makeModifiedRastriginFunction

A modified version of the Rastrigin function following the formula:
$$f(\mathbf{x}) = \sum_{i=1}^{n} 10\left(1 + \cos(2\pi k_i \mathbf{x}_i)\right) + 2 k_i \mathbf{x}_i^2.$$
The box-constraints are given by $\mathbf{x}_i \in [0, 1]$ for
$i = 1, \ldots, n$ and $k$ is a numerical vector. Deb et al. (see references)
use, e.g., $k = (2, 2, 3, 4)$ for $n = 4$. See the reference for details.

Provides generators for a high number of both single- and multi-
objective test functions which are frequently used for the benchmarking of
(numerical) optimization algorithms. Moreover, it offers a set of convenient
functions to generate, plot and work with objective functions.

Jakob Bossek

smoof

Single and Multi-Objective Optimization Test Functions

Pascal Kerschke

makeModifiedRastriginFunction function

<dl><dt>dimensions</dt>
<dd>[<code>integer(1)</code>] 
Size of corresponding parameter space.</dd>
<dt>k</dt>
<dd>[numeric] 
Vector of numerical values of length <code>dimensions</code>.
Default is <code>rep(1, dimensions)</code></dd></dl>

Arguments

Rastrigin Function — makeModifiedRastriginFunction

<dl>

<dt>dimensions</dt>
<dd>[<code>integer(1)</code>] 
Size of corresponding parameter space.</dd>


<dt>k</dt>
<dd>[numeric] 
Vector of numerical values of length <code>dimensions</code>.
Default is <code>rep(1, dimensions)</code></dd>

</dl>

makeModifiedRastriginFunction: Rastrigin Function

Description

Usage

Value

Arguments

References