Chaotic arithmetic optimization algorithm

Arithmetic Optimization Algorithm (AOA) is a meta-heuristic algorithm. Its main idea is to use the distribution behavior of the four main mathematical operators of addition(A), subtraction(S), multiplication(M) and division(D). Chaotic mapping strategy was introduced into the optimization process of...

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Bibliographic Details
Published in:Applied intelligence (Dordrecht, Netherlands) Vol. 52; no. 14; pp. 16718 - 16757
Main Authors: Li, Xu-Dong, Wang, Jie-Sheng, Hao, Wen-Kuo, Zhang, Min, Wang, Min
Format: Journal Article
Language:English
Published: New York Springer US 01.11.2022
Springer Nature B.V
Subjects:
Algorithms
Arithmetic
Artificial Intelligence
Chaos theory
Computer Science
Convergence
Design engineering
Design optimization
Embedding
Heuristic methods
Machines
Manufacturing
Mathematical analysis
Mechanical Engineering
Multiplication
Operators (mathematics)
Optimization algorithms
Pressure vessel design
Pressure vessels
Processes
Subtraction
Arithmetic optimization algorithm
Chaotic map
Function optimization
Engineering optimization
ISSN:0924-669X, 1573-7497
Online Access:Get full text
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Summary:Arithmetic Optimization Algorithm (AOA) is a meta-heuristic algorithm. Its main idea is to use the distribution behavior of the four main mathematical operators of addition(A), subtraction(S), multiplication(M) and division(D). Chaotic mapping strategy was introduced into the optimization process of AOA. Firstly, ten chaotic maps are separately embedded into two parameter Arithmetic Optimization Accelerator (MOA) and Arithmetic Optimization Probability (MOP) that affect the exploration and balance of AOA so as to enhance its ergodicity and non-repeatability, and improve its convergence speed and accuracy. Then a combination test was carried out by embedding ten chaotic maps into MOA and MOP at the same time, and their advantages and disadvantages were compared with the chaotic maps embedded separately. 26 benchmark functions in CEC-BC-2017 are used to examine the performance of the proposed chaotic arithmetic optimization algorithm (CAOA). Finally, four engineering design issues are optimized, involving three-bar truss design problem, welded beam design problem, pressure vessel design problem and spring design problem. The experimental results reveal that CAOA can obviously solve the function optimization and engineering optimization problems. AOA based on the chaotic interference factors has the merit of balancing the exploration and exploitation in the optimization process and enhances the convergence accuracy.
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ISSN:0924-669X
1573-7497
DOI:10.1007/s10489-021-03037-3