On efficiency of some meta-huristic optimization algorithm in shape-measure method

Shape-Measure technique for solving optimal shape design problems in Cartesian coordinates, needs to apply a standard minimization algorithms. In this paper, we deal with the more suitable standard minimization technique to identify the optimal solution in shape-measure method. Our test example is sample problem which is governed by an elliptic boundary problem. Here, three famous metaheuristic algorithms: Differential Evolution (DE), Particle Swarm Optimization (PSO) and Teaching Learning Based Optimization (TLBO), are examined for this purpose, then the results are compared with the obtained results of six other standard minimization algorithms to find out the best suitable algorithm between them.

Keywords:

Particle Swarm Optimization , elliptic equation , Radon measure , optimal shape , Differential Evolution Optimization , Teaching Learning Based Optimization