diff options
| -rw-r--r-- | doc/src/sgml/geqo.sgml | 55 | ||||
| -rw-r--r-- | doc/src/sgml/images/Makefile | 1 | ||||
| -rw-r--r-- | doc/src/sgml/images/genetic-algorithm.gv | 48 | ||||
| -rw-r--r-- | doc/src/sgml/images/genetic-algorithm.svg | 140 |
4 files changed, 200 insertions, 44 deletions
diff --git a/doc/src/sgml/geqo.sgml b/doc/src/sgml/geqo.sgml index 5120dfbb424..39d2163d160 100644 --- a/doc/src/sgml/geqo.sgml +++ b/doc/src/sgml/geqo.sgml @@ -84,9 +84,19 @@ Through simulation of the evolutionary operations <firstterm>recombination</firstterm>, <firstterm>mutation</firstterm>, and <firstterm>selection</firstterm> new generations of search points are found - that show a higher average fitness than their ancestors. + that show a higher average fitness than their ancestors. <xref linkend="geqo-figure"/> + illustrates these steps. </para> + <figure id="geqo-figure"> + <title>Structure of a Genetic Algorithm</title> + <mediaobject> + <imageobject> + <imagedata fileref="images/genetic-algorithm.svg" format="SVG" width="100%"/> + </imageobject> + </mediaobject> + </figure> + <para> According to the <systemitem class="resource">comp.ai.genetic</systemitem> <acronym>FAQ</acronym> it cannot be stressed too strongly that a <acronym>GA</acronym> is not a pure random search for a solution to a @@ -94,49 +104,6 @@ non-random (better than random). </para> - <figure id="geqo-diagram"> - <title>Structured Diagram of a Genetic Algorithm</title> - - <informaltable frame="none"> - <tgroup cols="2"> - <tbody> - <row> - <entry>P(t)</entry> - <entry>generation of ancestors at a time t</entry> - </row> - - <row> - <entry>P''(t)</entry> - <entry>generation of descendants at a time t</entry> - </row> - </tbody> - </tgroup> - </informaltable> - -<literallayout class="monospaced"> -+=========================================+ -|>>>>>>>>>>> Algorithm GA <<<<<<<<<<<<<<| -+=========================================+ -| INITIALIZE t := 0 | -+=========================================+ -| INITIALIZE P(t) | -+=========================================+ -| evaluate FITNESS of P(t) | -+=========================================+ -| while not STOPPING CRITERION do | -| +-------------------------------------+ -| | P'(t) := RECOMBINATION{P(t)} | -| +-------------------------------------+ -| | P''(t) := MUTATION{P'(t)} | -| +-------------------------------------+ -| | P(t+1) := SELECTION{P''(t) + P(t)} | -| +-------------------------------------+ -| | evaluate FITNESS of P''(t) | -| +-------------------------------------+ -| | t := t + 1 | -+===+=====================================+ -</literallayout> - </figure> </sect1> <sect1 id="geqo-pg-intro"> diff --git a/doc/src/sgml/images/Makefile b/doc/src/sgml/images/Makefile index 1e7993020b5..f9e356348b2 100644 --- a/doc/src/sgml/images/Makefile +++ b/doc/src/sgml/images/Makefile @@ -3,6 +3,7 @@ # see README in this directory about image handling ALL_IMAGES = \ + genetic-algorithm.svg \ gin.svg \ pagelayout.svg diff --git a/doc/src/sgml/images/genetic-algorithm.gv b/doc/src/sgml/images/genetic-algorithm.gv new file mode 100644 index 00000000000..80c354c2c8b --- /dev/null +++ b/doc/src/sgml/images/genetic-algorithm.gv @@ -0,0 +1,48 @@ +digraph { + layout=dot; + + // default values + node [shape=box, label="", fontname="sans-serif", style=filled, fillcolor=white, fontsize=8]; + graph [fontname="sans-serif"]; // must be specified separately + edge [fontname="sans-serif"]; // must be specified separately + + // an unobtrusive background color + pad="1.0, 0.5"; + bgcolor=whitesmoke; + + // layout of edges and nodes + splines=ortho; + nodesep=0.3; + ranksep=0.3; + + // nodes + a1[label="INITIALIZE t := 0"]; + a2[label="INITIALIZE P(t)"]; + a3[label="evaluate FITNESS of P(t)"]; + a4[shape="diamond", label="STOPPING CRITERION"; width=4]; + + // connect 'end' node with 'a9' node (bottom of figure) + { + rank=same; + a9[label="t := t + 1"]; + // end-symbol similar to UML notation + end[shape=doublecircle, label="end", width=0.5]; + } + + a5[label="P'(t) := RECOMBINATION{P(t)}"]; + a6[label="P''(t) := MUTATION{P'(t)}"]; + a7[label="P(t+1) := SELECTION{P''(t) + P(t)}"]; + a8[label="evaluate FITNESS of P''(t)"]; + + // edges + a1 -> a2 -> a3 -> a4; + a4 -> a5[xlabel="false ", fontsize=10]; + a4 -> end[xlabel="true ", fontsize=10]; + a5 -> a6 -> a7 -> a8 -> a9; + a4 -> a9 [dir=back]; + + // explain the notation + expl [shape=plaintext, fontsize=10, width=3.2, fillcolor=whitesmoke, + label="P(t): generation of ancestors at a time t\lP''(t): generation of descendants at a time t\l"]; + +} diff --git a/doc/src/sgml/images/genetic-algorithm.svg b/doc/src/sgml/images/genetic-algorithm.svg new file mode 100644 index 00000000000..fb9fdd1ba78 --- /dev/null +++ b/doc/src/sgml/images/genetic-algorithm.svg @@ -0,0 +1,140 @@ +<?xml version="1.0"?> +<!-- Generated by graphviz version 2.40.1 (20161225.0304) + --> +<!-- Title: %3 Pages: 1 --> +<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"> +<g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(72 544.3026)"> +<title>%3</title> +<polygon fill="#f5f5f5" stroke="none" points="-72,36 -72,-544.3026 511,-544.3026 511,36 -72,36"/> +<!-- a1 --> +<g id="node1" class="node"> +<title>a1</title> +<polygon fill="#ffffff" stroke="#000000" points="187,-508.3026 101,-508.3026 101,-472.3026 187,-472.3026 187,-508.3026"/> +<text text-anchor="middle" x="144" y="-488.4026" font-family="sans-serif" font-size="8.00" fill="#000000">INITIALIZE t := 0</text> +</g> +<!-- a2 --> +<g id="node2" class="node"> +<title>a2</title> +<polygon fill="#ffffff" stroke="#000000" points="182,-450.3026 106,-450.3026 106,-414.3026 182,-414.3026 182,-450.3026"/> +<text text-anchor="middle" x="144" y="-430.4026" font-family="sans-serif" font-size="8.00" fill="#000000">INITIALIZE P(t)</text> +</g> +<!-- a1->a2 --> +<g id="edge1" class="edge"> +<title>a1->a2</title> +<path fill="none" stroke="#000000" d="M144,-472.269C144,-472.269 144,-460.5248 144,-460.5248"/> +<polygon fill="#000000" stroke="#000000" points="147.5001,-460.5248 144,-450.5248 140.5001,-460.5249 147.5001,-460.5248"/> +</g> +<!-- a3 --> +<g id="node3" class="node"> +<title>a3</title> +<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"/> +<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> +</g> +<!-- a2->a3 --> +<g id="edge2" class="edge"> +<title>a2->a3</title> +<path fill="none" stroke="#000000" d="M144,-414.269C144,-414.269 144,-402.5248 144,-402.5248"/> +<polygon fill="#000000" stroke="#000000" points="147.5001,-402.5248 144,-392.5248 140.5001,-402.5249 147.5001,-402.5248"/> +</g> +<!-- a4 --> +<g id="node4" class="node"> +<title>a4</title> +<polygon fill="#ffffff" stroke="#000000" points="144,-334.3026 0,-316.3026 144,-298.3026 288,-316.3026 144,-334.3026"/> +<text text-anchor="middle" x="144" y="-314.4026" font-family="sans-serif" font-size="8.00" fill="#000000">STOPPING CRITERION</text> +</g> +<!-- a3->a4 --> +<g id="edge3" class="edge"> +<title>a3->a4</title> +<path fill="none" stroke="#000000" d="M144,-356.269C144,-356.269 144,-344.5248 144,-344.5248"/> +<polygon fill="#000000" stroke="#000000" points="147.5001,-344.5248 144,-334.5248 140.5001,-344.5249 147.5001,-344.5248"/> +</g> +<!-- a9 --> +<g id="node5" class="node"> +<title>a9</title> +<polygon fill="#ffffff" stroke="#000000" points="106,-40.1513 50,-40.1513 50,-4.1513 106,-4.1513 106,-40.1513"/> +<text text-anchor="middle" x="78" y="-20.2513" font-family="sans-serif" font-size="8.00" fill="#000000">t := t + 1</text> +</g> +<!-- a4->a9 --> +<g id="edge10" class="edge"> +<title>a4->a9</title> +<path fill="none" stroke="#000000" d="M56.75,-299.0314C56.75,-299.0314 56.75,-40.524 56.75,-40.524"/> +<polygon fill="#000000" stroke="#000000" points="53.2501,-299.0314 56.75,-309.0314 60.2501,-299.0314 53.2501,-299.0314"/> +</g> +<!-- end --> +<g id="node6" class="node"> +<title>end</title> +<ellipse fill="#ffffff" stroke="#000000" cx="259" cy="-22.1513" rx="18.2761" ry="18.2761"/> +<ellipse fill="none" stroke="#000000" cx="259" cy="-22.1513" rx="22.3036" ry="22.3036"/> +<text text-anchor="middle" x="259" y="-20.2513" font-family="sans-serif" font-size="8.00" fill="#000000">end</text> +</g> +<!-- a4->end --> +<g id="edge5" class="edge"> +<title>a4->end</title> +<path fill="none" stroke="#000000" d="M259,-312.5834C259,-312.5834 259,-54.659 259,-54.659"/> +<polygon fill="#000000" stroke="#000000" points="262.5001,-54.659 259,-44.659 255.5001,-54.6591 262.5001,-54.659"/> +<text text-anchor="middle" x="246" y="-186.6212" font-family="sans-serif" font-size="10.00" fill="#000000">true </text> +</g> +<!-- a5 --> +<g id="node7" class="node"> +<title>a5</title> +<polygon fill="#ffffff" stroke="#000000" points="216,-276.3026 72,-276.3026 72,-240.3026 216,-240.3026 216,-276.3026"/> +<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> +</g> +<!-- a4->a5 --> +<g id="edge4" class="edge"> +<title>a4->a5</title> +<path fill="none" stroke="#000000" d="M144,-298.269C144,-298.269 144,-286.5248 144,-286.5248"/> +<polygon fill="#000000" stroke="#000000" points="147.5001,-286.5248 144,-276.5248 140.5001,-286.5249 147.5001,-286.5248"/> +<text text-anchor="middle" x="127" y="-284.3969" font-family="sans-serif" font-size="10.00" fill="#000000">false </text> +</g> +<!-- a6 --> +<g id="node8" class="node"> +<title>a6</title> +<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"/> +<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> +</g> +<!-- a5->a6 --> +<g id="edge6" class="edge"> +<title>a5->a6</title> +<path fill="none" stroke="#000000" d="M144,-240.269C144,-240.269 144,-228.5248 144,-228.5248"/> +<polygon fill="#000000" stroke="#000000" points="147.5001,-228.5248 144,-218.5248 140.5001,-228.5249 147.5001,-228.5248"/> +</g> +<!-- a7 --> +<g id="node9" class="node"> +<title>a7</title> +<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"/> +<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> +</g> +<!-- a6->a7 --> +<g id="edge7" class="edge"> +<title>a6->a7</title> +<path fill="none" stroke="#000000" d="M144,-182.269C144,-182.269 144,-170.5248 144,-170.5248"/> +<polygon fill="#000000" stroke="#000000" points="147.5001,-170.5248 144,-160.5248 140.5001,-170.5249 147.5001,-170.5248"/> +</g> +<!-- a8 --> +<g id="node10" class="node"> +<title>a8</title> +<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"/> +<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> +</g> +<!-- a7->a8 --> +<g id="edge8" class="edge"> +<title>a7->a8</title> +<path fill="none" stroke="#000000" d="M135,-124.269C135,-124.269 135,-112.5248 135,-112.5248"/> +<polygon fill="#000000" stroke="#000000" points="138.5001,-112.5248 135,-102.5248 131.5001,-112.5249 138.5001,-112.5248"/> +</g> +<!-- a8->a9 --> +<g id="edge9" class="edge"> +<title>a8->a9</title> +<path fill="none" stroke="#000000" d="M89.75,-65.9913C89.75,-65.9913 89.75,-50.5465 89.75,-50.5465"/> +<polygon fill="#000000" stroke="#000000" points="93.2501,-50.5464 89.75,-40.5465 86.2501,-50.5465 93.2501,-50.5464"/> +</g> +<!-- expl --> +<g id="node11" class="node"> +<title>expl</title> +<polygon fill="#f5f5f5" stroke="none" points="439,-508.3026 209,-508.3026 209,-472.3026 439,-472.3026 439,-508.3026"/> +<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> +<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> +</g> +</g> +</svg> |
