38 lines
1.0 KiB
Plaintext
38 lines
1.0 KiB
Plaintext
+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+
|
|
|
|
Function maximization (maxfct): A simple GA example with Open BEAGLE
|
|
|
|
Copyright (C) 2001-2003
|
|
by Christian Gagne <cgagne@gmail.com>
|
|
and Marc Parizeau <parizeau@gel.ulaval.ca>
|
|
|
|
+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+
|
|
|
|
|
|
Getting started
|
|
===============
|
|
|
|
Example is compiled in binary 'maxfct'. Usage options is described by
|
|
executing it with command-line argument '-OBusage'. The detailed help can
|
|
also be obtained with argument '-OBhelp'.
|
|
|
|
Objective
|
|
=========
|
|
|
|
Find the maximum of the following 5D function (LaTeX syntax):
|
|
$f(x) = \frac{161.8}{(u_N^2 \sum_{k=0}^{N-1}(x_k^2 + u_k^2))}$
|
|
with $x = <x_0, x_1, ..., x_{N-1}>$, $u_{k+1} = x_k + u_k$, $x_k$
|
|
in $[-200,200]$ for all $k$, $N = 5$ and $u_0 = 10$.
|
|
|
|
Representation
|
|
==============
|
|
|
|
Bit strings of 125 bits, constructed from the function's 5 arguments $x_i$,
|
|
each encoded with 25 bits on the interval $[-200,200]$.
|
|
|
|
Fitness
|
|
=======
|
|
|
|
Value of $f(x_1,x_2,x_3,x_4,x_5)$.
|
|
|