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Replace genetic algorithm ASCII-art with a real figure
Author: Jürgen Purtz Discussion: https://postgr.es/m/c6027f7a-78ea-8453-0837-09903ba5fd9b@purtz.de
This commit is contained in:
Alvaro Herrera
parent
a407012c07
commit
28b6ec1df6
@ -84,9 +84,19 @@
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Through simulation of the evolutionary operations <firstterm>recombination</firstterm>,
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Through simulation of the evolutionary operations <firstterm>recombination</firstterm>,
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<firstterm>mutation</firstterm>, and
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<firstterm>mutation</firstterm>, and
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<firstterm>selection</firstterm> new generations of search points are found
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<firstterm>selection</firstterm> new generations of search points are found
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that show a higher average fitness than their ancestors.
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that show a higher average fitness than their ancestors. <xref linkend="geqo-figure"/>
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illustrates these steps.
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</para>
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</para>
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<figure id="geqo-figure">
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<title>Structure of a Genetic Algorithm</title>
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<mediaobject>
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<imageobject>
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<imagedata fileref="images/genetic-algorithm.svg" format="SVG" width="100%"/>
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</imageobject>
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</mediaobject>
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</figure>
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<para>
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<para>
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According to the <systemitem class="resource">comp.ai.genetic</systemitem> <acronym>FAQ</acronym> it cannot be stressed too
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According to the <systemitem class="resource">comp.ai.genetic</systemitem> <acronym>FAQ</acronym> it cannot be stressed too
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strongly that a <acronym>GA</acronym> is not a pure random search for a solution to a
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strongly that a <acronym>GA</acronym> is not a pure random search for a solution to a
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@ -94,49 +104,6 @@
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non-random (better than random).
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non-random (better than random).
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</para>
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</para>
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<figure id="geqo-diagram">
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<title>Structured Diagram of a Genetic Algorithm</title>
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<informaltable frame="none">
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<tgroup cols="2">
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<tbody>
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<row>
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<entry>P(t)</entry>
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<entry>generation of ancestors at a time t</entry>
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</row>
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<row>
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<entry>P''(t)</entry>
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<entry>generation of descendants at a time t</entry>
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</row>
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</tbody>
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</tgroup>
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</informaltable>
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<literallayout class="monospaced">
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+=========================================+
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|>>>>>>>>>>> Algorithm GA <<<<<<<<<<<<<<|
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+=========================================+
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| INITIALIZE t := 0 |
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+=========================================+
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| INITIALIZE P(t) |
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+=========================================+
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| evaluate FITNESS of P(t) |
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+=========================================+
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| while not STOPPING CRITERION do |
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| +-------------------------------------+
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| | P'(t) := RECOMBINATION{P(t)} |
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| +-------------------------------------+
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| | P''(t) := MUTATION{P'(t)} |
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| +-------------------------------------+
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| | P(t+1) := SELECTION{P''(t) + P(t)} |
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| +-------------------------------------+
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| | evaluate FITNESS of P''(t) |
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| +-------------------------------------+
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| | t := t + 1 |
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+===+=====================================+
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</literallayout>
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</figure>
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</sect1>
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</sect1>
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<sect1 id="geqo-pg-intro">
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<sect1 id="geqo-pg-intro">
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@ -3,6 +3,7 @@
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# see README in this directory about image handling
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# see README in this directory about image handling
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ALL_IMAGES = \
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ALL_IMAGES = \
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genetic-algorithm.svg \
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gin.svg \
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gin.svg \
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pagelayout.svg
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pagelayout.svg
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48
doc/src/sgml/images/genetic-algorithm.gv
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48
doc/src/sgml/images/genetic-algorithm.gv
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@ -0,0 +1,48 @@
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digraph {
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layout=dot;
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// default values
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node [shape=box, label="", fontname="sans-serif", style=filled, fillcolor=white, fontsize=8];
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graph [fontname="sans-serif"]; // must be specified separately
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edge [fontname="sans-serif"]; // must be specified separately
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// an unobtrusive background color
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pad="1.0, 0.5";
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bgcolor=whitesmoke;
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// layout of edges and nodes
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splines=ortho;
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nodesep=0.3;
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ranksep=0.3;
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// nodes
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a1[label="INITIALIZE t := 0"];
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a2[label="INITIALIZE P(t)"];
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a3[label="evaluate FITNESS of P(t)"];
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a4[shape="diamond", label="STOPPING CRITERION"; width=4];
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// connect 'end' node with 'a9' node (bottom of figure)
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{
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rank=same;
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a9[label="t := t + 1"];
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// end-symbol similar to UML notation
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end[shape=doublecircle, label="end", width=0.5];
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}
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a5[label="P'(t) := RECOMBINATION{P(t)}"];
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a6[label="P''(t) := MUTATION{P'(t)}"];
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a7[label="P(t+1) := SELECTION{P''(t) + P(t)}"];
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a8[label="evaluate FITNESS of P''(t)"];
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// edges
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a1 -> a2 -> a3 -> a4;
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a4 -> a5[xlabel="false ", fontsize=10];
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a4 -> end[xlabel="true ", fontsize=10];
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a5 -> a6 -> a7 -> a8 -> a9;
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a4 -> a9 [dir=back];
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// explain the notation
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expl [shape=plaintext, fontsize=10, width=3.2, fillcolor=whitesmoke,
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label="P(t): generation of ancestors at a time t\lP''(t): generation of descendants at a time t\l"];
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}
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140
doc/src/sgml/images/genetic-algorithm.svg
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140
doc/src/sgml/images/genetic-algorithm.svg
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@ -0,0 +1,140 @@
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<?xml version="1.0"?>
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<!-- Generated by graphviz version 2.40.1 (20161225.0304)
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-->
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<!-- Title: %3 Pages: 1 -->
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<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="583pt" height="580pt" viewBox="0.00 0.00 583.00 580.30">
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<g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(72 544.3026)">
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<title>%3</title>
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<polygon fill="#f5f5f5" stroke="none" points="-72,36 -72,-544.3026 511,-544.3026 511,36 -72,36"/>
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<!-- a1 -->
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<g id="node1" class="node">
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<title>a1</title>
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<polygon fill="#ffffff" stroke="#000000" points="187,-508.3026 101,-508.3026 101,-472.3026 187,-472.3026 187,-508.3026"/>
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<text text-anchor="middle" x="144" y="-488.4026" font-family="sans-serif" font-size="8.00" fill="#000000">INITIALIZE t := 0</text>
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</g>
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<!-- a2 -->
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<g id="node2" class="node">
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<title>a2</title>
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<polygon fill="#ffffff" stroke="#000000" points="182,-450.3026 106,-450.3026 106,-414.3026 182,-414.3026 182,-450.3026"/>
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<text text-anchor="middle" x="144" y="-430.4026" font-family="sans-serif" font-size="8.00" fill="#000000">INITIALIZE P(t)</text>
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</g>
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<!-- a1->a2 -->
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<g id="edge1" class="edge">
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<title>a1->a2</title>
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<path fill="none" stroke="#000000" d="M144,-472.269C144,-472.269 144,-460.5248 144,-460.5248"/>
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<polygon fill="#000000" stroke="#000000" points="147.5001,-460.5248 144,-450.5248 140.5001,-460.5249 147.5001,-460.5248"/>
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</g>
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<!-- a3 -->
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<g id="node3" class="node">
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<title>a3</title>
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<polygon fill="#ffffff" stroke="#000000" points="203.5,-392.3026 84.5,-392.3026 84.5,-356.3026 203.5,-356.3026 203.5,-392.3026"/>
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<text text-anchor="middle" x="144" y="-372.4026" font-family="sans-serif" font-size="8.00" fill="#000000">evaluate FITNESS of P(t)</text>
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</g>
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<!-- a2->a3 -->
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<g id="edge2" class="edge">
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<title>a2->a3</title>
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<path fill="none" stroke="#000000" d="M144,-414.269C144,-414.269 144,-402.5248 144,-402.5248"/>
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<polygon fill="#000000" stroke="#000000" points="147.5001,-402.5248 144,-392.5248 140.5001,-402.5249 147.5001,-402.5248"/>
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</g>
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<!-- a4 -->
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<g id="node4" class="node">
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<title>a4</title>
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<polygon fill="#ffffff" stroke="#000000" points="144,-334.3026 0,-316.3026 144,-298.3026 288,-316.3026 144,-334.3026"/>
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<text text-anchor="middle" x="144" y="-314.4026" font-family="sans-serif" font-size="8.00" fill="#000000">STOPPING CRITERION</text>
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</g>
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<!-- a3->a4 -->
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<g id="edge3" class="edge">
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<title>a3->a4</title>
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<path fill="none" stroke="#000000" d="M144,-356.269C144,-356.269 144,-344.5248 144,-344.5248"/>
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<polygon fill="#000000" stroke="#000000" points="147.5001,-344.5248 144,-334.5248 140.5001,-344.5249 147.5001,-344.5248"/>
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</g>
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<!-- a9 -->
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<g id="node5" class="node">
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<title>a9</title>
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<polygon fill="#ffffff" stroke="#000000" points="106,-40.1513 50,-40.1513 50,-4.1513 106,-4.1513 106,-40.1513"/>
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<text text-anchor="middle" x="78" y="-20.2513" font-family="sans-serif" font-size="8.00" fill="#000000">t := t + 1</text>
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</g>
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<!-- a4->a9 -->
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<g id="edge10" class="edge">
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<title>a4->a9</title>
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<path fill="none" stroke="#000000" d="M56.75,-299.0314C56.75,-299.0314 56.75,-40.524 56.75,-40.524"/>
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<polygon fill="#000000" stroke="#000000" points="53.2501,-299.0314 56.75,-309.0314 60.2501,-299.0314 53.2501,-299.0314"/>
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</g>
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<!-- end -->
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<g id="node6" class="node">
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<title>end</title>
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<ellipse fill="#ffffff" stroke="#000000" cx="259" cy="-22.1513" rx="18.2761" ry="18.2761"/>
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<ellipse fill="none" stroke="#000000" cx="259" cy="-22.1513" rx="22.3036" ry="22.3036"/>
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<text text-anchor="middle" x="259" y="-20.2513" font-family="sans-serif" font-size="8.00" fill="#000000">end</text>
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</g>
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<!-- a4->end -->
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<g id="edge5" class="edge">
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<title>a4->end</title>
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<path fill="none" stroke="#000000" d="M259,-312.5834C259,-312.5834 259,-54.659 259,-54.659"/>
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<polygon fill="#000000" stroke="#000000" points="262.5001,-54.659 259,-44.659 255.5001,-54.6591 262.5001,-54.659"/>
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<text text-anchor="middle" x="246" y="-186.6212" font-family="sans-serif" font-size="10.00" fill="#000000">true </text>
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</g>
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<!-- a5 -->
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<g id="node7" class="node">
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<title>a5</title>
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<polygon fill="#ffffff" stroke="#000000" points="216,-276.3026 72,-276.3026 72,-240.3026 216,-240.3026 216,-276.3026"/>
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<text text-anchor="middle" x="144" y="-256.4026" font-family="sans-serif" font-size="8.00" fill="#000000">P'(t) := RECOMBINATION{P(t)}</text>
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</g>
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<!-- a4->a5 -->
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<g id="edge4" class="edge">
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<title>a4->a5</title>
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<path fill="none" stroke="#000000" d="M144,-298.269C144,-298.269 144,-286.5248 144,-286.5248"/>
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<polygon fill="#000000" stroke="#000000" points="147.5001,-286.5248 144,-276.5248 140.5001,-286.5249 147.5001,-286.5248"/>
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<text text-anchor="middle" x="127" y="-284.3969" font-family="sans-serif" font-size="10.00" fill="#000000">false </text>
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</g>
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<!-- a6 -->
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<g id="node8" class="node">
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<title>a6</title>
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<polygon fill="#ffffff" stroke="#000000" points="204.5,-218.3026 83.5,-218.3026 83.5,-182.3026 204.5,-182.3026 204.5,-218.3026"/>
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<text text-anchor="middle" x="144" y="-198.4026" font-family="sans-serif" font-size="8.00" fill="#000000">P''(t) := MUTATION{P'(t)}</text>
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</g>
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<!-- a5->a6 -->
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<g id="edge6" class="edge">
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<title>a5->a6</title>
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<path fill="none" stroke="#000000" d="M144,-240.269C144,-240.269 144,-228.5248 144,-228.5248"/>
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<polygon fill="#000000" stroke="#000000" points="147.5001,-228.5248 144,-218.5248 140.5001,-228.5249 147.5001,-228.5248"/>
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</g>
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<!-- a7 -->
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<g id="node9" class="node">
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<title>a7</title>
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<polygon fill="#ffffff" stroke="#000000" points="224.5,-160.3026 63.5,-160.3026 63.5,-124.3026 224.5,-124.3026 224.5,-160.3026"/>
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<text text-anchor="middle" x="144" y="-140.4026" font-family="sans-serif" font-size="8.00" fill="#000000">P(t+1) := SELECTION{P''(t) + P(t)}</text>
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</g>
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<!-- a6->a7 -->
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<g id="edge7" class="edge">
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<title>a6->a7</title>
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<path fill="none" stroke="#000000" d="M144,-182.269C144,-182.269 144,-170.5248 144,-170.5248"/>
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<polygon fill="#000000" stroke="#000000" points="147.5001,-170.5248 144,-160.5248 140.5001,-170.5249 147.5001,-170.5248"/>
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</g>
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<!-- a8 -->
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<g id="node10" class="node">
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<title>a8</title>
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<polygon fill="#ffffff" stroke="#000000" points="196.5,-102.3026 73.5,-102.3026 73.5,-66.3026 196.5,-66.3026 196.5,-102.3026"/>
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<text text-anchor="middle" x="135" y="-82.4026" font-family="sans-serif" font-size="8.00" fill="#000000">evaluate FITNESS of P''(t)</text>
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</g>
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<!-- a7->a8 -->
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<g id="edge8" class="edge">
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<title>a7->a8</title>
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<path fill="none" stroke="#000000" d="M135,-124.269C135,-124.269 135,-112.5248 135,-112.5248"/>
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||||||
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<polygon fill="#000000" stroke="#000000" points="138.5001,-112.5248 135,-102.5248 131.5001,-112.5249 138.5001,-112.5248"/>
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</g>
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<!-- a8->a9 -->
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<g id="edge9" class="edge">
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<title>a8->a9</title>
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<path fill="none" stroke="#000000" d="M89.75,-65.9913C89.75,-65.9913 89.75,-50.5465 89.75,-50.5465"/>
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||||||
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<polygon fill="#000000" stroke="#000000" points="93.2501,-50.5464 89.75,-40.5465 86.2501,-50.5465 93.2501,-50.5464"/>
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</g>
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<!-- expl -->
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<g id="node11" class="node">
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<title>expl</title>
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<polygon fill="#f5f5f5" stroke="none" points="439,-508.3026 209,-508.3026 209,-472.3026 439,-472.3026 439,-508.3026"/>
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<text text-anchor="start" x="217" y="-493.3026" font-family="sans-serif" font-size="10.00" fill="#000000">P(t): generation of ancestors at a time t</text>
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<text text-anchor="start" x="217" y="-482.3026" font-family="sans-serif" font-size="10.00" fill="#000000">P''(t): generation of descendants at a time t</text>
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</g>
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</g>
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</svg>
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After Width: | Height: | Size: 7.3 KiB |
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