A hybrid arithmetic optimization algorithm and differential evolution for optimization of truss structures subjected to frequency constraints

Abstract

A new hybrid arithmetic optimization algorithm (AOA) associated with differential evolution (DE) is developed for truss optimization. The development is named as ADE with the goal of maintaining a balance between low computational cost and good solution quality. Besides, several limitations of the AOA, which include the inefficiency of the exploration phase and the inconvenient use of two parameters MOA and MOP to find the optimal solution, as well as how to overcome them are also discussed. In terms of AOA in ADE, the exploration phase is removed, and both math optimizer accelerated (MOA) and math optimizer probability (MOP) parameters are adjusted to be independent of the maximum number of iterations. Moreover, the exploitation phase is modified to exploration which helps to limit local solutions and maintain a balance between exploitation and exploration in ADE algorithm. Through a probability parameter, the DE with DE/best/1 operator is executed in ADE to improve exploitation capability as well as convergence rate. Four truss structures with continuous design variables are considered to demonstrate the performance of the current algorithm. The obtained results show that the developed algorithm has a low computational cost, indicating its computational efficiency.