Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 445
Optimal Configuration of Points on the Sphere with a Modified Particle Swarm Optimization
Halima Lakhbab, Nouhaila Adil
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 31, 2022
March 03, 2374
April 15, 2374

Abstract: Finding the optimal configuration of points on a surface of the unit sphere, is a good benchmark test of global optimization[1,2]. Smale[3] has listed a variant of this problem, in his famous article of 18 unsolved mathematical problems, as worthy of focus for this century. Particle Swarm Optimization (PSO) [4] is a stochastic population-based algorithm, inspired by the behavior of social creatures. PSO is effective and promising optimization method. In this work, we tackle the proposed problem by developing a new modified PSO. Simulation results are given to illustrate the and ...