COSC-4P82-Final-Project/lib/beagle-3.0.3/examples/GA/maxfct/README

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2024-04-01 00:01:49 -04:00
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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>
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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 $f(x_1,x_2,x_3,x_4,x_5)$.