test_functions.Rd

%% Part of the hydroPSO R package, http://www.rforge.net/hydroPSO/ ; 
%%                                 http://cran.r-project.org/web/packages/hydroPSO
%% Copyright 2011-2012 Mauricio Zambrano-Bigiarini & Rodrigo Rojas
%% Distributed under GPL 2 or later

\name{test_functions}
\alias{ackley}
\alias{griewank}
\alias{rastrigrin}
\alias{rastrigin}
\alias{rosenbrock}
\alias{schafferF6}
\alias{schwefel}
\alias{sphere}
\alias{sackley}
\alias{sgriewank}
\alias{srastrigin}
\alias{srosenbrock}
\alias{sschwefel1_2}
\alias{ssphere}

%- Also NEED an '\alias' for EACH other topic documented here.
\title{
Test Functions for Global Optimisation
}
\description{
Test functions commonly used as benchmark for global optimisation problems
}
\usage{
ackley(x)
griewank(x)
rastrigrin(x)
rosenbrock(x)
schafferF6(x)
schwefel(x)
sphere(x)
sackley(x, o=-32+64*runif(length(x)), fbias=-140)
sgriewank(x, o=-600+1200*runif(length(x)), fbias=-180)
srastrigin(x, o=-5+10*runif(length(x)), fbias=-330)
srosenbrock(x, o=-100+200*runif(length(x)), fbias=390)
sschwefel1_2(x, o=-100+200*runif(length(x)), fbias=-450)
ssphere(x, o=-100+200*runif(length(x)), fbias=-450)

}
%- maybe also 'usage' for other objects documented here.
\arguments{
  \item{x}{
numeric vector to be evaluated
}
  \item{o}{
numeric shifting vector to be used, with the same length of \code{x}
}
  \item{fbias}{
numeric with the bias to be imposed
}
}
%\details{
%\code{Ackley}
%}
\value{
Each test function returns a single numeric value corresponding to the function evaluated on the vector \code{x}
%%  If it is a LIST, use
%%  \item{comp1 }{Description of 'comp1'}
%%  \item{comp2 }{Description of 'comp2'}
%% ...
}
\references{

Test Functions for Unconstrained Global Optimization \cr
\cite{\url{http://www-optima.amp.i.kyoto-u.ac.jp/member/student/hedar/Hedar_files/TestGO_files/Page364.htm}}

GEATbx: Example Functions (single and multi-objective functions) \cr
\cite{\url{http://www.geatbx.com/docu/fcnindex-01.html}}

Problem Definitions and Evaluation Criteria for the CEC 2005 Special Session on Real-Parameter Optimization \cr
\cite{\url{www.lri.fr/~hansen/Tech-Report-May-30-05.pdf}}

Benchmark Problems \cr
\cite{\url{http://www.cs.cmu.edu/afs/cs/project/jair/pub/volume24/ortizboyer05a-html/node6.html}}

\cite{Barrera, J., and C. Coello Coello. 2010, Test function generators for assessing the performance of PSO algorithms in multimodal optimization, in Handbook of Swarm Intelligence, vol. 8, edited by B. Panigrahi, Y. Shi, and M.-H. Lim, chap. Adaptation, Learning, and Optimization, pp. 89-117, Springer Berlin Heidelberg, doi:10.1007/978-3-642-17390-5 4}

\cite{\url{http://www.zsd.ict.pwr.wroc.pl/files/docs/functions.pdf}}

}
\author{
Mauricio Zambrano-Bigiarini, \email{mzb.devel@gmail.com}
}
%%\note{
%%  ~~further notes~~
%%}

%% ~Make other sections like Warning with \section{Warning }{....} ~

\seealso{
\code{\link{hydroPSO}}
}
%%\examples{

%%}
% Add one or more standard keywords, see file 'KEYWORDS' in the
% R documentation directory.
\keyword{optim}
\keyword{math}% __ONLY ONE__ keyword per line