R Script for Isolated-Speciation-based Particle Swarm Optimization (ISPSO)

Introduction
1-Dimensional Function
Himmelblau Function
Rastrigin Function
Griewank Function
References

Introduction

ispso-1.0.zip

Since December 18, 2011 by Huidae Cho

The ispso.R file is an R script that implements the ISPSO (Isolated-Speciation-based PSO) algorithm introduced by Cho et al. (2011). The abstract of Cho et al. (2011) is available at papers. ISPSO aims to find global and local minima of the objective function. This R script file is distributed under the GNU Public License. If you have questions about this software, leave a comment here.

Please cite this software as "Huidae Cho, Dongkyun Kim, Francisco Olivera, Seth D. Guikema, 2011. Enhanced Speciation in Particle Swarm Optimization for Multi-Modal Problems. European Journal of Operational Research 213 (1), 15–23."

1-Dimensional Function

$F4(x)=1-\exp\left(-2\log(2)\cdot\left(\frac{x-0.08}{0.854}\right)^2\right)\cdot\sin^6\left(5\pi(x^{3/4}-0.05)\right)$

Himmelblau Function

$F5(x_1, x_2)=(x_1^2+x_2-11)^2+(x_1+x_2^2-7)^2$

Rastrigin Function

$F6(\vec{x})=\sum_{i=1}^D\left[x_i^2-10\cos(2\pi x_i)+10\right]$

Griewank Function

$F7(\vec{x})=\frac{1}{4000}\sum_{i=1}^dx_i^2-\prod_{i=1}^d\cos\left(\frac{x_i}{\sqrt{i}}\right)+1$

References

Huidae Cho, Dongkyun Kim, Francisco Olivera, Seth D. Guikema, 2011. Enhanced Speciation in Particle Swarm Optimization for Multi-Modal Problems. European Journal of Operational Research 213 (1), 15–23.