makeZDT1Function

Builds and returns the two-objective ZDT1 test problem. For $m$ objective it
is defined as follows:
$$f(\mathbf{x}) = \left(f_1(\mathbf{x}_1), f_2(\mathbf{x})\right)$$
with
$$f_1(\mathbf{x}_1) = \mathbf{x}_1, f_2(\mathbf{x}) = g(\mathbf{x}) h(f_1(\mathbf{x}_1), g(\mathbf{x}))$$
where
$$g(\mathbf{x}) = 1 + \frac{9}{m - 1} \sum_{i = 2}^m \mathbf{x}_i, h(f_1, g) = 1 - \sqrt{\frac{f_1}{g}}$$
and $\mathbf{x}_i \in [0,1], i = 1, \ldots, m$

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

makeZDT1Function function

<dl><dt>dimensions</dt>
<dd>[<code>integer(1)</code>] 
Number of decision variables.</dd></dl>

Arguments

ZDT1 Function — makeZDT1Function

<dl>

<dt>dimensions</dt>
<dd>[<code>integer(1)</code>] 
Number of decision variables.</dd>

</dl>

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makeZDT1Function: ZDT1 Function

Description

Usage

Value

Arguments

References