd503e12021-12-02T20:14:56ZAdvanced arithmetic optimization algorithm for solving mechanical engineering design problems.1932-620310.1371/journal.pone.0255703https://doaj.org/article/dd71944f3d834263a413dde31dd503e12021-01-01T00:00:00Zhttps://doi.org/10.1371/journal.pone.0255703https://doaj.org/toc/1932-6203The distributive power of the arithmetic operators: multiplication, division, addition, and subtraction, gives the arithmetic optimization algorithm (AOA) its unique ability to find the global optimum for optimization problems used to test its performance. Several other mathematical operators exist with the same or better distributive properties, which can be exploited to enhance the performance of the newly proposed AOA. In this paper, we propose an improved version of the AOA called nAOA algorithm, which uses the high-density values that the natural logarithm and exponential operators can generate, to enhance the exploratory ability of the AOA. The addition and subtraction operators carry out the exploitation. The candidate solutions are initialized using the beta distribution, and the random variables and adaptations used in the algorithm have beta distribution. We test the performance of the proposed nAOA with 30 benchmark functions (20 classical and 10 composite test functions) and three engineering design benchmarks. The performance of nAOA is compared with the original AOA and nine other state-of-the-art algorithms. The nAOA shows efficient performance for the benchmark functions and was second only to GWO for the welded beam design (WBD), compression spring design (CSD), and pressure vessel design (PVD).Jeffrey O AgushakaAbsalom E EzugwuPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 16, Iss 8, p e0255703 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Jeffrey O Agushaka Absalom E Ezugwu Advanced arithmetic optimization algorithm for solving mechanical engineering design problems.
description	The distributive power of the arithmetic operators: multiplication, division, addition, and subtraction, gives the arithmetic optimization algorithm (AOA) its unique ability to find the global optimum for optimization problems used to test its performance. Several other mathematical operators exist with the same or better distributive properties, which can be exploited to enhance the performance of the newly proposed AOA. In this paper, we propose an improved version of the AOA called nAOA algorithm, which uses the high-density values that the natural logarithm and exponential operators can generate, to enhance the exploratory ability of the AOA. The addition and subtraction operators carry out the exploitation. The candidate solutions are initialized using the beta distribution, and the random variables and adaptations used in the algorithm have beta distribution. We test the performance of the proposed nAOA with 30 benchmark functions (20 classical and 10 composite test functions) and three engineering design benchmarks. The performance of nAOA is compared with the original AOA and nine other state-of-the-art algorithms. The nAOA shows efficient performance for the benchmark functions and was second only to GWO for the welded beam design (WBD), compression spring design (CSD), and pressure vessel design (PVD).
format	article
author	Jeffrey O Agushaka Absalom E Ezugwu
author_facet	Jeffrey O Agushaka Absalom E Ezugwu
author_sort	Jeffrey O Agushaka
title	Advanced arithmetic optimization algorithm for solving mechanical engineering design problems.
title_short	Advanced arithmetic optimization algorithm for solving mechanical engineering design problems.
title_full	Advanced arithmetic optimization algorithm for solving mechanical engineering design problems.
title_fullStr	Advanced arithmetic optimization algorithm for solving mechanical engineering design problems.
title_full_unstemmed	Advanced arithmetic optimization algorithm for solving mechanical engineering design problems.
title_sort	advanced arithmetic optimization algorithm for solving mechanical engineering design problems.
publisher	Public Library of Science (PLoS)
publishDate	2021
url	https://doaj.org/article/dd71944f3d834263a413dde31dd503e1
work_keys_str_mv	AT jeffreyoagushaka advancedarithmeticoptimizationalgorithmforsolvingmechanicalengineeringdesignproblems AT absalomeezugwu advancedarithmeticoptimizationalgorithmforsolvingmechanicalengineeringdesignproblems
_version_	1718374674423873536

Advanced arithmetic optimization algorithm for solving mechanical engineering design problems.

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