Last change
on this file since 3683 was
307,
checked in by swagner, 16 years ago
|
Updated description of test functions
|
File size:
1.8 KB
|
Line | |
---|
1 | \documentclass[12pt, a4paper]{article}
|
---|
2 |
|
---|
3 | %include packages
|
---|
4 | \usepackage{a4}
|
---|
5 | \usepackage[dvips]{graphicx}
|
---|
6 | \usepackage[ansinew]{inputenc}
|
---|
7 | \usepackage{epsfig}
|
---|
8 | \usepackage{amsmath}
|
---|
9 | \usepackage{amssymb}
|
---|
10 |
|
---|
11 | \pagestyle{plain}
|
---|
12 | \pagenumbering{arabic}
|
---|
13 |
|
---|
14 | \title{Real Valued Test Functions}
|
---|
15 | \author{Heuristic and Evolutionary Algorithms Laboratory (HEAL)}
|
---|
16 | \date{\today}
|
---|
17 |
|
---|
18 | \begin{document}
|
---|
19 | \maketitle
|
---|
20 |
|
---|
21 | \section*{Ackley Function}
|
---|
22 | \begin{equation*}
|
---|
23 | f(x) = 20 + e - 20 \cdot e^{-\frac{1}{5} \sqrt{\frac{1}{n} \sum_{i=1}^n x_i^2}} - e^{\frac{1}{n} \sum_{i=1}^n \cos(2 \pi x_i)}
|
---|
24 | \end{equation*}
|
---|
25 |
|
---|
26 | \begin{tabbing}
|
---|
27 | \hspace{5cm}\=\kill
|
---|
28 | \textbf{Dimensions:} \> $n$ \\
|
---|
29 | \textbf{Domain:} \> $-32.768 \leq x_i \leq 32.768$ \\
|
---|
30 | \textbf{Global Optimum:} \> $f(x) = 0.0$ at $x = (0.0, 0.0, \dots, 0.0)$ \\
|
---|
31 | \textbf{Operator:} \> AckleyEvaluator \\
|
---|
32 | \textbf{Charts:} \> \\
|
---|
33 | \end{tabbing}
|
---|
34 |
|
---|
35 | \begin{center}
|
---|
36 | \includegraphics[width=0.45\textwidth]{Images/Ackley_large}
|
---|
37 | \hfill
|
---|
38 | \includegraphics[width=0.45\textwidth]{Images/Ackley_small}
|
---|
39 | \end{center}
|
---|
40 |
|
---|
41 | \newpage
|
---|
42 |
|
---|
43 | \section*{Griewangk Function}
|
---|
44 | \begin{equation*}
|
---|
45 | f(x) = 1 + \sum_{i=1}^n \frac{x_i^2}{4000} - \prod_{i=1}^n cos(\frac{x_i}{\sqrt i})
|
---|
46 | \end{equation*}
|
---|
47 |
|
---|
48 | \begin{tabbing}
|
---|
49 | \hspace{5cm}\=\kill
|
---|
50 | \textbf{Dimensions:} \> $n$ \\
|
---|
51 | \textbf{Domain:} \> $-600.0 \leq x_i \leq 600.0$ \\
|
---|
52 | \textbf{Global Optimum:} \> $f(x) = 0.0$ at $x = (0.0, 0.0, \dots, 0.0)$ \\
|
---|
53 | \textbf{Operator:} \> GriewangkEvaluator \\
|
---|
54 | \textbf{Charts:} \> \\
|
---|
55 | \end{tabbing}
|
---|
56 |
|
---|
57 | \begin{center}
|
---|
58 | \includegraphics[width=0.45\textwidth]{Images/Griewangk_large}
|
---|
59 | \hfill
|
---|
60 | \includegraphics[width=0.45\textwidth]{Images/Griewangk_small}
|
---|
61 | \end{center}
|
---|
62 |
|
---|
63 | \end{document} |
---|
Note: See
TracBrowser
for help on using the repository browser.