Who Cited It

The Arithmetic Optimization Algorithm

2021 · Computer Methods in Applied Mechanics and Engineering · 2,931 citations · 4 from inside this corpus

Laith Abualigah, Ali Diabat, Seyedali Mirjalili, Mohamed Abd Elaziz, Amir H. Gandomi

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 .

The Arithmetic Optimization Algorithm (2021)The Arithmetic Optimization A…Particle swarm optimization (2007)Particle swarm optimizationGrey Wolf Optimizer (2014)Grey Wolf OptimizerThe Whale Optimization Algorithm (2016)The Whale Optimization Algori…No free lunch theorems for optimization (1997)No free lunch theorems for op…GSA: A Gravitational Search Algorithm (2009)GSA: A Gravitational Search A…SCA: A Sine Cosine Algorithm for solving optimization problems (2016)SCA: A Sine Cosine Algorithm …Teaching–learning-based optimization: A novel method for constrained mechanical design op… (2011)Teaching–learning-based optim…Salp Swarm Algorithm: A bio-inspired optimizer for engineering design problems (2017)Salp Swarm Algorithm: A bio-i…Moth-flame optimization algorithm: A novel nature-inspired heuristic paradigm (2015)Moth-flame optimization algor…Biogeography-Based Optimization (2008)Biogeography-Based Optimizati…An efficient constraint handling method for genetic algorithms (2000)An efficient constraint handl…Multi-Verse Optimizer: a nature-inspired algorithm for global optimization (2015)Multi-Verse Optimizer: a natu…Artificial Intelligence through Simulated Evolution (1966)Artificial Intelligence throu…Imperialist competitive algorithm: An algorithm for optimization inspired by imperialisti… (2007)Imperialist competitive algor…Reducing the Time Complexity of the Derandomized Evolution Strategy with Covariance Matri… (2003)Reducing the Time Complexity …Equilibrium optimizer: A novel optimization algorithm (2019)Equilibrium optimizer: A nove…Cuckoo search algorithm: a metaheuristic approach to solve structural optimization proble… (2011)Cuckoo search algorithm: a me…Krill herd: A new bio-inspired optimization algorithm (2012)Krill herd: A new bio-inspire…An improved harmony search algorithm for solving optimization problems (2006)An improved harmony search al…A new meta-heuristic algorithm for continuous engineering optimization: harmony search th… (2004)A new meta-heuristic algorith…Bat algorithm: a novel approach for global engineering optimization (2012)Bat algorithm: a novel approa…Symbiotic Organisms Search: A new metaheuristic optimization algorithm (2014)Symbiotic Organisms Search: A…Aquila Optimizer: A novel meta-heuristic optimization algorithm (2021)Aquila Optimizer: A novel met…Reptile Search Algorithm (RSA): A nature-inspired meta-heuristic optimizer (2021)Reptile Search Algorithm (RSA…African vultures optimization algorithm: A new nature-inspired metaheuristic algorithm fo… (2021)African vultures optimization…Particle Swarm Optimization: A Comprehensive Survey (2022)Particle Swarm Optimization: …
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What this paper cites, inside the corpus

PaperYearCited
Particle swarm optimization200721,409
Grey Wolf Optimizer201419,144
The Whale Optimization Algorithm201614,509
No free lunch theorems for optimization199714,234
GSA: A Gravitational Search Algorithm20097,401
SCA: A Sine Cosine Algorithm for solving optimization problems20165,696
Teaching–learning-based optimization: A novel method for constrained mechanical design op…20115,154
Salp Swarm Algorithm: A bio-inspired optimizer for engineering design problems20175,098
Moth-flame optimization algorithm: A novel nature-inspired heuristic paradigm20154,645
Biogeography-Based Optimization20084,324
An efficient constraint handling method for genetic algorithms20003,875
Multi-Verse Optimizer: a nature-inspired algorithm for global optimization20152,942
Artificial Intelligence through Simulated Evolution19662,825
Imperialist competitive algorithm: An algorithm for optimization inspired by imperialisti…20072,654
Reducing the Time Complexity of the Derandomized Evolution Strategy with Covariance Matri…20032,612
Equilibrium optimizer: A novel optimization algorithm20192,335
Cuckoo search algorithm: a metaheuristic approach to solve structural optimization proble…20112,269
Krill herd: A new bio-inspired optimization algorithm20121,889
An improved harmony search algorithm for solving optimization problems20061,877
A new meta-heuristic algorithm for continuous engineering optimization: harmony search th…20041,791
Bat algorithm: a novel approach for global engineering optimization20121,746
Symbiotic Organisms Search: A new metaheuristic optimization algorithm20141,572

What cites it, inside the corpus

PaperYearCited
Aquila Optimizer: A novel meta-heuristic optimization algorithm20212,223
Reptile Search Algorithm (RSA): A nature-inspired meta-heuristic optimizer20211,436
African vultures optimization algorithm: A new nature-inspired metaheuristic algorithm fo…20211,428
Particle Swarm Optimization: A Comprehensive Survey20221,399

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Topics

Metaheuristic Optimization Algorithms ResearchComputer Science
Evolutionary Algorithms and ApplicationsComputer Science
Advanced Optimization Algorithms ResearchMathematics

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