The Arithmetic Optimization Algorithm

This work proposes a new meta-heuristic method called Arithmetic Optimization Algorithm (AOA) that utilizes the distribution behavior of the main arithmetic operators in mathematics including (Multiplication (M), Division (D), Subtraction (S), and Addition (A)). AOA is mathematically modeled and imp...

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Published in:	Computer methods in applied mechanics and engineering Vol. 376; p. 113609
Main Authors:	Abualigah, Laith, Diabat, Ali, Mirjalili, Seyedali, Abd Elaziz, Mohamed, Gandomi, Amir H.
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier B.V 01.04.2021 Elsevier BV
Subjects:	Algorithm Algorithms AOA Arithmetic Arithmetic Optimization Algorithm Artificial Intelligence Benchmark Computational Intelligence Design engineering Genetic Algorithm Grey Wolf Optimizer Heuristic Heuristic methods Meta-heuristics Multiplication Operators (mathematics) Optimization Optimization algorithms Particle Swarm Optimization Subtraction Whale Optimization Algorithm Arithmetic Optimization Algorithm Whale Optimization Algorithm Artificial Intelligence Genetic Algorithm Algorithm Optimization Meta-heuristics AOA Computational Intelligence Grey Wolf Optimizer Benchmark Particle Swarm Optimization Heuristic
ISSN:	0045-7825
Online Access:	Get full text
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Abstract	This work proposes a new meta-heuristic method called Arithmetic Optimization Algorithm (AOA) that utilizes the distribution behavior of the main arithmetic operators in mathematics including (Multiplication (M), Division (D), Subtraction (S), and Addition (A)). AOA is mathematically modeled and implemented to perform the optimization processes in a wide range of search spaces. The performance of AOA is checked on twenty-nine benchmark functions and several real-world engineering design problems to showcase its applicability. The analysis of performance, convergence behaviors, and the computational complexity of the proposed AOA have been evaluated by different scenarios. Experimental results show that the AOA provides very promising results in solving challenging optimization problems compared with eleven other well-known optimization algorithms. Source codes of AOA are publicly available at and .
AbstractList	This work proposes a new meta-heuristic method called Arithmetic Optimization Algorithm (AOA) that utilizes the distribution behavior of the main arithmetic operators in mathematics including (Multiplication (M), Division (D), Subtraction (S), and Addition (A)). AOA is mathematically modeled and implemented to perform the optimization processes in a wide range of search spaces. The performance of AOA is checked on twenty-nine benchmark functions and several real-world engineering design problems to showcase its applicability. The analysis of performance, convergence behaviors, and the computational complexity of the proposed AOA have been evaluated by different scenarios. Experimental results show that the AOA provides very promising results in solving challenging optimization problems compared with eleven other well-known optimization algorithms. Source codes of AOA are publicly available at and .
ArticleNumber	113609
Author	Abualigah, Laith Gandomi, Amir H. Diabat, Ali Abd Elaziz, Mohamed Mirjalili, Seyedali
Author_xml	– sequence: 1 givenname: Laith surname: Abualigah fullname: Abualigah, Laith email: Aligah.2020@gmail.com organization: Faculty of Computer Sciences and Informatics, Amman Arab University, 11953, Amman, Jordan – sequence: 2 givenname: Ali surname: Diabat fullname: Diabat, Ali email: Diabat@nyu.edu organization: Division of Engineering, New York University Abu Dhabi, Saadiyat Island, 129188, Abu Dhabi, United Arab Emirates – sequence: 3 givenname: Seyedali surname: Mirjalili fullname: Mirjalili, Seyedali email: ali.mirjalili@laureate.edu.au organization: Centre for Artificial Intelligence Research and Optimisation, Torrens University Australia, Brisbane, Australia – sequence: 4 givenname: Mohamed surname: Abd Elaziz fullname: Abd Elaziz, Mohamed email: sabd_el_aziz_m@yahoo.com organization: Department of Mathematics, Faculty of Science, Zagazig University, Egypt – sequence: 5 givenname: Amir H. surname: Gandomi fullname: Gandomi, Amir H. email: Gandomi@uts.edu.au organization: Faculty of Engineering and Information Technology, University of Technology Sydney, Ultimo, NSW 2007, Australia
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Snippet	This work proposes a new meta-heuristic method called Arithmetic Optimization Algorithm (AOA) that utilizes the distribution behavior of the main arithmetic...
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SubjectTerms	Algorithm Algorithms AOA Arithmetic Arithmetic Optimization Algorithm Artificial Intelligence Benchmark Computational Intelligence Design engineering Genetic Algorithm Grey Wolf Optimizer Heuristic Heuristic methods Meta-heuristics Multiplication Operators (mathematics) Optimization Optimization algorithms Particle Swarm Optimization Subtraction Whale Optimization Algorithm
Title	The Arithmetic Optimization Algorithm
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