makeBiSphereFunction

Builds and returns the bi-objective Sphere test problem:
$$f(\mathbf{x}) = \left(\sum_{i=1}^{n} \mathbf{x}_i^2, \sum_{i=1}^{n} (\mathbf{x}_i - \mathbf{a})^2\right)$$
where $$\mathbf{a} \in R^n$$.

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

makeBiSphereFunction function

<dl><dt>dimensions</dt>
<dd>[<code>integer(1)</code>] 
Number of decision variables.</dd>
<dt>a</dt>
<dd>[<code>numeric(1)</code>] 
Shift parameter for the second objective. Default is (0,...,0).</dd></dl>

Arguments

Bi-objective Sphere function — makeBiSphereFunction

<dl>

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


<dt>a</dt>
<dd>[<code>numeric(1)</code>] 
Shift parameter for the second objective. Default is (0,...,0).</dd>

</dl>

makeBiSphereFunction: Bi-objective Sphere function

Description

Usage

Value

Arguments