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Advanced arithmetic optimization algorithm for solving mechanical engineering design problems.

Jeffrey O Agushaka1,2, Absalom E Ezugwu1

  • 1School of Mathematics, Statistics, and Computer Science, University of KwaZulu-Natal, Pietermaritzburg, KwaZulu-Natal, South Africa.

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Summary
This summary is machine-generated.

The novel nAOA algorithm enhances optimization by using natural logarithm and exponential operators for exploration. It shows efficient performance on benchmark functions and engineering designs, improving upon the original arithmetic optimization algorithm (AOA).

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Area of Science:

  • Optimization Algorithms
  • Computational Intelligence
  • Metaheuristic Computing

Background:

  • The Arithmetic Optimization Algorithm (AOA) leverages arithmetic operators for global optimum seeking.
  • Existing mathematical operators offer potential for enhancing AOA performance.

Purpose of the Study:

  • To introduce the enhanced nAOA algorithm, improving the exploratory capabilities of the AOA.
  • To utilize natural logarithm and exponential operators for superior exploration in optimization.

Main Methods:

  • The nAOA algorithm integrates natural logarithm and exponential operators for enhanced exploration.
  • Addition and subtraction operators are employed for exploitation within the nAOA.
  • Candidate solutions are initialized and adapted using the beta distribution.

Main Results:

  • The nAOA algorithm demonstrated efficient performance across 30 benchmark functions (20 classical, 10 composite).
  • Performance was evaluated against the original AOA and nine other state-of-the-art algorithms.
  • nAOA achieved competitive results in engineering design benchmarks, ranking second to GWO in WBD, CSD, and PVD.

Conclusions:

  • The nAOA algorithm effectively enhances the exploratory capacity of the AOA.
  • The proposed algorithm shows significant potential for solving complex optimization problems.
  • nAOA offers a promising alternative for researchers and practitioners in optimization fields.