makeMichalewiczFunction

Highly multimodal single-objective test function with $n!$ local minima
with the formula:
$$f(\mathbf{x}) = -\sum_{i=1}^{n} \sin(\mathbf{x}_i) \cdot \left(\sin\left(\frac{i \cdot \mathbf{x}_i}{\pi}\right)\right)^{2m}.$$
The recommended value $m = 10$, which is used as a default in the
implementation.

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

makeMichalewiczFunction function

<dl><dt>dimensions</dt>
<dd>[<code>integer(1)</code>] 
Size of corresponding parameter space.</dd>
<dt>m</dt>
<dd>[<code>integer(1)</code>] 
&#8220;Steepness&#8221; parameter.</dd></dl>

Arguments

Michalewicz Function — makeMichalewiczFunction

<dl>

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


<dt>m</dt>
<dd>[<code>integer(1)</code>] 
&#8220;Steepness&#8221; parameter.</dd>

</dl>

makeMichalewiczFunction: Michalewicz Function

Description

Usage

Value

Arguments

References